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Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62
www.ijera.com 58|P a g e
Design of Industrial Electro-Hydraulic Valves, New Approach
Dr. Ibrahem Farhan Salman Alrefo
Al Balqa Applied University, Ma’an University College
ABSTRACT
A fully flexible valve actuation systems are being under consideration as an enabling technology for advanced
internal combustion engine concepts. Electro-hydraulic valve actuator systems are being considered as a
dominating variable valve technology. Compared to the servo control system, the system using a proportional
valve has the advantages of low price, high anti-pollution ability and high reliability. Unlike existing
electromechanical or servo actuated electro-hydraulic valve actuation systems, precise valve motion control is
achieved with an internal feedback mechanism. This feedback mechanism can be turned on or off in real-time
using simple two state valves which helps reduce the system cost and enables mass production.
Keywords: Electro-hydraulic, Valve. Dynamic characteristics, Control, Engine
I. INTRODUCTION
In Practice the design, manufacture and
application of electro-hydraulic control valves
embraces many disciplines such as :
 Materials selection, new materials
 Fluid mechanics, wear and lubrication,
alternative fluids
 Thermodynamics
 Energy efficiency
 Vibration & noise analysis
 Components & system steady state & dynamic
design
 Sensors and electromagnetic technologies
 Signal processing and associated algorithms
 Computer control techniques
Figure (1) shows a basic directional
control valve which is really an on-off valve for
selecting flow rate direction. Applying a voltage,
either ac or dc, to one of the solenoids crates an
electromagnetic force that throws the spool to the
end of its stroke thus opening the appropriate flow
ports. Usually with no solenoid actuation the spool
returns to its central position. The spool ports can
have variety of configurations depending upon the
requirements, and this type of valve is the
backbone of many industrial applications requiring
sequence-type operations.
Figure (1) A directional control valve with solenoid actuation
The application of increasing voltage to
the solenoid produces an electromagnetic force
that attempts to move its poppet to the left thus
increasing the resistance to flow through the
restrictor and hence the pressure at the valve
[Watton 2016],
It has been shown that a flexible air
handling system with the capability of varying the
valve lift , timing, duration or a combination of
these parameters can offer significant
improvements in the performance and efficiency
over a wide range of operating conditions [Turner
2004].
For any system intended to be mass
produced, it is required to have the following
characteristics:
 Flexibility in lift, timing and duration
 Low valve seating velocities
 Low power consumption
 A feedback system with simple and
inexpensive components that require minimum
calibration while being capable of precise
valve motion control.
RESEARCH ARTICLE OPEN ACCESS
Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62
www.ijera.com 59|P a g e
 Subsystems which can be packaged compactly
and efficiently [Pradeep 2009]
II. LITERATURE SURVEY
The electro-hydraulic valve actuator was
studied in Stanford University already in the
beginning of the 1980s [Richman 1984], when one
of the first publications of this kind of device was
produced, and a test rig was manufactured. In 2008,
Liao et al.(Stanford university) published
“Repetitive Control of an Electro-Hydraulic Engine
Valve Actuation” based on simulation in which
they presented a framework covering system
identification, feedback controller design and a
feed forward repetitive controller [Liao 2008].
Increased efficiency, reduced emissions,
and improved power over existing internal
combustion engines are the three primary
objectives of the research currently underway at the
University of South Carolina. The research focuses
on the development of a camless engine and
addresses several of the design imitations of earlier
camless attempts. One of their first publications
dealing with camless engines is from 2001: John
Brader’s thesis “Development of a Piezoelectric
Controlled Hydraulic Actuator for a Camless
Engine”. The University of California has been
studying electrohydraulic camless valve trains
since the 1990s and has established cooperation
with the Ford Motor Company. In 2000, they
introduced different control methods for the
electrohydraulic valve train by means of
simulations [Ashhab2000a], [Ashhab 2000b], and
test rig tests were performed by Tai et al. [Tai
2000].
