Robust sliding mode control for uncertain linear discrete systems independent of time-delay

International Journal of Innovative Computing, Information and Control

Volumn 7, Issue 2, 2011, Pages 869-880

  Lin, Zhiwei ^a   Xia, Yuanqing ^a   Shi, Peng ^b,d,e   Wu, Harris ^c  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b HARBIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c OLD DOMINION UNIVERSITY   (United States)

^d VICTORIA UNIVERSITY   (Australia)

^e UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Discrete time systems; Linear matrix inequality; Sliding mode control; Time delay; Uncertain systems

Indexed keywords

CONTROL SCHEMES; DISCRETE TIME SYSTEM; DISCRETE-TIME; EXTERNAL DISTURBANCES; LINEAR DISCRETE SYSTEMS; LINEAR MATRIX; PARAMETRIC UNCERTAINTIES; REACHING MOTION; ROBUST SLIDING MODE; SIMULATION STUDIES; SLIDING SURFACE; STATE MODELS; SUFFICIENT CONDITIONS;

DELAY CONTROL SYSTEMS; DIGITAL CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; SLIDING MODE CONTROL; TIME DELAY; UNCERTAIN SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 79251486636     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. D. Yue, Robust stabilization of uncertain systems with unknown input delay, Automatica, vol. 40, no. 2, pp. 331-336, 2004.
2. Y. He, M. Wu, J. H. She and G. P. Liu, Parameter-dependent lyapunov functional for stability of time-delay systems with polytopic-type uncertains, IEEE Trans, on Automatic Control, vol. 49, pp. 828-832, 2004.
3. H. Gao, J. Lam, C. Wang and Y. Wang, Delay-dependent output-feedback stabilization of discrete- time systems with time-varying state delay, IEE Proceedings - Control Theory and Applications, vol. 151, no. 6, pp. 691-698, 2004.
4. S. Xu, J. Lam and Y. Zou, New results on delay-dependent robust control for systems with time-varying delays, Automatica, vol. 42, pp. 343-348, 2006.
5. E. K. Boukas, Z. Liu and P. Shi, Delay-dependent stability and output feedback stabilization of markov jump systems with time-delays, IEE Proceedings - Control Theory and Applications, vol. 149, no. 5, pp. 379-386, 2002.
6. M. V. Basin, A. D. F. de Loza and L. M. Fridman, Sliding mode identification and control for linear uncertain stochastic systems, International Journal of Systems Science, vol. 38, no. 11, pp. 861-870, 2007.
7. Y. Xia and Y. Jia, Robust sliding mode control of uncertain time-delay systems: An LMI approach, IEEE Trans, on Automatic Control, vol. 48, no. 6, pp. 1906-1092, 2003.
8. X. Zhong, H. Xing and K. Fujimoto, Sliding mode variable structure control for uncertain stochastic systems, International Journal of Innovative Computing, Information and Control, vol. 3, no. 2, pp. 397-406, 2007.
9. H. M. Chen, Z. Y. Chen and J. P. Su, Design of a sliding mode controller for a water tank liquid level control system, International Journal of Innovative Computing, Information and Control, vol. 4, no. 12, pp. 3149-3160, 2008.
10. X. D. Liu and W. Wang, High order sliding mode and its Application on the tracking control of piezoelectric systems, International Journal of Innovative Computing, Information and Control, vol. 4, no. 3, pp. 697-704, 2008.
11. M. Zhang, Z. Yu, H. Huan and Y. Zhou, The sliding mode variable structure control based on composite reaching law of active magnetic bearing, ICIC Express Letters, vol. 2, no. 1, pp. 59-63, 2008.
12. W. Xiang and F. Chen, Sliding mode control strategies for the hyperchaotic MCK system, ICIC Express Letters, vol. 3, no. 3(A), pp. 283-288, 2009.
13. C. Y. Chan, Discrete-time adaptive sliding mode control of a linear system in state-space form, International Journal of Control, vol. 67, no. 6, pp. 859-868, 1997.
14. A. Bartoszewicz, Discrete-time quasi-sliding-mode control strategies, IEEE Trans, on Industrial Electronics, vol. 45, no. 4, pp. 633-637, 1998.
15. Y. Dote and R. G. Hoft, Microprocessor based sliding mode controller for DC motor drives, IAS Annual Meeting, Cincinnanti, OH, pp. 641-645, 1980.
16. D. Milosavljevic, General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems, Automat. Remote Contr., vol. 46, pp. 307-314, 1985.
17. W. Gao, Y. Wang and A. Homaifa, Discrete-time variable structure control systems, IEEE Trans, on Industrial Electronics, vol. 42, no. 2, pp. 117-122, 1995.
18. C. Y. Chan, Discrete adaptive sliding mode control of a state-space system with a bounded disturbance, Automatica, vol. 34, no. 12, pp. 1631-1635, 1998.
19. X. Chen and T. Fukuda, Robust adaptive quasi-sliding mode controller for discrete-time systems, Systems & Control Letters, vol. 35, no. 5, pp. 165-173, 1998.
20. M. S. Mahmoud, E. Boukas and A. Ismail, Robust adaptive control of uncertain discrete-time state- delay systems, Computers & Mathematics with Applications, vol. 55, no. 12, pp. 2887-2908, 2008.
21. Y. Zhang, C. Wen and Y. C. Soli, Robust adaptive control of uncertain discrete-time systems, Automatica, vol. 35, no. 2, pp. 321-329, 1999.
22. S. Boyd, L. E. Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory (Studies in Applied Mathematics), Society for Industrial Mathematics, Philadelphia, 1994.
23. K. S. Kim, Y. Park and S. H. Oh, Designing robust sliding surfaces for parametric uncertain systems: A riccati approach, Automatica, vol. 36, pp. 1041-1048, 2000.
24. Y. Wang, L. Xie and C. E. de Souza, Robust control of a class of uncertain nonlinear systems, Systems & Control Letters, vol. 19, pp. 139-149, 1992.
25. A. Z. Sarpturk, Y. Istefanopulos and O. Kaynak, On the stability of discrete-time sliding mode control systems, IEEE Trans, on Automatic Control, no. 10, pp. 930-932, 1987.
26. K. Furuta, Sliding mode control of a discrete system, Systems & Control Letters, vol. 14, pp. 145-152, 1990.
27. W. Gao and J. C. Hung, Variable structure control of nonlinear systems: A new approach, IEEE Trans, on Industrial Electronics, vol. 40, no. 1, pp. 45-55, 1993.
28. A. Bartoszewicz, Remarks on discrete-time variable structure control systems, IEEE Trans, on Industrial Electronics, vol. 43, pp. 235-238, 1996.