Research Papers

A New Model-Based Control Structure for Position Tracking in an Electro-Hydraulic Servo System With Acceleration Constraint

[+] Author and Article Information
Soheil Rezayi

Applied Mechanical Design
Engineering Department,
Faculty of Mechanical Engineering,
Shahid Rajaee Teacher Training University,
Shabanloo Street, Emam Ali Highway, Lavizan, Mail Box: 16785-136,
Tehran 1678815811, Iran
e-mail: rezayi.soheil@gmail.com

Mohammadreza Arbabtafti

Applied Mechanical Design
Engineering Department,
Faculty of Mechanical Engineering,
Shahid Rajaee Teacher Training University,
Shabanloo Street, Emam Ali Highway, Lavizan, Mail Box: 16785-136,
Tehran 1678815811, Iran
e-mail: arbabtafti@srttu.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 16, 2016; final manuscript received May 10, 2017; published online August 10, 2017. Assoc. Editor: Evangelos Papadopoulos.

J. Dyn. Sys., Meas., Control 139(12), 121006 (Aug 10, 2017) (11 pages) Paper No: DS-16-1560; doi: 10.1115/1.4036878 History: Received November 16, 2016; Revised May 10, 2017

A new variable structure control strategy consists of two separate sliding mode controllers (SMCs) with a switching mechanism designed to address position tracking problem of electro-hydraulic servo systems (EHS) with acceleration constraint, which can be found in numerous mechatronics and industrial control system applications. Examples include fatigue testing systems, plate hot rolling systems, injection molding machines, hydraulic elevators, and robotic arms. In this paper, first, a complete model of an electro-hydraulic system is proposed in which detailed mathematical descriptions for all elements are included. Not only is a more accurate model capable of providing a fertile ground for simulation studies but also it could contribute toward better results in the control approach. Furthermore, based on the variable dynamic behavior of EHS in forward and return motions, two separate SMCs synchronizing with a switching mechanism are applied. This novel approach calculates two separate control input in each instance for each dynamic behavior of the system and the switching mechanism decides which one should utilize. It is shown that the proposed control method, despite model uncertainties and external disturbances, tracks the reference position with error in scale of 10−3, and its remarkable accuracy in tracking trajectories with acceleration constraint, which has a great deal of importance in the sense of many industrial applications, is proved.

