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Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 45 | P a g e
An Overview of Adaptive Approaches in Flight Control
Y. Rajeshwari, V. Rajeswari
Prof. & Head, ICE Dept. GNITS Engg.,College
Assistant Professor,ICE Dept. GNITS.Engg., College
Abstract
Multi-mode switching between controllers corresponding to different modes of operation is needed in
those cases when the transition from one mode to another results in substantial flight-critical variations in the
aircraft dynamics. To address this problem, a general framework for multi-modal flight control is
proposed. The framework is based on the Multiple Models, Switching and Tuning (MMST)
methodology, combined with Model-Predictive Control (MPC), and the use of different robust mechanisms
for switching between the multi-modal controllers. It was shown that many different switching control
strategies can be naturally derived from the basic framework, which demonstrates the generality of the
proposed approach.
Key words: MMST, MPC, Mode prediction, Flight control, Switching, Optimization
I. Introduction
Multi-modal control can be broadly defined as a
set of control strategies used to achieve the pre-
specified objectives for a controlled vehicle in
different modes of operation. Modes of operation
are related to the vehicle dynamics and its
environment. For instance, in the case of air
vehicles, possible modes of operation include
mission modes and internal and external modes.
Those are described below.
Mission Modes: During a mission, the vehicle
goes through different modes of operation. For
instance, during a strike mission an advanced combat
aircraft goes through take-off, super-cruise, low-
altitude ingress, target strike, air combat
maneuvering, low altitude egress, powered
approach, and landing.In general, in those modes,
different control strategies are used to achieve the
desired performance. In this context, the desired
performance includes not only the requirement
for accurate tracking of commanded signals,
but also that of optimal guidance to assure low
signature, optimum fuel consumption etc.
One widely used strategy for air vehicles
operating in different flight regimes is Gain
Scheduling shown in Figure 1
closed-loop system.
While this strategy has been widely used in
practice, its main disadvantage is that the stability
and robustness of the overall system is difficult to
predict, particularly in the presence of unanticipated
events such as disturbances, failures, battle damage, et
cetera.
Internal Modes: Common variations of the air
vehicle dynamics during different segments of a
mission are due to fuel consumption, store release,
weight changes (in the case of air drops), usage of
different engines (as in hypersonic vehicles), et
cetera. During transitions between these modes
either a sufficiently robust baseline control strategy
or a gain-scheduled controller can be used.
However, of particular importance in this
context are failure modes since unexpected failures
of flight-critical subsystems or components can lead
to substantial performance degradation and even to
the loss of the vehicle. Such failures include sensor,
control effector, actuator and engine failures, and
failures of avionics subsystems and the flight
computer. While there are methods available for on-
line Failure Detection and Identification (FDI) and
Adaptive Reconfigurable Control (ARC) of
advanced fighter aircraft [1,2,3], a
comprehensive approach that can handle multiple
simultaneous failures of flight-critical subsystems
and components has not been developed yet.
External Modes: can be described as those
arising from unexpected variations in the
environments encountered by the vehicle. These
include: (i) Loss of communication with the
command center or other team members; (ii) Very
large external disturbances; (iii) Battle damage; and
(iv) Sudden pop-up threats. In such cases,
advanced identification, FDI-ARC, and estimation
RESEARCH ARTICLE OPEN ACCESS
Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 46 | P a g e
algorithms are needed to stabilize the vehicle and
achieve at least some minimum tolerable
performance. While some of the partial solutions to
this problem are available [4,6,8], there is a need to
develop a comprehensive Autonomous Intelligent
Flight Control Systems (AI-FCS) that can achieve
the desired objectives despite encountering
unanticipated modes of operation. The design of
such AI-FCSs is one of the key research areas in
SSCI.
Multi Modal Control Systems (MMCS) and AI-
FCS should have a capability to handle efficiently
mission modes under unexpected internal and
external variations. This objective should be
achievable with the available control authority,
which emphasizes the importance of real-time
Control Input Redundancy Management for on-line
MMCS and AI-FCS.
Basic elements of MMCS and AI-FCS include:
• Redundancy management
• Mode prediction
• Disturbance estimation and rejection
• Failure Detection and Identification (FDI) and
Damage Detection and Identification (DDI) as a
part of the Health Management System (HMS),
• State estimation and filtering, and
• Decision making subsystem(s).