The Department of Mechanical
Engineering at the University of Minnesota
includes the Center for Diesel Research. Zongxuan
Sun is one of the assistant professors and his recent
research work includes novel time-varying control
methodologies for rotational-angle based systems,
developing key enabling technologies for clean,
efficient and multi-fuel capable automotive power
train, such as camless engine, precise pressure
regulation for common-rail systems, modeling and
control of efficient transmission systems, and
various advanced hybrid concepts. In 2009, he
published a journal paper on electrohydraulic fully
flexible valve actuation. The paper presents an
electrohydraulic valve actuation concept with an
internal feedback mechanism. Key technical issues,
such as dynamic range capability, seating velocity
and closing timing repeatability, area schedule,
internal feedback spool dynamics, and energy
consumption, are modeled and analyzed. A test rig
was also manufactured. [Sun 2009],[Heinzen
2011].
III. SYSTEM DESIGN
The block diagram of the proposed valve
actuation system is shown in figure (2)
Figure (2) The Proposed System
It is a modification of the system used by
[pradeep 2009] , so we used some of the equations
mentioned in that reference.
IV. MATHEMATICAL MODEL OF
THE SYSTEM
The dynamic of the feedback system
depend on number of parameters like the physical
dimension of each component, the stiffness of the
various springs and the timing of on-off of the
valves etc. It is therefore necessary that we have an
accurate mathematical model of the system, which
will help to evaluate the effects of various
parameters and verify any new model that
proposed. The valve operates at 50Hz when the
engine is running at 7000 RPM. For modeling the
Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62
www.ijera.com 60|P a g e
pressure variations, the effect of fluid
compressibility needs to be considered since it
becomes prominent at such high frequencies. The
dynamics of the actuator, spool and pressures in the
various chambers are described as follows.
where, Xact and Vact are the position and
velocity of the actuator, Mact is the moving mass of
the actuator and the engine valve assembly, Pa is
the pressure in the actuation chamber, Aa is the area
of the actuator’s piston, Pact1 , Pact2 are the
pressures in the actuator’s top and bottom feedback
chambers, Aact1 and Aact2 are the areas of the
actuator’s top and bottom feedback chambers, Kact
is the stiffness of the actuator spring, Fpreload is the
spring preload and bact is the damping coefficient
of the actuator.
where, Xspool and Vspool are the position and
velocity of the spool, Mspool is the mass of the
spool, PIFS1 and PIFS2 are the pressures in the spool
valve’s top and bottom feedback chambers, AIFS1
and AIFS2 are the areas of the feedback regulator’s
top and bottom feedback chambers, KIFS1 and KIFS2
are the stiffness’s of the IFS springs and bIFS is the
damping coefficient of the IFS.
where, β is the bulk modulus of the
hydraulic fluid and x_act , x_act1, x_act2, x_spool1 and
x_s pool2 are the clearances in each of the
corresponding chambers when the engine valve is
in the closed position and the spool in the center
position.. The flow rates are calculated using the
orifice equation.
Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62
www.ijera.com 61|P a g e
where, A is the associated orifice area
between the chambers, Cd is the discharge
coefficient, r is the density of the fluid, P1 and P2
are the upstream and downstream pressures. In the
case of Qa, the orifice area Aspool is a function of the
displacement of the spool Xspool . This relation Aspool
= f (Xspool) is called the area-schedule. In the case of
Qono f f1 and Qono f f2 , the corresponding orifice areas
Aono f f1 and Aono f f2 are set to either 0 or maximum
depending on the state of the particular on-off
valve. The lift of the engine valve is controlled by
varying the timing of the bottom on-off valve.
Simulations are performed by activating the IFS
when the engine valve reaches 6 mm, 7 mm and 8
mm which controls the lift of the engine valve to 8
mm, 9 mm and 10 mm accordingly. The results of
these simulations are shown in Fig. 3(a). For valve
closing, activating the top on-off valve when the
engine valve reaches 2 mm, decelerates the engine
valve and ensures that the valve seating velocity is
minimized. Fig. 3(b) shows the velocity of the
valve corresponding to the 10mm lift case. The
position and velocity traces agree closely with the
results obtained from AMEsim (a physics based
multi-disciplinary modeling & simulation package)
model simulation in [Z Sun 2009].
