Adaptive Sliding-Mode Tracking Control for an Uncertain Nonlinear SISO Servo System with a Disturbance Observer

doi:10.1007/s12204-018-1953-6

摘要/Abstract

摘要： An adaptive sliding mode controller with a disturbance observer (ASMC-DO) is proposed for the control of a single-input and single-output (SISO) servo system which has uncertain parameters, nonlinear friction, disturbance and input saturation. It is di±cult to choose the suitable value of the parameters. The newly designed adaptive method is used to reduce the e?ects of system time-varying parameters, such as the moment of inertia and the damp coe±cient. The robustness of object is improved. A DO is selected to approximate the compound disturbance and to render the estimate error convergent in ˉnite time. The stability and the convergence of the closed-loop system are proved by using the Lyapunov theory. Experimental results show that the proposed ASMC-DO can better satisfy the in°uence of variable parameters and external disturbance to the control precision of the SISO servo system than other two controllers. The e?ectiveness of the proposed controller is showed. The control input stability and robust performances of the input saturation system are enhanced and the chattering is reduced.

关键词: adaptive sliding mode controller, disturbance observer, input saturation, uncertain nonlinear SISO servo system

Abstract: An adaptive sliding mode controller with a disturbance observer (ASMC-DO) is proposed for the control of a single-input and single-output (SISO) servo system which has uncertain parameters, nonlinear friction, disturbance and input saturation. It is di±cult to choose the suitable value of the parameters. The newly designed adaptive method is used to reduce the e?ects of system time-varying parameters, such as the moment of inertia and the damp coe±cient. The robustness of object is improved. A DO is selected to approximate the compound disturbance and to render the estimate error convergent in ˉnite time. The stability and the convergence of the closed-loop system are proved by using the Lyapunov theory. Experimental results show that the proposed ASMC-DO can better satisfy the in°uence of variable parameters and external disturbance to the control precision of the SISO servo system than other two controllers. The e?ectiveness of the proposed controller is showed. The control input stability and robust performances of the input saturation system are enhanced and the chattering is reduced.

Key words: adaptive sliding mode controller, disturbance observer, input saturation, uncertain nonlinear SISO servo system

中图分类号:

TP 273

YUE Caichenga (岳才成), CHEN Hongbina (陈红彬), QIAN Linfanga (钱林方), KONG Jianshoub (孔. Adaptive Sliding-Mode Tracking Control for an Uncertain Nonlinear SISO Servo System with a Disturbance Observer[J]. sa, 2018, 23(3): 376-.

YUE Caichenga (岳才成), CHEN Hongbina (陈红彬), QIAN Linfanga (钱林方), KONG Jianshoub (孔建寿). Adaptive Sliding-Mode Tracking Control for an Uncertain Nonlinear SISO Servo System with a Disturbance Observer[J]. Journal of Shanghai Jiao Tong University (Science), 2018, 23(3): 376-.