An AI-FCS under development by SSCI, is shown
in Figure 2.
Figure 2: Structure of the AI-FCS
In this context, of particular importance is mode
prediction, since, based on the models of the
vehicle and its environment, the transitions between
different modes can be predicted, and this
information can be used to choose the best control
strategy. Such a MMCS is shown in Figure 3.
The overall AI-FCS should, hence, combine the
following strategies:
• MMST, where multiple observers can be used
for specifying a number of different modes of
operation related to failures, battle damage and the
presence of large disturbances;
• MPC that can be used for prediction of the
modes of operation and for ARC in the
presence of failures and uncertainties under
different constraints; and
• Multi-layer hierarchical control structure for
specifying the links between the executable
levels and decision-making subsystems.
Model-Predictive Control (MPC)
MPC is an optimal control approach
involving direct use of both linear and nonlinear
internal models of a plant and on-line
optimization techniques to assure that the objective
of tracking a desired trajectory is achieved under
constraints on the control inputs, states and outputs.
One of the most important aspects of the MPC
is that it can explicitly account for both position and
rate limits on the control effectors, which is a
unique capability in comparison with other
available control strategies.
Other important aspects include the fact that the
internal model of the MPC can be either linear or
nonlinear, and that it can be identified and changed
on-line for a fully adaptive MPC design. In
addition, the MPC-based multiple model FDI-ARC
schemes have been demonstrated as highly effective
for achieving the control objectives in the presence
of severe subsystem or component failures.
Structure of an MPC scheme is shown in Figure
4.
The internal model of the plant has the same
input as the actual plant, and its output approximates
the true output.
The observer (predictor) predicts the future
output of the plant T steps ahead based on the
internal model, while, over the same prediction
horizon 7, the reference model generates a trajectory
that the future outputs should follow.
The optimization technique commonly used in
the context of MPC is a constrained Sequential
Quadratic Programming (SQP) algorithm. It is
Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 47 | P a g e
based on a quadratic cost functional J that depends
on the values of the tracking error over the
prediction horizon T, and on the control input
values over the control horizon M. This cost
functional is subject to the constraints on states,
output and inputs. The MPC algorithm calculates an
optimal sequence of control inputs by minimizing J
over T, applies the first element of the input
sequence to the plant, and repeats the procedure. The
concept of MPC is shown in figure 5.
Figure 5: Model Predictive Control Philosophy
We will next discuss the applications of the
MMST concept in the design of MMCS and AI-
FCSs.
Multiple Models, Switching, and Tuning
(MMST)
The concept of MMST has been extensively
used by SSCI in the context of both aircraft
and spacecraft control [5]—[10]. Its main
advantages over single model-based adaptive
controllers are summarized below:
1. The MMST-based schemes can achieve effective
control reconfiguration and excellent overall
performance even in the case of severe failures
when single model adaptive controllers fail to
achieve the objective.
2. MMST appears to be the only available approach
that can be used to solve the problem of efficient
adaptive control reconfiguration for TAFA in the
presence of severe wing damage.
3. A particularly attractive feature of the
MMST controllers is that they result in a stable
overall system despite the presence of severe
failures and wing damage.
The basic comparison of the MMST controller with
a single model adaptive controller is described in
Figure 6.
As shown in the figure, failure may cause the
plant dynamics to switch abruptly from some
nominal point Po in the parametric space, to the point
P corresponding to the failed plant.
The top figure illustrates the case when
adaptation using a single model may be too slow to
identify the new operating regime and
reconfigure the controller. In such a case placing
several models in the parametric set, switching to
the model close to the dynamics of the failed plant,
and adapting from there can result in fast and
accurate control reconfiguration.
The concept of MMST is based on the idea of
describing the dynamics of the system using
different models for different operating regimes;
such models identify in some sense the current
dynamics of the system and are consequently
referred to as the identification models or observers.
The basic idea is to set up such
identification models (observers) and corresponding
controllers in parallel, Figure 7, and to devise a
suitable strategy for switching among the controllers
to achieve the desired control objective. While the
plant is being controlled using one of these
controllers, the identification models are run in
parallel to generate some measure of the
corresponding identification errors and find a model
which is, in some sense, closest to the current
Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 48 | P a g e
operating regime of the plant.
Once such a model is found, the switching
mechanism switches to (or stays at) the
corresponding controller assuring overall stability.