Figure (3) Comparison between reduced order model and full order model (a) Actuator position; (b) Actuator
velocity
Test: of three different valves
Figure (4) shows measurements taken on
three commercial PRVs. For the first valve the
pressure/voltage relationship is highly non-linear at
low pressures, and with poor hysteresis
characteristics. Hysteresis is dominated by the
electromagnetic components of the valve such that
if the applied voltage direction is changed then the
pressure does not immediately respond until a
small voltage threshold change has occurred. The
second valve shows a much better characteristics
with a much reduced hysteresis characteristics. The
third valve shows also a very poor characteristics
due to the hysteresis.
These characteristics do show the
importance of understanding the application
performance required and then selecting the correct
proportional pressure relief valve. However, a poor
hysteresis characteristic may well be acceptable for
particular application.
Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com
ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62
www.ijera.com 62|P a g e
Figure (4) Test of three different valves
V. CONCLUSIONS
This paper presents a new approach
towards a model based control design of a new
engine valve actuation system. The nonlinear
feedback control is built into the design of the
system which greatly simplifies the external control
and reduces the calibration effort required for the
system. To improve the performance and simplicity
of the system, a critical control parameter is
determined and its design is formulated as a
problem to be optimized. The dimensions of the
valve became an obstacle that we had to solve, and
so we proposed and calculated a numerical solution
based on a reduced order model.. To check the
effectiveness of the obtained designs is verified
using simulations. The most important issues
associated with the design based on the reduced
order model results into the development of a
computationally feasible method for solving the
higher order optimization problem.
REFERENCES
[1]. [Liao 2008] Liao, H., Roelle, M.,
Gerdes, C. 2008. “Repetitive Control of
an Electro-Hydraulic Engine Valve
Actuation System”. 2008 American
Control Conference. June 11-13 2008.
Washington, USA. pp.975-980.
[2]. [Ashhab 2000a] Ashhab, M.-S,
Stefanopoulou, A., Cook, J., Levin, M.
2000. “Control-Oriented Model for
Camless Intake Process-Part 1”.
Transactions of ASME Journal of
Dynamic Systems, Measurement, and
Control. Vol. 122 March 2000.
[3]. [Ashhab 2000b] Ashhab, M.-S,
Stefanopoulou, A., Cook, J., Levin, M.
2000. “Control of Camless Intake Process
– Part II”. Transactions of ASME Journal
of Dynamic Systems, Measurement, and
Control. Vol. 122 March 2000.
[4]. [Tai 2000] Tai, C., Tsao, T.-S. 2000.
“Adaptive Nonlinear Feed forward
Control of an Electrohydraulic Camless
Valvetrain”. Proceedings of a American
Control Conference AACC June 2000.
[5]. [Turner 2004] Turner et. al “New
Operating Strategies Afforded by Fully
Variable Valve Trains”, SAE Technical
Paper 2004-01-1386.
[6]. [Sun 2009] Sun, Z. 2009.
“Electrohydraulic Fully Flexible Valve
Actuation System with Internal
Feedback”. Journal of Dynamic Systems,
Measurement, and Control, March 2009,
Vol. 131
[7]. [Heinzen 2011] Heinzen, A. 2011.
“Iterative Learning Control of a Fully
Flexible Valve Actuation System for Non-
throttled Engine Load Control”. Master of
Science Thesis, University of Minnesota,
May 2011, USA.
[8]. [Liu 2009]Liu, J.-., Jin, B., Xie, Y.-. et
al. Research on the electro-hydraulic
variable valve actuation system based on a
three-way proportional reducing valve .
(2009) 10: 27. doi:10.1007/s12239-009-
0004-6, International Journal of
Automotive Technology, ISSN: 1229-
9138 (print version)
[9]. [Wong 2008]Wong, P. K., Tam, L. M.
and Li, K. (2008). Modeling and
simulation of a dual-mode
electrohydraulic fully variable valve train
for four-stroke engines. Int. J.
Automotive Technology , 509–521
[10]. [Watton 2016] John Watton, Electro-
Hydraulic Control Systems, Book boon
.com, 2016, ISBN 978-87-403-1187-7.
[11]. [Pradeep 2009] Pradeep G & Z Sun,
“Modeling and Control Design of a
Camless Valve Actuation System”, The
American Control Conference 2009, St.
Louis, MO, USA, June 10-12- 2009.