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Jelali, M. , and Kroll, A. , 2003, Hydraulic Servo-Systems Modelling, Identification and Control, Springer-Verlag, London.
Merrit, H. E. , 1967, Hydraulic Control System, Wiley, New York.
Wu, M. C. , and Shih, M. C. , 2003, “ Simulated and Experimental Study of Hydraulic Anti-Lock Braking System Using Sliding-Mode PWM Control,” Mechatronics, 13(4), pp. 331–351. [CrossRef]
Rena, Y. , and Ruan, J. , 2016, “ Theoretical and Experimental Investigations of Vibration Waveforms Excited by an Electro-Hydraulic Type Exciter for Fatigue With a Two-Dimensional Rotary Valve,” Mechatronics, 33, pp. 161–172. [CrossRef]
Songshan, H. , Zongxia, J. , Chengwen, W. , and Yaoxing, S. , 2015, “ Fuzzy Robust Nonlinear Control Approach for Electro-Hydraulic Flight Motion Simulator,” Chin. J. Aeronaut., 28(1), pp. 294–304. [CrossRef]
Kim, M. Y. , and Lee, C.-O. , 2006, “ An Experimental Study on the Optimization of Controller Gains for an Electro-Hydraulic Servo System Using Evolution Strategies,” Control Eng. Pract., 14(2), pp. 137–147. [CrossRef]
Chiang, M.-H. , Chen, C.-C. , and Jeffrey Kuo, C.-F. , 2009, “ The High Response and High Efficiency Velocity Control of a Hydraulic Injection Molding Machine Using a Variable Rotational Speed Electro-Hydraulic Pump-Controlled System,” Int. J. Adv. Manuf. Technol., 43(9), pp. 841–851. [CrossRef]
Daohang, S. , Vladimir, B. B. , and Huayong, Y. , 2002, “ New Model and Sliding Mode Control of Hydraulic Elevator Velocity Tracking System,” Simul. Pract. Theory, 9(6–8), pp. 365–385.
Alleyne, A. , and Hedrick, J. K. , 1995, “ Nonlinear Adaptive Control of Active Suspensions,” IEEE Trans. Control Syst. Technol., 3(1), pp. 94–101. [CrossRef]
Raade, J. W. , and Kazerooni, H. , 2005, “ Analysis and Design of a Novel Hydraulic Power Source for Mobile Robots,” IEEE Trans. Autom. Sci. Eng., 2(3), pp. 226–232. [CrossRef]
Sirouspour, M. R. , and Salcudean, S. E. , 2001, “ Nonlinear Control of Hydraulic Robots,” IEEE Trans. Rob. Autom., 17(2), pp. 173–182. [CrossRef]
Li, G. , and Khajepour, A. , 2005, “ Robust Control of a Hydraulically Driven Flexible Arm Using Backstepping Technique,” J. Sound Vib., 280(3–5), pp. 759–775. [CrossRef]
Davliakos, I. , and Papadopoulos, E. , 2009, “ Impedance Model-Based Control for an Electrohydraulic Stewart Platform,” Eur. J. Control, 15(5), pp. 560–577. [CrossRef]
Plummer, A. R. , and Vaughan, N. D. , 1996, “ Robust Adaptive Control for Hydraulic Servosystems,” ASME J. Dyn. Syst. Meas. Control, 118(2), pp. 237–244. [CrossRef]
Yun, I. S. , and Cho, H. S. , 1988, “ Adaptive Model Following Control of Electrohydraulic Velocity Control System,” Proc. Inst. Electr. Eng., 135(2), pp. 149–156.
Li, D. , and Salcudean, S. E. , 1997, “ Modeling, Simulation, and Control of a Hydraulic Stewart Platform,” IEEE International Conference on Robotics and Automation (ICRA), Albuquerque, NM, Apr. 20–25, pp. 3360–3366.
Bobrow, J. E. , and Lum, K. , 1996, “ Adaptive, High Bandwidth Control of a Hydraulic Actuator,” ASME J. Dyn. Syst. Meas. Control, 118(4), pp. 714–720. [CrossRef]
Mare, J.-C. , 2006, “ Dynamic Loading Systems for Ground Testing of High Speed Aerospace Actuators,” Aircr. Eng. Aerosp. Technol., 78(4), pp. 275–282. [CrossRef]
Plummer, A. R. , 2007, “ Robust Electrohydraulic Force Control,” Proc. Inst. Mech. Eng., Part I, 221(4), pp. 717–731.
Jacazio, G. , and Balossini, G. , 2007, “ Real-Time Loading Actuator Control for an Advanced Aerospace Test Rig,” Proc. Inst. Mech. Eng., Part I, 221(2), pp. 199–210.
Vossoughi, R. , and Donath, M. , 1995, “ Dynamic Feedback Linearization for Electro-Hydraulically Actuated Control Systems,” ASME J. Dyn. Syst. Meas. Control, 117(4), pp. 468–477. [CrossRef]
Re, L. D. , and Isidori, A. , 1995, “ Performance Enhancement of Nonlinear Drives by Feedback Linearization of Linear-Bilinear Cascade Models,” IEEE Trans. Control Syst. Technol., 3(3), pp. 299–308. [CrossRef]
Shol, G. A. , and Bobrow, J. E. , 1999, “ Experimental and Simulations on the Nonlinear Control of a Hydraulic Servo System,” IEEE Trans. Control Syst. Technol., 7(1), pp. 238–247. [CrossRef]
Seo, J. , Venugopal, R. , and Kenne, J.-P. , 2007, “ Feedback Linearization Based Control of a Rotational Hydraulic Drive,” Control Eng. Pract., 15(12), pp. 1495–1507. [CrossRef]
Liu, Y. , and Handroos, H. , 1999, “ Technical Note Sliding Mode Control for a Class of Hydraulic Position Servo,” Mechatronics, 9(1), pp. 111–123. [CrossRef]
Hong, L. , Kil, T. C. , Tae, S. N. , and Yeong, Y. S. , 2003, “ Vehicle Longitudinal Brake Control Using Variable Parameter Sliding Control,” Control Eng. Pract., 11(4), pp. 403–411. [CrossRef]
Bonchis, A. , Corke, P. I. , Rye, D. C. , and Ha, Q. P. , 2001, “ Variable Structure Methods in Hydraulic Servo Systems Control,” Automatica, 37(4), pp. 589–595. [CrossRef]
Zhang, H. , Liu, X. , Wang, J. , and Karimi, H. R. , 2014, “ Robust H Sliding Mode Control With Pole Placement for a Fluid Power Electrohydraulic Actuator (EHA) System,” Int. J. Adv. Manuf. Technol., 73(5), pp. 1095–1104. [CrossRef]
Slotine, J.-J. E. , 1984, “ Sliding Controller Design for Non-Linear Systems,” Int. J. Control, 40(2), pp. 421–434. [CrossRef]
Hung, J. Y. , Gao, W. , and Hung, J. C. , 1993, “ Variable Structure Control: A Survey,” IEEE Trans. Ind. Electron., 40(1), pp. 2–20. [CrossRef]
Su, J.-P. , 2001, “ Robust Control of a Class of Nonlinear Cascade Systems: A Novel Sliding Mode Approach,” Proc. IEEE Control Theory Appl., 149(2), pp. 131–136. [CrossRef]
Slotine, J.-J. E. , and Li, W. , 1991, Applied Nonlinear Control, Prentice Hall, Upper Saddle River, NJ.
Duan, S. L. , An, G. C. , and Xue, J. , 2002, “ Adaptive Sliding Mode Control for Electrohydraulic Servo Force Control Systems,” Chin. J. Mech. Eng., 38(5), pp. 109–113. [CrossRef]
Chen, H.-M. , Renn, J.-C. , and Su, J.-P. , 2005, “ Sliding Mode Control With Varying Boundary Layers for an Electro-Hydraulic Position Servo System,” Int. J. Adv. Manuf. Technol., 26(1), pp. 117–123. [CrossRef]
Song, X. , Park, Y. , and Park, J. , 2013, “ Blowdown Prediction of a Conventional Pressure Relief Valve With a Simplified Dynamic Model,” Math. Comput. Model, 57(2), pp. 279–288. [CrossRef]
Craig, J. J. , 2005, Introduction to Robotics Mechanics and Control, Prentice Hall, Upper Saddle River, NJ. [PubMed] [PubMed]
Yang, W. C. , and Tobler, W. E. , 1991, “ Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model,” ASME J. Dyn. Syst. Meas. Control, 113(1), pp. 152–162. [CrossRef]
Guan, C. , and Pan, S. , 2008, “ Nonlinear Adaptive Robust Control of Single-Rod Electro-Hydraulic Actuator With Unknown Nonlinear Parameters,” IEEE Trans. Control Syst. Technol., 16(3), pp. 434–445. [CrossRef]
Karpenko, M. , and Sepehri, N. , 2007, “ Decentralized Coordinated Motion Control of Two Hydraulic Actuators Handling a Common Object,” ASME J. Dyn. Syst. Meas. Control, 129(5), pp. 729–741. [CrossRef]