In the context of reconfigurable control design
in the presence of parametric uncertainties and/or
sensor, actuator and structural failures, the
identification models (observers) MIf...,MN from
Figure 7 correspond to different regions in the
parameter space characterizing different types of
failures, while C/,...,C/v denote the corresponding
controllers. Such an approach was used in [5,7,9,10]
for adaptive reconfigurable control design, yielding
excellent performance of the overall system in the
presence of severe failures and battle damage.
II. Design of Multi-Modal Algorithms
using Combined Switching
Controllers
In general, the aircraft dynamics is characterized
by transitions between different modes of operation.
Such variation in the dynamics may be due to
transitions between different flight regimes, or the
effect of large external disturbances, or to
subsystem and/or component failures. In such cases,
different strategies for FDI-ARC and AI-FCS
design are needed for different modes of operation.
In this context, one viable approach is that based
on MMST. To take into account different
constraints, an adaptive MPC needs to be used
within the multiple model framework.
The emphasis of the overall design then needs to
be on different performance specifications and
different control strategies in different modes of
operation, and a multi-modal approach to on-line
control redesign for transition between different
modes and control reconfiguration in the presence
of failures.
One of the related problems is the choice of
the most suitable control strategies in different
modes of operation. As it is well known, the
Inverse Dynamics Control Law (IDCL) algorithm
[23] is computationally simple and easy to
implement. However, it does not take into account
explicitly position and rate limits on the control
effectors, which may cause unacceptable transients
and even instability of the overall system. On the
other hand, the MPC strategy takes these
constraints into account but is computationally
intensive. Hence a viable compromise is a control
strategy that uses the IDCL as long as there is no rate
or position limiting, and switches to the MPC when
one or more inputs are about to saturate. The
proposed scheme is shown in Fgure R.
Such a scheme needs to be developed in the
context of MMST to assure overall stability and
robustness to uncertainties.
An important aspect of such an approach is
that even in the cases when the IDCL is used to
control the aircraft, the MPC estimator is running
an providing predicted values of the state of the
system, which is an important information for
higher decision-making levels.
III. Parameter Estimation-Based
Switching Control
Another approach that appears well suited for the
problem under consideration is that based on
estimation-based switching among the controllers.
This approach is motivated by our results obtain in
[9], and is illustrated in Figure 9.
Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 49 | P a g e
The basic idea is to use the on-line estimates of
the aircraft parameters to decide which controller to
choose in a particular flight regime or mode of
operation. As seen in the Figure, if the plant
dynamics abruptly switches from the point Po to
point P in the parametric set, the estimate will
moves through the parametric set trying to identify
the model corresponding to the point P. The
parametric set is divided into subsets so that each
subset there is a corresponding controller Cj,...,C4
that achieves the objective for all values of
parameters from the subset. As the estimate moves
into a particular subset, the scheme switches to the
corresponding controller. To prevent chattering, a
hysteresis switching rule can be used.
A particularly attractive feature of this approach
is that it appears that the stability of the overall system
can be explicitly proved, which is not the case with
standard gain-scheduled controllers.
Prediction-Based Switching Control
An interesting observation in this context is that,
conceptually, there is no difference between
parameter estimation-based switching control and
prediction-based switching control. In particular, let
the plant go through transitions among different sets
in the state space, where, for each set we have the
corresponding controller Cj,...yCN. If the controller
gains are changed based on the variation of some of
the state variables, we have gain scheduling. If the
gains are changed based on on-line parameter
estimates, we have indirect adaptive control
In the previous sections we discussed switching
between different controllers based either on the
control input or parameter estimates. Another
promising strategy is that based on the predicted
state of the system. In particular, we can run the
MPC to arrive at the values of the state T steps
ahead. If the predicted state moves to a different set
in the state space, we can switch to the
corresponding controller based on this prediction.
IV. Conclusions
In this paper we propose a general framework for
multi-mode switching in flight control. From the
flight control design point of view, multi-mode
switching between controllers corresponding to
different modes of operation is needed in those cases
when the transition from one mode to another results
in substantial flight-critical variations in the aircraft
dynamics.
To address this problem, a general framework
for multi-modal flight control is proposed. The frame
work is based on the Multiple Models Switching and
Tuning (MMST) methodology, combined with
Model-Predictive Control (MPC), and using
different robust mechanisms for switching between
the multi-modal controllers. It is shown that many
different switching control strategies can be
naturally derived from the basic framework, which
demonstrates the generality of proposed approach.
