Tracking Performance Evaluation of Robust Back-Stepping Control Design for a Nonlinear Electrohydraulic Servo System

Authors: M. Ahmadnezhad, M. Soltanpour

Abstract:

Electrohydraulic servo system have been used in industry in a wide number of applications. Its dynamics are highly nonlinear and also have large extent of model uncertainties and external disturbances. In this paper, a robust back-stepping control (RBSC) scheme is proposed to overcome the problem of disturbances and system uncertainties effectively and to improve the tracking performance of EHS systems. In order to implement the proposed control scheme, the system uncertainties in EHS systems are considered as total leakage coefficient and effective oil volume. In addition, in order to obtain the virtual controls for stabilizing system, the update rule for the system uncertainty term is induced by the Lyapunov control function (LCF). To verify the performance and robustness of the proposed control system, computer simulation of the proposed control system using Matlab/Simulink Software is executed. From the computer simulation, it was found that the RBSC system produces the desired tracking performance and has robustness to the disturbances and system uncertainties of EHS systems.

Keywords: Electro hydraulic servo system, back-stepping control, robust back-stepping control, Lyapunov redesign

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1108695

References:

[1] H. E. Merrit, Hydraulic Control Systems. New York: John Wiley & Sons Inc, 1967.
[2] J. Watton, Fluid Power Systems. New Jersey: Prentice Hall, 1989.
[3] J. E. Bobrow and K. Lum, “Adaptive, High Bandwidth Control of a Hydraulic Actuator,” Trans. of the ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 118, No. 4, pp. 714-720, 1996.
[4] Yao, Jianjun, et al. "Adaline neural network-based adaptive inverse control for an electro-hydraulic servo system," Journal of Vibration and Control (2011).
[5] H. M. Kim, et al. "Robust Position Control of Electro-Hydraulic Actuator Systems Using the Adaptive Back-Stepping Control Scheme Proceedings of the Institution of Mechanical Engineers,” Part I: Journal of Systems and Control Engineering, 224: 737-746, September 2010.
[6] W. Piotr, and R. Dindorf, "Adaptive Control of the Electro‐Hydraulic Servo‐System with External Disturbances." Asian Journal of Control 15.4, 1065-1080, 2013.
[7] Y. Jianyong, J. Zongxia, "Electrohydraulic positioning servo control based on its adaptive inverse model," 6th IEEE Conference on Industrial Electronics and Applications, 1698, 1701, 21-23, June 2011.
[8] K. Claude, J-P. Kenne, and M. Saad. "Indirect adaptive control of an electrohydraulic servo system based on nonlinear backstepping," IEEE/ASME Transactions on Mechatronics, 16.6, 1171-1177, 2011.
[9] S. Lasse, A. T. Ole, P. H. Clemmensen, “Robust Non-Chattering Observer Based Sliding Control Concept for Electro-Hydraulic Drives,” 6th IFAC Symposium on Mechatronic Systems, 99-108, Zhejiang University, Hangzhou, China, 2013.
[10] C. Dong, J. Lu, Q. Meng, "Position control of an electro-hydraulic servo system based on improved Smith predictor," International Conference on Electronic and Mechanical Engineering and Information Technology, vol.6, pp.2818,2821, Aug. 2011.
[11] S. Kurode, P. G. Desai, A. Shiralkar, “Modeling of electro-hydraulic servo valve and Robust Position Control using Sliding Mode Technique,” Proceedings of the 1st International and 16th National Conference on Machines and Mechanisms, IIT Roorkee, India, Dec 2013.
[12] W. M. Bessa, M. S. Dutra, E. Kreuzer, “Sliding Mode Control with Adaptive Fuzzy Dead-Zone Compensation of an Electro-hydraulic Servo-System,” Journal of Intelligent and Robotic Systems, Volume 58, Issue 1, pp 3-16, 2010.
[13] M. F. Rahmat, et al. "Modeling and controller design of an industrial hydraulic actuator system in the presence of friction and internal leakage." International Journal of Physical Sciences, 6.14, 3502-3517, 2011.
[14] W. Hongyan, Q. Jihong, W. Qinglin, "A hybrid adaptive wavelet neural network control and sliding mode control for electro-hydraulic servo system," 29th Chinese Control Conference, pp.2328, 2333, July 2010.
[15] T. L. Chern and Y. C. Wu, “Design of Integral Variable Structure Controller and Application to Electrohydraulic Velocity Servosystems,” IEE Proceedings D (Control Theory and Applications). Vol. 138. No. 5. IET Digital Library pp. 439-444, 1991.
[16] R. F. Fung and R. T. Yang, “Application of Variable Structure Controller in Position Control of a Nonlinear Electrohydraulic Servo System,” Computers & Structures, Vol. 66, No. 4, pp. 365-372, 1998.
[17] P. Pornjit, S. Thongchai, and S. Tansriwong. "A hybrid of fuzzy and proportional-integral-derivative controller for electro-hydraulic position servo system." Energy Research Journal, 1.2, 62-67, 2010.
[18] S. Kwanchai, et al. "A hybrid of fuzzy and fuzzy self-tuning PID controller for servo electro-hydraulic system." 6th IEEE Conference on Industrial Electronics and Applications, 2011.
[19] A. Ramli, et al. "Self-tuning fuzzy PID controller for electro-hydraulic cylinder." 7th International Colloquium on Signal Processing and its Applications, 2011.
[20] Y. Lin-ke, et al. "Fuzzy PID control for direct drive electro-hydraulic position servo system," International Conference on Consumer Electronics, Communications and Networks (CECNet), pp. 370-373, April 2011.
[21] R. Mohd, et al. "Self-tuning position tracking control of an electrohydraulic servo system in the presence of internal leakage and friction." International Review of Automatic Control, 3.6, 684-691, 2010.
[22] O. Cerman, and P. Hušek, “Adaptive fuzzy sliding mode control for electro-hydraulic servo mechanism,” Expert Systems with Applications, Volume 39, Issue 11, Pages 10269-10277, 2012.
[23] Y. Bai, P. Li, "Adaptive fuzzy sliding mode control for Electrohydraulic position servo system," Control and Decision Conference, Chinese, pp. 3249-3253, May 2010.
[24] A. A. Aly, et al. "Intelligent PI Fuzzy Control of An Electro-Hydraulic Manipulator." International Journal of Intelligent Systems and Applications (IJISA), 4.7, 43, 2010.
[25] H. M. Kim, et al. “A robust control of electro hydrostatic actuator using the adaptive back-stepping scheme and fuzzy neural networks,” International Journal of Precision Engineering and Manufacturing, Volume 11, Issue 2, pp. 227-236, 2010.
[26] G. Vossoughi and M. Donath, “Dynamic Feedback Linearization for Electrohydraulic Actuated Control Systems,” Trans. of the ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 117, No. 3, pp. 468-477, 1995.
[27] M. H. Angue, et al. "Feedback linearization-based position control of an electrohydraulic servo system with supply pressure uncertainty." IEEE Transactions on Control Systems Technology, 20.4, 1092-1099, 2012.
[28] P. Gruber and S. Balemi, “Overview of non-linear control methods,” Swiss, May 2010.
[29] A. A. Aly, “PID Parameters Optimization Using Genetic Algorithm Technique for Electrohydraulic Servo Control System,” Intelligent Control and Automation, 2, 69-76, 2011.
[30] P. Olranthichachat, S. Kaitwanidvilai, “Design of Optimal Robust PI Controller for Electro-Hydraulic Servo System," Engineering Letters, vol. 19, no. 3, 2011.