[12]. [Z Sun 2009] Z. Sun, “Electrohydraulic
Fully Flexible Valve Actuation System
with Internal Feedback”, ASME Journal of
Dynamic Systems, Measurement and
Control, Vol 131, 024502. 2009.

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Design of Industrial Electro-Hydraulic Valves, New Approach

  • 1. Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62 www.ijera.com 58|P a g e Design of Industrial Electro-Hydraulic Valves, New Approach Dr. Ibrahem Farhan Salman Alrefo Al Balqa Applied University, Ma’an University College ABSTRACT A fully flexible valve actuation systems are being under consideration as an enabling technology for advanced internal combustion engine concepts. Electro-hydraulic valve actuator systems are being considered as a dominating variable valve technology. Compared to the servo control system, the system using a proportional valve has the advantages of low price, high anti-pollution ability and high reliability. Unlike existing electromechanical or servo actuated electro-hydraulic valve actuation systems, precise valve motion control is achieved with an internal feedback mechanism. This feedback mechanism can be turned on or off in real-time using simple two state valves which helps reduce the system cost and enables mass production. Keywords: Electro-hydraulic, Valve. Dynamic characteristics, Control, Engine I. INTRODUCTION In Practice the design, manufacture and application of electro-hydraulic control valves embraces many disciplines such as :  Materials selection, new materials  Fluid mechanics, wear and lubrication, alternative fluids  Thermodynamics  Energy efficiency  Vibration & noise analysis  Components & system steady state & dynamic design  Sensors and electromagnetic technologies  Signal processing and associated algorithms  Computer control techniques Figure (1) shows a basic directional control valve which is really an on-off valve for selecting flow rate direction. Applying a voltage, either ac or dc, to one of the solenoids crates an electromagnetic force that throws the spool to the end of its stroke thus opening the appropriate flow ports. Usually with no solenoid actuation the spool returns to its central position. The spool ports can have variety of configurations depending upon the requirements, and this type of valve is the backbone of many industrial applications requiring sequence-type operations. Figure (1) A directional control valve with solenoid actuation The application of increasing voltage to the solenoid produces an electromagnetic force that attempts to move its poppet to the left thus increasing the resistance to flow through the restrictor and hence the pressure at the valve [Watton 2016], It has been shown that a flexible air handling system with the capability of varying the valve lift , timing, duration or a combination of these parameters can offer significant improvements in the performance and efficiency over a wide range of operating conditions [Turner 2004]. For any system intended to be mass produced, it is required to have the following characteristics:  Flexibility in lift, timing and duration  Low valve seating velocities  Low power consumption  A feedback system with simple and inexpensive components that require minimum calibration while being capable of precise valve motion control. RESEARCH ARTICLE OPEN ACCESS
  • 2. Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62 www.ijera.com 59|P a g e  Subsystems which can be packaged compactly and efficiently [Pradeep 2009] II. LITERATURE SURVEY The electro-hydraulic valve actuator was studied in Stanford University already in the beginning of the 1980s [Richman 1984], when one of the first publications of this kind of device was produced, and a test rig was manufactured. In 2008, Liao et al.(Stanford university) published “Repetitive Control of an Electro-Hydraulic Engine Valve Actuation” based on simulation in which they presented a framework covering system identification, feedback controller design and a feed forward repetitive controller [Liao 2008]. Increased efficiency, reduced emissions, and improved power over existing internal combustion engines are the three primary objectives of the research currently underway at the University of South Carolina. The research focuses on the development of a camless engine and addresses several of the design imitations of earlier camless attempts. One of their first publications dealing with camless engines is from 2001: John Brader’s thesis “Development of a Piezoelectric Controlled Hydraulic Actuator for a Camless Engine”. The University of California has been studying electrohydraulic camless valve trains since the 1990s and has established cooperation with the Ford Motor Company. In 2000, they introduced different control methods for the electrohydraulic valve train by means of simulations [Ashhab2000a], [Ashhab 2000b], and test rig tests were performed by Tai et al. [Tai 2000]. The Department of Mechanical Engineering at the University of Minnesota includes the Center for Diesel Research. Zongxuan Sun is one of the assistant professors and his recent research work includes novel time-varying control methodologies for rotational-angle based systems, developing key enabling technologies for clean, efficient and multi-fuel capable automotive