REFERENCES
[1] M. Bodson and J. Groszkiewicz,
"Multivariable Adaptive Algorithms for
Reconfigurable Flight Control", IEEE T-
CST, 5(2): 217-229, March 1997
[2] J. D. Boskovic and R. K. Mehra,
"Development of Intelligent Control
Algorithms and a Software Design Toolbox
for Autonomous Systems", Final Report,
DARPA Phase I SBIR, January 2000.
[3] J. D. Boskovic and R. K. Mehra, "A Robust
Adaptive Reconfigurable Flight Control
Scheme for Accommodation of Control
Effector Failures", (invited paper), 39th
IEEE Conference on Decision and Control,
Sidney, Australia, December 2000.
[4] J. D. Boskovic, M. Gopinathan and R.
K. Mehra, "Computer Aided Design of
Failure Detection and Identification (FDI)
and Adaptive Reconfigurable Control
(ARC) Systems for Aerospace
Applications", Proc. Conf. Control
Applications, Honolulu, Hawaii, August
1999.
[5] J. D. Boskovic, S.-M. Li and R. K. Mehra,
"Intelligent Control of Spacecraft in the
Presence of Actuator Failures", Proc. 38th
IEEE Conference on Decision and Control,
Phoenix, AZ, Dec. 1999.
[6] J.Brinker and K.Wise, "Reconfigurable
Flight Control of a Tailless Advanced
Fighter Aircraft", Proc. AIAA GNC,
Boston, MA, Aug. 1998..
Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50
www.ijera.com 50 | P a g e
[7] J. D. Boskovic and R. K. Mehra, "A Multiple
Model-based Reconfigurable Flight Control
System Design", Proc. 37th IEEE
Conference on Decision and Control,
Tampa, FL, December 1998.
[8] Kim, B.S. and Calise, A.J., "Nonlinear
Flight Control using Neural Networks",
Journal of Guidance,Control & Dynamics,
1997,20(1): 26-33
[9] J. D. Boskovic, S.-M. Li and R. K. Mehra,
"Research on system Identification for
Reconfigurable Flight Control System”,
Final Report, NASA Langley, December
1999.
[10] J.D. Boskovic, R.K. Mehra and K.S.
Narendra, "Adaptation and Learning for
Intelligent Control of Rapidly-Varying
Systems using Multiple Models, Switching
and Tuning", Final Report, Navy Phase I
STTR, Scientific Systems Company Inc,
Dec. 1998.

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An Overview of Adaptive Approaches in Flight Control

  • 1. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 45 | P a g e An Overview of Adaptive Approaches in Flight Control Y. Rajeshwari, V. Rajeswari Prof. & Head, ICE Dept. GNITS Engg.,College Assistant Professor,ICE Dept. GNITS.Engg., College Abstract Multi-mode switching between controllers corresponding to different modes of operation is needed in those cases when the transition from one mode to another results in substantial flight-critical variations in the aircraft dynamics. To address this problem, a general framework for multi-modal flight control is proposed. The framework is based on the Multiple Models, Switching and Tuning (MMST) methodology, combined with Model-Predictive Control (MPC), and the use of different robust mechanisms for switching between the multi-modal controllers. It was shown that many different switching control strategies can be naturally derived from the basic framework, which demonstrates the generality of the proposed approach. Key words: MMST, MPC, Mode prediction, Flight control, Switching, Optimization I. Introduction Multi-modal control can be broadly defined as a set of control strategies used to achieve the pre- specified objectives for a controlled vehicle in different modes of operation. Modes of operation are related to the vehicle dynamics and its environment. For instance, in the case of air vehicles, possible modes of operation include mission modes and internal and external modes. Those are described below. Mission Modes: During a mission, the vehicle goes through different modes of operation. For instance, during a strike mission an advanced combat aircraft goes through take-off, super-cruise, low- altitude ingress, target strike, air combat maneuvering, low altitude egress, powered approach, and landing.In general, in those modes, different control strategies are used to achieve the desired performance. In this context, the desired performance includes not only the requirement for accurate tracking of commanded signals, but also that of optimal guidance to assure low signature, optimum fuel consumption etc. One widely used strategy for air vehicles operating in different flight regimes is Gain Scheduling shown in Figure 1 closed-loop system. While this strategy has been widely used in practice, its main disadvantage is that the stability and robustness of the overall system is difficult to predict, particularly in the presence of unanticipated events such as disturbances, failures, battle damage, et cetera. Internal Modes: Common variations of the air vehicle dynamics during different segments of a mission are due to fuel consumption, store release, weight changes (in the case of air drops), usage of different engines (as in hypersonic vehicles), et cetera. During transitions between these modes either a sufficiently robust baseline control strategy or a gain-scheduled controller can be used. However, of particular importance in this context are failure modes since unexpected failures of flight-critical subsystems or components can lead to substantial performance degradation and even to the loss of the vehicle. Such failures include