Design and analysis of compensator

1. DESIGN AND ANALYSIS OF COMPENSATOR FOR MISSILE
CONTOROL SYSTEM
Presented by
THALLAPALLY RAKESH
10052274411
ME-DS
Under the guidance of
Asst prof. MD.MISBAHUDDIN
ECE Dept,
UCE(A),OU

2. LIST OF CONTENTS
 Aim of project
 Project objective
 Introduction
 Literature review
 Block diagram
 Road map of work done
 Conclusion
 Reference

3. AIM OF THE PROJECT
 Trajectory Control Achieve precise control over the missile's trajectory to meet mission
objectives. The compensator should enable the missile to follow a predetermined path accurately,
especially when it comes to hitting a specific target or avoiding obstacles.

4. PROJECT OBJECTIVE
 Analyse the dynamic behaviour of the missile and identify potential instabilities.
 Design a compensator to improve the overall stability of the missile flight control system.
 Optimize the compensator to enhance the performance of the missile, such as manoeuvrability, response time, and tracking
accuracy.
 Consider the specific requirements of the missile mission, such as interception, navigation, or target tracking.
 Develop a comprehensive mathematical model of the missile dynamics and the compensator system.
 Utilize simulation tools to assess the effectiveness of the compensator under various operating conditions and disturbances.

5. INTRODUCTION
 The design and analysis of control systems for missiles play a crucial role in ensuring precision, stability, and optimal
performance. The evolution of missile technology demands sophisticated control systems that can effectively navigate
through various operating conditions and disturbances.
 This research focuses on the Design and Analysis of Compensators for Missile Control Systems using MATLAB, a powerful
and widely adopted numerical computing environment. The primary objective is to explore the intricate dynamics of missile
systems and develop compensators that can address challenges such as disturbances, uncertainties, and nonlinearities,
ultimately ensuring precise and reliable control.
 The complexity of missile dynamics, coupled with the need for rapid response and accuracy, demands a comprehensive
approach to control system design. MATLAB provides an ideal platform for this endeavor, offering a diverse range of tools
for modeling, simulation, and analysis.
 The analysis phase will involve rigorous simulation studies, where the designed compensators will be subjected to different
scenarios and operating conditions to evaluate their robustness and performance.

6. WHAT IS A COMPENSATOR?
 A compensator is a device or component used to improve the performance or stability of the system. It is designed to
modify the input-output relationship of the system to achieve desired characteristics. Compensators are often used to
adjust the system's response, reduce errors, or enhance stability.
TYPES OF COMPENSATORS?
.LEAD COMPENSATOR
.LAG COMPENSATOR
.LEAD-LAG COMPENSATOR
.LAG-LEAD COMPENASTOR
.PID COMPENSATOR

7. WHY COMPENSATOR ?
Compensators are used in missile technology to enhance the performance and stability of the missile during its
flight. These devices help address various challenges that missiles face, such as aerodynamic disturbances,
external forces, and changes in the missile's dynamics. Some key reasons for using compensators in missile
technology include:
 Aerodynamic Control: Compensators are crucial for adjusting the missile's aerodynamic surfaces to maintain
stability and control during flight, especially in the presence of wind or other disturbances.
 Trajectory Correction: Compensators can be designed to correct the trajectory of the missile, ensuring that it
follows the intended path accurately. This is essential for achieving precise targeting and mission success.
 Dynamic Response: Compensators help in shaping the dynamic response of the missile, allowing engineers to
tailor its behavior to specific requirements. This is vital for achieving optimal performance under varying
conditions.
 Stability Enhancement: Compensators contribute to overall stability, preventing undesired oscillations or
deviations from the desired course. This is particularly important during the boost, mid-course, and terminal
phases of the missile's flight.
 Error Reduction: Compensators play a role in reducing errors that may arise due to external factors, ensuring
that the missile's guidance system can effectively counteract disturbances and maintain accuracy.