参考文献 27

[1]	KOU B Q, CHENG S K. AC servo-motor and its con-trol [M]. Beijing: China Machine Press, 2008 (in Chinese).
[2]	YANG W Q, CAI Xu, JIANG J G. Sliding-mode vari-able structure speed control with integral action forvector controlled asynchronous motor [J]. Journal ofShanghai Jiao Tong University, 2005, 39(3): 426-433(in Chinese).
[3]	MOHAMED A R I. Design and implementation of arobust current-control scheme for a PMSM vector drivewith a simple adaptive disturbance observer [J]. IEEETransactions on Industrial Electronics, 2007, 54(4):1981-1988.
[4]	TRAN X T, KANG H J. Adaptive hybrid high-orderterminal sliding mode control of MIMO uncertain non-linear systems and its application to robot manipula-tors [J]. International Journal of Precision Engineeringand Manufacturing, 2015, 16(2): 255-266.
[5]	VAN M, KANG H J, SUH Y S, et al. Output feedbacktracking control of uncertain robot manipulators viahigher-order sliding-mode observer and fuzzy compen-sator [J]. Journal of Mechanical Science and Technol-ogy, 2013, 27(8): 2487-2496.
[6]	NEMATI H, BANDO M, HOKAMOTO S. Chatteringattenuation sliding mode approach for nonlinear sys-tems [J]. Asian Journal of Control, 2017, 19(4): 1519-1531.
[7]	WANG S J, HOU L, DONG L, et al. Adaptive fuzzysliding mode control of uncertain nonlinear SISO sys-tems [J]. Procedia Engineering, 2011, 24(8): 33-37.
[8]	HO H F, WONG Y K, RAD A B. Adaptive fuzzy slid-ing mode control with chattering elimination for non-linear SISO systems [J]. Simulation Modelling Practiceand Theory, 2009, 17(7): 1199-1210.
[9]	LI Y M, LI T S, TONG S C. Adaptive neural net-works output feedback dynamic surface control designfor MIMO pure-feedback nonlinear systems with hys-teresis [J]. Neurocomputing, 2016, 198: 58-68.
[10]	ZEINALI M, NOTASH L. Adaptive sliding mode con-trol with uncertainty estimator for robot manipulators[J]. Mechanism and Machine Theory, 2010, 45(1): 80-90.
[11]	HAO R J, WANG J Z, ZHAO J B, et al. Adaptiverobust control for electrical cylinder with friction com-pensation using modiˉed LuGre model [J]. Journal ofBeijing Institute of Technology, 2014, 23(3): 358-367.
[12]	HUANG Y J, KUO T C, CHANG S H. Adaptivesliding-mode control for nonlinear systems with uncer-tain parameters [J]. IEEE Transactions on Systems,Man and Cybernetics－Part B: Cybernetics, 2008,38(2): 534-539.
[13]	WU W B, DI Q B, FEI Q, et al. New model referenceadaptive control with input constraints [J]. Journal ofBeijing Institute of Technology, 2015, 24(3): 405-412.
[14]	GOU Y Y, LI H B, DONG X M, et al. Constrainedadaptive neural network control of an MIMO aeroelas-tic system with input nonlinearities [J]. Chinese Jour-nal of Aeronautics, 2017, 30(2): 796-806.
[15]	KIM B K, WAN K C. Advanced design of disturbanceobserver for high performance motion control systems[C]//Proceedings of the American Control Conference.Anchorage, AK: 2002: 2112-2117.
[16]	KOMADA S, MACHII N, HORI T. Control of redun-dant manipulators considering order of disturbance ob-server [J]. IEEE Transactions on Industrial Electron-ics, 2000, 47(2): 413-420.
[17]	ZHANG X H, LIU H X, DING Shi-hong, et al. PMSMspeed-adjusting system based on disturbance observerand ˉnite-time control [J]. Control and Decision, 2009,24(7): 1028-1032 (in Chinese).
[18]	WANG B, WANG T, FAN W, et al. Pneumatic forceservo system based on disturbance observer [J]. Jour-nal of Beijing Institute of Technology, 2016, 25(3):346-352.
[19]	CHEN C, MA G F, SUN Y C, et al. Recursive slidingmode control for hypersonic vehicle based on nonlin-ear disturbance observer [J]. Acta Armamentarii, 2016,37(5): 840-850 (in Chinese).
[20]	CHEN M, CHEN W H, WU Q X. Adaptive fuzzytracking control for a class of uncertain MIMO non-linear systems using disturbance observer [J]. ScienceChina Information Sciences, 2014, 57(1): 1-13.
[21]	RASHAD R, EL-BADAWY A, ABOUDONIA A. Slid-ing mode disturbance observer-based control of a twinrotor MIMO system [J]. ISA Transactions, 2017, 69:1-9.
[22]	JAFAROV E M. Design modiˉcation of sliding modeobservers for uncertain MIMO systems without andwith time-delay [J]. Asian Journal of Control, 2010,7(4): 380-392.
[23]	CHEN M, WU Q X, CUI R X. Terminal sliding modetracking control for a class of SISO uncertain nonlinearsystems [J]. Isa Transactions, 2012, 52(2): 1-9.
[24]	MIN Y Y, LIU Y G. Barbalat Lemma and its applica-tion in analysis of system stability [J]. Journal of Shan-dong University (Engineering Science), 2007, 37(1):51-55 (in Chinese).
[25]	YANG J, CHEN W H, LI S. Non-linear disturbanceobserver-based robust control for systems with mis-matched disturbances/uncertainties [J]. IET ControlTheory and Applications, 2011, 5(18): 2053-2062.
[26]	CHEN W H, BALLANCE D J, GAWTHROP P J, etal. A nonlinear disturbance observer for robotic ma-nipulators [J]. IEEE Transactions on Industrial Elec-tronics, 2000, 47(4): 932-938.
[27]	YANG J, LI S H, YU X H. Sliding-mode control forsystems with mismatched uncertainties via a distur-bance observer [J]. IEEE Transactions on IndustrialElectronics, 2013, 60(1): 1-10.