sensor, control effector, actuator and engine failures, and failures of avionics subsystems and the flight computer. While there are methods available for on- line Failure Detection and Identification (FDI) and Adaptive Reconfigurable Control (ARC) of advanced fighter aircraft [1,2,3], a comprehensive approach that can handle multiple simultaneous failures of flight-critical subsystems and components has not been developed yet. External Modes: can be described as those arising from unexpected variations in the environments encountered by the vehicle. These include: (i) Loss of communication with the command center or other team members; (ii) Very large external disturbances; (iii) Battle damage; and (iv) Sudden pop-up threats. In such cases, advanced identification, FDI-ARC, and estimation RESEARCH ARTICLE OPEN ACCESS
  • 2. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 46 | P a g e algorithms are needed to stabilize the vehicle and achieve at least some minimum tolerable performance. While some of the partial solutions to this problem are available [4,6,8], there is a need to develop a comprehensive Autonomous Intelligent Flight Control Systems (AI-FCS) that can achieve the desired objectives despite encountering unanticipated modes of operation. The design of such AI-FCSs is one of the key research areas in SSCI. Multi Modal Control Systems (MMCS) and AI- FCS should have a capability to handle efficiently mission modes under unexpected internal and external variations. This objective should be achievable with the available control authority, which emphasizes the importance of real-time Control Input Redundancy Management for on-line MMCS and AI-FCS. Basic elements of MMCS and AI-FCS include: • Redundancy management • Mode prediction • Disturbance estimation and rejection • Failure Detection and Identification (FDI) and Damage Detection and Identification (DDI) as a part of the Health Management System (HMS), • State estimation and filtering, and • Decision making subsystem(s). An AI-FCS under development by SSCI, is shown in Figure 2. Figure 2: Structure of the AI-FCS In this context, of particular importance is mode prediction, since, based on the models of the vehicle and its environment, the transitions between different modes can be predicted, and this information can be used to choose the best control strategy. Such a MMCS is shown in Figure 3. The overall AI-FCS should, hence, combine the following strategies: • MMST, where multiple observers can be used for specifying a number of different modes of operation related to failures, battle damage and the presence of large disturbances; • MPC that can be used for prediction of the modes of operation and for ARC in the presence of failures and uncertainties under different constraints; and • Multi-layer hierarchical control structure for specifying the links between the executable levels and decision-making subsystems. Model-Predictive Control (MPC) MPC is an optimal control approach involving direct use of both linear and nonlinear internal models of a plant and on-line optimization techniques to assure that the objective of tracking a desired trajectory is achieved under constraints on the control inputs, states and outputs. One of the most important aspects of the MPC is that it can explicitly account for both position and rate limits on the control effectors, which is a unique capability in comparison with other available control strategies. Other important aspects include the fact that the internal model of the MPC can be either linear or nonlinear, and that it can be identified and changed on-line for a fully adaptive MPC design. In addition, the MPC-based multiple model FDI-ARC schemes have been demonstrated as highly effective for achieving the control objectives in the presence of severe subsystem or component failures. Structure of an MPC scheme is shown in Figure 4. The internal model of the plant has the same input as the actual plant, and its output approximates the true output. The observer (predictor) predicts the future output of the plant T steps ahead based on the internal model, while, over the same prediction horizon 7, the reference model generates a trajectory that the future outputs should follow. The optimization technique commonly used in the context of MPC is a constrained Sequential Quadratic Programming (SQP) algorithm. It is
  • 3. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 47 | P a g e based on a quadratic cost functional J that depends on the values of the tracking error over the prediction horizon T, and on the control input values over the control horizon M. This cost functional is subject to the constraints on states, output and inputs. The MPC algorithm calculates an optimal sequence of control inputs by minimizing J over T, applies the first element of the input sequence to the plant, and repeats the procedure. The concept of MPC is shown in figure 5. Figure 5: Model Predictive Control Philosophy We will next discuss the applications of the MMST concept in the design of MMCS and AI- FCSs. Multiple Models, Switching, and Tuning (MMST) The concept of MMST has been extensively used by SSCI in the context of both aircraft and spacecraft control [5]—[10]. Its main advantages over single model-based adaptive controllers are summarized below: 1. The MMST-based schemes can achieve effective control reconfiguration and excellent overall performance even in the case of severe failures when single model adaptive controllers fail to achieve the objective. 