Sliding mode control for a class of uncertain nonlinear system based on disturbance observer

International Journal of Adaptive Control and Signal Processing

Volumn 24, Issue 1, 2010, Pages 51-64

  Chen, Mou ^a   Chen, Wen Hua ^b  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Adaptive control; Disturbance observer; Lyapunov method; Sliding mode control; Uncertain nonlinear system

Indexed keywords

ADAPTIVE CONTROL; DISTURBANCE OBSERVER; NONLINEAR DISTURBANCE OBSERVER; NONLINEAR GAINS; SIMULATION EXAMPLE; UNCERTAIN NONLINEAR SYSTEMS; UNKNOWN DISTURBANCE;

LYAPUNOV METHODS; NONLINEAR SYSTEMS; SLIDING MODE CONTROL;

ADAPTIVE CONTROL SYSTEMS;

EID: 73849124644     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.1110     Document Type: Article

References (28)

1. Kanellakopoulos I, Kokotovic PV, Morse AS. Adaptive output-feedback control of system with output nonlinearities. IEEE Transactions on Automatic Control 1992; 37(11): 1666-1682.
2. ∞control of uncertain nonlinear systems. Automatica 2006; 42(9): 1547-1552.
3. Fu Y, Chai TY. Nonlinear multivariable adaptive control using multiple models and neural networks. Automatica 2007; 43(6): 1101-1110.
4. Ge SS, Li GY, Zhang J, Lee TH. Direct adaptive control for a class of MIMO nonlinear systems using neural networks. IEEE Transactions on Automatic Control 2004; 49(11): 2001-2004.
5. Sun ZY, Liu YG. Adaptive state-feedback stabilization for a class of high-order nonlinear uncertain systems. Automatica 2007; 43(10): 1772-1783.
6. Li YH, Qiang S, Zhuang XY, Kaynak O. Robust and adaptive backstepping control for nonlinear systems using RBF neural networks. IEEE Transactions on Neural Networks 2004; 15(3): 693-701.
7. Travieso-Torres JC, Duarte-Mermoud MA, Sepleveda DI. Passivity-based control for stabilization, regulation and tracking purposes of a class of nonlinear systems. International Journal of Adaptive Control and Signal Processing 2007; 21(7): 582-602.
8. Niu Y, Ho DWC. Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity. IEE Proceedings - Control Theory and Applications 2006; 153(6): 737-744.
9. Hirschorn RM. Generalized sliding-mode control for multi- input nonlinear systems. IEEE Transactions on Automatic Control 2006; 51(9): 1410-1422.
10. Huang YJ, Way HK. Output-sliding control for a class of nonlinear systems. ISA Transactions 2001; 40(2): 123-131.
11. Lu XY, Spurgeon SK. Robust sliding mode control of uncertain nonlinear systems. Systems and Control Letters 1997; 45(2): 75-90.
12. Oliveira TR, Peixoto AJ, Nunes EVL, Hsu L. Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes. International Journal of Adaptive Control and Signal Processing 2007; 21(8): 692-707.
13. Chen CS, Chen WL. Robust adaptive sliding-mode control using fuzzy modeling for an inverted-pendulum System. IEEE Transactions on Industrial Electronics 1998; 45(2): 297-306.
14. Khan MK, Spurgeon SK. Robust MIMO water level control in interconnected twin-tanks using second order sliding mode control. Control Engineering Practice 2006; 14(4): 375-386.
15. Lin WS, Chen CS. Robust adaptive sliding mode control using fuzzy modelling for a class of uncertain MIMO nonlinear systems. IEE Proceedings - Control Theory and Applications 2002; 149(3): 193-201.
16. Chang WD. Robust adaptive single neural control for a class of uncertain nonlinear systems with input nonlinearity. Information Sciences 2005; 171(3): 261-271.
17. Kim E. A discrete-time fuzzy disturbance observer and its application to control. IEEE Transactions on Fuzzy Systems 2003; 11(3): 399-410.
18. Kim E. A fuzzy disturbance observer and its application to control. IEEE Transactions on Fuzzy Systems 2002; 10(1): 77-84.
19. Chen WH. Disturbance observer based control for nonlinear systems. IEEE Transactions on Mechatronics 2004; 9(4): 706-710.
20. Chen WH, Ballance DJ, Gawthrop PJ, O'Reilly J. Nonlinear PID predictive controller. IEE Proceedings - Control Theory and Applications 1999; 146(6): 603-611.
21. Chen XK, Su CY, Fukuda T. A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems. IEEE Transactions on Control Systems Technology 2004; 12(4): 569-577.
22. Chen WH. Nonlinear disturbance observer-enhanced dynamical inversion control of missiles. Journal of Guidance, Control, and Dynamics 2003; 26(1): 161-166.
23. Chen WH, Ballance DJ, Gawthrop PJ, O'Reilly J. A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics 2000; 47(4): 932-938.
24. Kuo TC, Huang YJ, Chang SH. Sliding mode control with self-tuning law for uncertain nonlinear systems. ISA Transactions 2008; 47(2): 171-178.
25. ∞tracking control for a class of uncertain nonlinear systems using radial-basis-function neural networks. Neurocomputing 2007; 70(5): 932-941.
26. Chen WH, Guo L. Analysis of disturbance observer based control for nonlinear systems under disturbances with bounded variation. Proceedings of International Conference on Control, Bath, U.K., 2004.
27. Riccardo M, Patrizio T. Global adaptive output-feedback control of nonlinear systems, part I: linear parameterization. IEEE Transactions on Automatic Control 1993; 38(1): 17-32.
28. Yan JJ, Hung ML, Li TL. Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters. Journal of Sound and Vibration 2006; 298(2): 298-306.