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Fig. 1

Schematic diagram of the electro-hydraulic servo system

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Fig. 2

Schematic diagram of spool inside the proportional directional control valve

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Fig. 3

Schematic diagram of inner dynamics of a proportional pressure relief valve

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Fig. 4

Linear path with parabolic blends

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Fig. 5

Chattering and boundary layer

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Fig. 6

Schematic block diagram of system

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Fig. 7

Overall scheme of the presented control strategy

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Fig. 8

Smooth step tracking performance: (a) tracking performance and (b) tracking error

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Fig. 9

Smooth step tracking: (a) velocity and (b) control input

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Fig. 10

Directional control valve spool position

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Fig. 11

Sinusoidal tracking performance

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Fig. 12

Sinusoidal tracking: (a) tracking error and (b) velocity

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Fig. 13

Pressure diagram: (a) P1 and (b) P2

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Fig. 14

Flow diagram: (a) Q1 and (b) Q2

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Fig. 15

Trajectory tracking performance with acceleration constraint

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Fig. 16

Trajectory tracking with acceleration constraint: (a) tracking error and (b) velocity

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Fig. 17

Trajectory tracking in presence of model uncertainty: (a) tracking performance and (b) tracking error

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Fig. 18

Trajectory tracking in the presence of load disturbance: (a) tracking performance and (b) tracking error

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Fig. 19

Trajectory tracking in the presence of excessive load disturbance: (a) tracking performance and (b) tracking error



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