2. MMST appears to be the only available approach that can be used to solve the problem of efficient adaptive control reconfiguration for TAFA in the presence of severe wing damage. 3. A particularly attractive feature of the MMST controllers is that they result in a stable overall system despite the presence of severe failures and wing damage. The basic comparison of the MMST controller with a single model adaptive controller is described in Figure 6. As shown in the figure, failure may cause the plant dynamics to switch abruptly from some nominal point Po in the parametric space, to the point P corresponding to the failed plant. The top figure illustrates the case when adaptation using a single model may be too slow to identify the new operating regime and reconfigure the controller. In such a case placing several models in the parametric set, switching to the model close to the dynamics of the failed plant, and adapting from there can result in fast and accurate control reconfiguration. The concept of MMST is based on the idea of describing the dynamics of the system using different models for different operating regimes; such models identify in some sense the current dynamics of the system and are consequently referred to as the identification models or observers. The basic idea is to set up such identification models (observers) and corresponding controllers in parallel, Figure 7, and to devise a suitable strategy for switching among the controllers to achieve the desired control objective. While the plant is being controlled using one of these controllers, the identification models are run in parallel to generate some measure of the corresponding identification errors and find a model which is, in some sense, closest to the current
  • 4. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 48 | P a g e operating regime of the plant. Once such a model is found, the switching mechanism switches to (or stays at) the corresponding controller assuring overall stability. In the context of reconfigurable control design in the presence of parametric uncertainties and/or sensor, actuator and structural failures, the identification models (observers) MIf...,MN from Figure 7 correspond to different regions in the parameter space characterizing different types of failures, while C/,...,C/v denote the corresponding controllers. Such an approach was used in [5,7,9,10] for adaptive reconfigurable control design, yielding excellent performance of the overall system in the presence of severe failures and battle damage. II. Design of Multi-Modal Algorithms using Combined Switching Controllers In general, the aircraft dynamics is characterized by transitions between different modes of operation. Such variation in the dynamics may be due to transitions between different flight regimes, or the effect of large external disturbances, or to subsystem and/or component failures. In such cases, different strategies for FDI-ARC and AI-FCS design are needed for different modes of operation. In this context, one viable approach is that based on MMST. To take into account different constraints, an adaptive MPC needs to be used within the multiple model framework. The emphasis of the overall design then needs to be on different performance specifications and different control strategies in different modes of operation, and a multi-modal approach to on-line control redesign for transition between different modes and control reconfiguration in the presence of failures. One of the related problems is the choice of the most suitable control strategies in different modes of operation. As it is well known, the Inverse Dynamics Control Law (IDCL) algorithm [23] is computationally simple and easy to implement. However, it does not take into account explicitly position and rate limits on the control effectors, which may cause unacceptable transients and even instability of the overall system. On the other hand, the MPC strategy takes these constraints into account but is computationally intensive. Hence a viable compromise is a control strategy that uses the IDCL as long as there is no rate or position limiting, and switches to the MPC when one or more inputs are about to saturate. The proposed scheme is shown in Fgure R. Such a scheme needs to be developed in the context of MMST to assure overall stability and robustness to uncertainties. An important aspect of such an approach is that even in the cases when the IDCL is used to control the aircraft, the MPC estimator is running an providing predicted values of the state of the system, which is an important information for higher decision-making levels. III. Parameter Estimation-Based Switching Control Another approach that appears well suited for the problem under consideration is that based on estimation-based switching among the controllers. This approach is motivated by our results obtain in [9], and is illustrated in Figure 9.
