Robust adaptive sliding mode control for uncertain discrete-time systems with time delay

Journal of the Franklin Institute

Volumn 347, Issue 1, 2010, Pages 339-357

  Xia, Yuanqing ^a   Zhu, Zheng ^a   Li, Chunming ^a   Yang, Hongjiu ^a   Zhu, Quanmin ^b  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF THE WEST OF ENGLAND   (United Kingdom)

Author keywords

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

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; CONTROL STRATEGIES; DELAY SYSTEMS; DISCRETE TIME SYSTEM; DISCRETE-TIME; DISCRETE-TIME SYSTEMS; EXTERNAL DISTURBANCES; FREE-WEIGHTING MATRICES; MISMATCHED UNCERTAINTY; ROBUST ADAPTIVE SLIDING MODE CONTROL; SIMULATION RESULT; SLIDING MODES; SLIDING SURFACE; STATE VARIABLES; SUFFICIENT CONDITIONS; UPPER BOUND;

ADAPTIVE CONTROL SYSTEMS; DELAY CONTROL SYSTEMS; DIGITAL CONTROL SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; SLIDING MODE CONTROL; TIME DELAY; UNCERTAIN SYSTEMS; UNCERTAINTY ANALYSIS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 73649120579     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2009.10.011     Document Type: Article

References (29)

1. He Y., Wu M., and She J.H. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Systems & Control Letters 51 1 (2004) 57-65
2. Wu M., He Y., She J.H., and Liu G.P. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40 8 (2004) 1435-1439
3. He Y., Wu M., Liu G.P., and She J.H. Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Transactions on Automatic Control 53 10 (2008) 2372-2377
4. He Y., Wu M., She J.H., and Liu G.P. Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertains. IEEE Transactions on Automatic Control 49 (2004) 828-832
5. ∞ filtering for discrete-time systems with time-varying delay. Signal Processing 89 3 (2009) 275-282
6. ∞ filter design for time-delay fuzzy systems. IEEE Transactions on Signal Processing 55 5 (2007) 2746-2751
7. Shi P., Mahmoud M.S., Yi J., and Ismail A. Worst case control of uncertain jumping systems with multi-state and input delay information. Information Sciences 176 2 (2006) 186-200
8. Xia Y., Fu M., and Shi P. Analysis and Synthesis of Dynamical Systems with Time-Delays (2009), Springer, Berlin
9. Shi P., Boukas E.K., and Agarwal R.K. Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Transactions on Automatic Control 44 11 (1999) 2139-2144
10. Basin M.V., Ferreira d.L.A.D., and Fridman L.M. Sliding mode identification and control for linear uncertain stochastic systems. International Journal of Systems Science 38 11 (2007) 861-870
11. Xia Y., and Jia Y. Robust sliding mode control of uncertain time-delay systems: an LMI approach. IEEE Transactions on Automatic Control 48 6 (2003) 1086-1902
12. Niu Y.G., Ho D.W.G., and Lam J. Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. IEEE Transactions on Automatic Control 41 5 (2005) 873-880
13. Zhang M., Yu Z., Huan H., and Zhou Y. The sliding mode variable structure control based on composite reaching law of active magnetic bearing. ICIC Express Letters 2 1 (2008) 59-63
14. Xiang W., and Chen F. Sliding mode control strategies for the hyperchaotic MCK system. ICIC Express Letters 3 3 (2009) 283-288
15. Jimenez-Lizarraga M., and Fridman L. Robust Nash strategies based on integral sliding mode control for a two players uncertain linear affine-quadratic game. International Journal of Innovative Computing, Information and Control 5 2 (2009) 241-252
16. Acho L., and Pozo F. Sliding mode control of hysteretic structural systems. International Journal of Innovative Computing, Information and Control 5 4 (2009) 1081-1088
17. Gao W., Wang Y., and Homaifa A. Discrete-time variable structure control systems. IEEE Transactions on Industrial Electronics 42 2 (1995) 117-122
18. Bartolini G., Ferrara A., and Utkin V.I. Adaptive sliding mode control in discrete-time systems. Automatica 31 5 (1995) 769-773
19. Chan C.Y. Discrete-time adaptive sliding mode control of a linear system in state-space form. International Journal of Control 67 6 (1997) 859-868
20. Zhang Y., Wen C., and Soh Y.C. Robust adaptive control of uncertain discrete-time systems. Automatica 35 2 (1999) 321-329
21. Bartoszewicz A. Discrete-time quasi-sliding-mode control strategies. IEEE Transactions on Industrial Electronics 45 4 (1998) 633-637
22. Janardhanan S., and Bandyopadhyay B. Multirate output feedback based robust quasi-sliding mode control of discrete-time systems. IEEE Transactions on Automatic Control 52 3 (2007) 499-503
23. Y. Xia, J. Chen, G.P. Liu, D. Rees, Sliding mode control for uncertain discrete-time delayed systems, in: IEEE Conference on Decision and Control, 2007, pp. 2047-2052.
24. Chan C.Y. Discrete adaptive sliding mode control of a state-space system with a bounded disturbance. Automatica 34 12 (1998) 1631-1635
25. Chen X., and Fukuda T. Robust adaptive quasi-sliding mode controller for discrete-time systems. Systems & Control Letters 35 5 (1998) 165-173
26. Mahmoud M.S., Boukas E., and Ismail A. Robust adaptive control of uncertain discrete-time state-delay systems. Computers & Mathematics with Applications 55 12 (2008) 2887-2908
27. Y. Xia, S.S. Ge, G.P. Liu, P. Shi, D. Rees, Robust adaptive sliding mode control for uncertain time-delay systems, in: American Control Conference, 2006, pp. 3855-3860.
28. Gao H., Lam J., Wang C., and Wang Y. Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay. IEE Proceedings-Control Theory and Applications 151 6 (2004) 691-698
29. Wheeler G., Su C., and Stepanenko Y. A sliding mode controller with improved adaptation laws for the upper bounds on the norm of uncertainties. Automatica 12 (1998) 1657-1661