8. SIGNIFICANCE OF COMPENSATOR:
 The significance of compensators in the design and analysis of missile control systems cannot be overstated,
as they play a crucial role in ensuring the effectiveness, stability, and precision of these sophisticated
aerospace systems. Compensators are integral components of control systems designed to mitigate the effects
of disturbances, uncertainties, and nonlinearities, thereby enhancing the overall performance of missile
guidance and control. The following points highlight the significance of compensators in the context of
designing and analyzing missile control systems:
 Precision and Accuracy
 Stability and Robustness
 Dynamic Response Enhancement
 Disturbance Rejection
 Adaptability to Varying Conditions
 Versatile Design Approaches
 Simulation and Validation

9. LITERATURE REVIEW:
TITLE AUTHOR NAME YEAR REMARKS
Design Analysis of Phase Lead
Compensation for Typical Laser
Guided Missile Control System
Using MATLAB Bode Plots
Ronal S. Burns, Advanced
Control Engineering,
Butterworth- Hein Mann
2001 The comparison between
uncompensated and compensated
system has been discussed by
Nichols..
Time-Domain Design of Digital
Compensators for PWM DC-DC
Converter
Mor Mordechai Perutz,
Shmuel (Sam) Ben-Yaakov
2012 The system’s closed-loop response is
largely determined by the first few
samples of the step response of the
compensator.
Anti-windup Compensator
Synthesis for Cascaded Linear
Control System
Muntazir Hussain∗, Najam
us Saqib, Muhammad
Rehan and Muhammad
Siddique
2017 Based on this conjecture, many
templates can be fitted to
approximate the “ideal”
compensator

10. CIRCUIT DIAGRAM:
LEAD COMPENSATOR:
DEFINITION: A lead compensator is an
electrical circuit that when provided with a
sinusoidal input generates a sinusoidal signal
as output with a phase lead in comparison to
that of the applied sinusoidal signal. It is also
known as lead network.

11. OPERATION OF LEAD COMPENSATOR:
Phase Lead Compensator
 The purpose of phase lead compensator design in the frequency domain
generally is to satisfy specifications on steady-state accuracy and phase
margin.
 By introducing a lead compensator in a control system, the sinusoidal output
signal exhibits phase leading to that of the applied sinusoidal input.
 A lead network has a pole and a dominating zero. A dominating zero is
defined as the one which is nearest to the origin than all the other zeros. For
a lead network, the poles and zeros must be present on the negative real axis
of the s-plane.
BY USING VOLTAGE DIVIDE
FORMULA

12. Pole –Zero plot:
This signifies that the lead compensator has zero at s= -
1/T and pole at s = -1/αt
the value of α lies between 0 and 1 (generally taken as
0.5), thus zero will be present to the right of the pole.
The figure below represents the pole-zero plot

13. APPLICATIONS:
 Stability Improvement
 Transient Response Improvement
 Increased Bandwidth
 Error Reduction
 Robustness Enhancement
 Control of Underdamped Systems
 Aerospace Applications
 Electrical Motor Control

14. CONCLUSION
 The iterative process of designing and analyzing compensators involves a thorough understanding of the
missile's aerodynamics, propulsion, and control mechanisms. Engineers employ advanced control theory,
simulation tools, and optimization techniques to fine-tune the compensator parameters, ensuring optimal
performance under various operating conditions. The compensator acts as a critical link between the desired
trajectory and the actual behavior of the missile, contributing significantly to its mission success.

15. ROADMAP OF WORK DONE
LITERATURE
SURVEY
CONDUCTED
• INFORMATION GATHERED
• METHODS UNDERSTOOD
DESIGNING OF LEAD
COMPENSATOR
CIRCUIT
• HAVE TO BE COMPLETED
DESGNING
&ANALYSIS OF
PROPSED CIRCUIT
• HAVE TO BE COMPLETED

16. REFERENCES
 [1] Ronal S. Burns, Advanced Control Engineering, Butterworth- Hein Mann, 2001.
 [2] Franklin, G.F., Powell, J.D., Maeini, E., Feedback Control of Dynamics Systems, Addison-Wesley Publishing
Company. [3] Math Works, Introduction to MATLAB, the Math Works, Inc, 2001.
 [4] Katsuhiko Ogata, Modern Control Engineering, Prentice Hall, Upper Saddle River, NJ, 3rd edition,
1997.
 [5] G.J. Thaler, Automatic Control Systems, West, St. Paul, MN, 1989.
 [6] Richard C. Dorf, Robert H. Bishop, Modern Control Systems, Prentice Hall International, New
Jersey, 9th edition, 2001.
 [7] Benjamin C. Kuo, Automatic Controls Systems, Prentice Hall, Englewood Cliffs, NJ, 7th edition,
1995.
 [8] Dvorato P., Abdallah, "Advances in Undergraduate Control Education: The Analytical Design Approach",
Proceedings of the American Control Conference, pp. 470- 474, June, 1999, San Diego
 [9] C .L. Phillips and R . D. Harbor , Feedback Control Systems, Prentice Hall, Upper Saddle river, NJ
,4thedition,2000