  • 5. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 49 | P a g e The basic idea is to use the on-line estimates of the aircraft parameters to decide which controller to choose in a particular flight regime or mode of operation. As seen in the Figure, if the plant dynamics abruptly switches from the point Po to point P in the parametric set, the estimate will moves through the parametric set trying to identify the model corresponding to the point P. The parametric set is divided into subsets so that each subset there is a corresponding controller Cj,...,C4 that achieves the objective for all values of parameters from the subset. As the estimate moves into a particular subset, the scheme switches to the corresponding controller. To prevent chattering, a hysteresis switching rule can be used. A particularly attractive feature of this approach is that it appears that the stability of the overall system can be explicitly proved, which is not the case with standard gain-scheduled controllers. Prediction-Based Switching Control An interesting observation in this context is that, conceptually, there is no difference between parameter estimation-based switching control and prediction-based switching control. In particular, let the plant go through transitions among different sets in the state space, where, for each set we have the corresponding controller Cj,...yCN. If the controller gains are changed based on the variation of some of the state variables, we have gain scheduling. If the gains are changed based on on-line parameter estimates, we have indirect adaptive control In the previous sections we discussed switching between different controllers based either on the control input or parameter estimates. Another promising strategy is that based on the predicted state of the system. In particular, we can run the MPC to arrive at the values of the state T steps ahead. If the predicted state moves to a different set in the state space, we can switch to the corresponding controller based on this prediction. IV. Conclusions In this paper we propose a general framework for multi-mode switching in flight control. From the flight control design point of view, multi-mode switching between controllers corresponding to different modes of operation is needed in those cases when the transition from one mode to another results in substantial flight-critical variations in the aircraft dynamics. To address this problem, a general framework for multi-modal flight control is proposed. The frame work is based on the Multiple Models Switching and Tuning (MMST) methodology, combined with Model-Predictive Control (MPC), and using different robust mechanisms for switching between the multi-modal controllers. It is shown that many different switching control strategies can be naturally derived from the basic framework, which demonstrates the generality of proposed approach. REFERENCES [1] M. Bodson and J. Groszkiewicz, "Multivariable Adaptive Algorithms for Reconfigurable Flight Control", IEEE T- CST, 5(2): 217-229, March 1997 [2] J. D. Boskovic and R. K. Mehra, "Development of Intelligent Control Algorithms and a Software Design Toolbox for Autonomous Systems", Final Report, DARPA Phase I SBIR, January 2000. [3] J. D. Boskovic and R. K. Mehra, "A Robust Adaptive Reconfigurable Flight Control Scheme for Accommodation of Control Effector Failures", (invited paper), 39th IEEE Conference on Decision and Control, Sidney, Australia, December 2000. [4] J. D. Boskovic, M. Gopinathan and R. K. Mehra, "Computer Aided Design of Failure Detection and Identification (FDI) and Adaptive Reconfigurable Control (ARC) Systems for Aerospace Applications", Proc. Conf. Control Applications, Honolulu, Hawaii, August 1999. [5] J. D. Boskovic, S.-M. Li and R. K. Mehra, "Intelligent Control of Spacecraft in the Presence of Actuator Failures", Proc. 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec. 1999. [6] J.Brinker and K.Wise, "Reconfigurable Flight Control of a Tailless Advanced Fighter Aircraft", Proc. AIAA GNC, Boston, MA, Aug. 1998..
  • 6. Y. Rajeshwari Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 5, Issue 1( Part 5), January 2015, pp.45-50 www.ijera.com 50 | P a g e [7] J. D. Boskovic and R. K. Mehra, "A Multiple Model-based Reconfigurable Flight Control System Design", Proc. 37th IEEE Conference on Decision and Control, Tampa, FL, December 1998. [8] Kim, B.S. and Calise, A.J., "Nonlinear Flight Control using Neural Networks", Journal of Guidance,Control & Dynamics, 1997,20(1): 26-33 [9] J. D. Boskovic, S.-M. Li and R. K. Mehra, "Research on system Identification for Reconfigurable Flight Control System”, Final Report, NASA Langley, December 1999. [10] J.D. Boskovic, R.K. Mehra and K.S. Narendra, "Adaptation and Learning for Intelligent Control of Rapidly-Varying Systems using Multiple Models, Switching and Tuning", Final Report, Navy Phase I STTR, Scientific Systems Company Inc, Dec. 1998.