power train, such as camless engine, precise pressure regulation for common-rail systems, modeling and control of efficient transmission systems, and various advanced hybrid concepts. In 2009, he published a journal paper on electrohydraulic fully flexible valve actuation. The paper presents an electrohydraulic valve actuation concept with an internal feedback mechanism. Key technical issues, such as dynamic range capability, seating velocity and closing timing repeatability, area schedule, internal feedback spool dynamics, and energy consumption, are modeled and analyzed. A test rig was also manufactured. [Sun 2009],[Heinzen 2011]. III. SYSTEM DESIGN The block diagram of the proposed valve actuation system is shown in figure (2) Figure (2) The Proposed System It is a modification of the system used by [pradeep 2009] , so we used some of the equations mentioned in that reference. IV. MATHEMATICAL MODEL OF THE SYSTEM The dynamic of the feedback system depend on number of parameters like the physical dimension of each component, the stiffness of the various springs and the timing of on-off of the valves etc. It is therefore necessary that we have an accurate mathematical model of the system, which will help to evaluate the effects of various parameters and verify any new model that proposed. The valve operates at 50Hz when the engine is running at 7000 RPM. For modeling the
  • 3. Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62 www.ijera.com 60|P a g e pressure variations, the effect of fluid compressibility needs to be considered since it becomes prominent at such high frequencies. The dynamics of the actuator, spool and pressures in the various chambers are described as follows. where, Xact and Vact are the position and velocity of the actuator, Mact is the moving mass of the actuator and the engine valve assembly, Pa is the pressure in the actuation chamber, Aa is the area of the actuator’s piston, Pact1 , Pact2 are the pressures in the actuator’s top and bottom feedback chambers, Aact1 and Aact2 are the areas of the actuator’s top and bottom feedback chambers, Kact is the stiffness of the actuator spring, Fpreload is the spring preload and bact is the damping coefficient of the actuator. where, Xspool and Vspool are the position and velocity of the spool, Mspool is the mass of the spool, PIFS1 and PIFS2 are the pressures in the spool valve’s top and bottom feedback chambers, AIFS1 and AIFS2 are the areas of the feedback regulator’s top and bottom feedback chambers, KIFS1 and KIFS2 are the stiffness’s of the IFS springs and bIFS is the damping coefficient of the IFS. where, β is the bulk modulus of the hydraulic fluid and x_act , x_act1, x_act2, x_spool1 and x_s pool2 are the clearances in each of the corresponding chambers when the engine valve is in the closed position and the spool in the center position.. The flow rates are calculated using the orifice equation.
  • 4. Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62 www.ijera.com 61|P a g e where, A is the associated orifice area between the chambers, Cd is the discharge coefficient, r is the density of the fluid, P1 and P2 are the upstream and downstream pressures. In the case of Qa, the orifice area Aspool is a function of the displacement of the spool Xspool . This relation Aspool = f (Xspool) is called the area-schedule. In the case of Qono f f1 and Qono f f2 , the corresponding orifice areas Aono f f1 and Aono f f2 are set to either 0 or maximum depending on the state of the particular on-off valve. The lift of the engine valve is controlled by varying the timing of the bottom on-off valve. Simulations are performed by activating the IFS when the engine valve reaches 6 mm, 7 mm and 8 mm which controls the lift of the engine valve to 8 mm, 9 mm and 10 mm accordingly. The results of these simulations are shown in Fig. 3(a). For valve closing, activating the top on-off valve when the engine valve reaches 2 mm, decelerates the engine valve and ensures that the valve seating velocity is minimized. Fig. 3(b) shows the velocity of the valve corresponding to the 10mm lift case. The position and velocity traces agree closely with the results obtained from AMEsim (a physics based multi-disciplinary modeling & simulation package) model simulation in [Z Sun 2009]. Figure (3) Comparison between reduced order model and full order model (a) Actuator position; (b) Actuator velocity Test: of three different valves Figure (4) shows measurements taken on three commercial PRVs. For the first valve the pressure/voltage relationship is highly non-linear at low pressures, and with poor hysteresis characteristics. Hysteresis is dominated by the electromagnetic components of the valve such that if the applied voltage direction is changed then the pressure does not immediately respond until a small voltage threshold change has occurred. The second valve shows a much better characteristics with a much reduced hysteresis characteristics. The third valve shows also a very poor characteristics due to the hysteresis. These characteristics do show the importance of understanding the application performance required and then selecting the correct proportional pressure relief valve. However, a poor hysteresis characteristic may well be acceptable for particular application.
  • 5. Dr. Ibrahem Farhan Salman Alrefo.Int. Journal of Engineering Research and Application www.ijera.com ISSN : 2248-9622, Vol. 6, Issue 9,(Part-5) Sepember.2016, pp.58-62 www.ijera.com 62|P a g e Figure (4) Test of three different valves V. CONCLUSIONS This paper presents a new approach towards a model based control design of a new engine valve actuation system. The nonlinear feedback control is built into the design of the system which greatly simplifies the external control and reduces the calibration effort required for the system. To improve the performance and simplicity of the system, a critical control parameter is determined and its design is formulated as a problem to be optimized. The dimensions of the valve became an obstacle that we had to solve, and so we proposed and calculated a numerical solution based on a reduced order model.. To check the effectiveness of the obtained designs is verified using simulations. The most important issues associated with the design based on the reduced order model results into the development of a computationally feasible method for solving the higher order optimization problem. REFERENCES [1]. [Liao 2008] Liao, H., Roelle, M., Gerdes, C. 2008. “Repetitive Control of an Electro-Hydraulic Engine Valve Actuation System”. 2008 American Control Conference. June 11-13 2008. Washington, USA. pp.975-980. [2]. [Ashhab 2000a] Ashhab, M.-S, Stefanopoulou, A., Cook, J., Levin, M. 2000. “Control-Oriented Model for Camless Intake Process-Part 1”. Transactions of ASME Journal of Dynamic Systems, Measurement, and Control. Vol. 122 March 2000. [3]. [Ashhab 2000b] Ashhab, M.-S, Stefanopoulou, A., Cook, J., Levin, M. 2000. “Control of Camless Intake Process – Part II”. Transactions of ASME Journal of Dynamic Systems, Measurement, and Control. Vol. 122 March 2000. [4]. [Tai 2000] Tai, C., Tsao, T.-S. 2000. “Adaptive Nonlinear Feed forward Control of an Electrohydraulic Camless Valvetrain”. Proceedings of a American Control Conference AACC June 2000. [5]. [Turner 2004] Turner et. al “New Operating Strategies Afforded by Fully Variable Valve Trains”, SAE Technical Paper 2004-01-1386. [6]. [Sun 2009] Sun, Z. 2009. “Electrohydraulic Fully Flexible Valve Actuation System with Internal Feedback”. Journal of Dynamic Systems, Measurement, and Control, March 2009, Vol. 131 [7]. [Heinzen 2011] Heinzen, A. 2011. “Iterative Learning Control of a Fully Flexible Valve Actuation System for Non- throttled Engine Load Control”. Master of Science Thesis, University of Minnesota, May 2011, USA. [8]. [Liu 2009]Liu, J.-., Jin, B., Xie, Y.-. et al. Research on the electro-hydraulic variable valve actuation system based on a three-way proportional reducing valve . (2009) 10: 27. doi:10.1007/s12239-009- 0004-6, International Journal of Automotive Technology, ISSN: 1229- 9138 (print version) [9]. [Wong 2008]Wong, P. K., Tam, L. M. and Li, K. (2008). Modeling and simulation of a dual-mode electrohydraulic fully variable valve train for four-stroke engines. Int. J. Automotive Technology , 509–521 [10]. [Watton 2016] John Watton, Electro- Hydraulic Control Systems, Book boon .com, 2016, ISBN 978-87-403-1187-7. [11]. [Pradeep 2009] Pradeep G & Z Sun, “Modeling and Control Design of a Camless Valve Actuation System”, The American Control Conference 2009, St. Louis, MO, USA, June 10-12- 2009. [12]. [Z Sun 2009] Z. Sun, “Electrohydraulic Fully Flexible Valve Actuation System with Internal Feedback”, ASME Journal of Dynamic Systems, Measurement and Control, Vol 131, 024502. 2009.