Delay-dependent observer-based H ∞ finite-time control for switched systems with time-varying delay

Nonlinear Analysis: Hybrid Systems

Volumn 6, Issue 3, 2012, Pages 885-898

  Liu, Hao ^a   Shen, Yi ^a   Zhao, Xudong ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

ADT; Finite time stabilization; Observer based control; Switched systems; Time varying delay

Indexed keywords

ADT; FINITE TIME STABILIZATION; OBSERVER BASED CONTROL; SWITCHED SYSTEM; TIME-VARYING DELAY;

LINEAR MATRIX INEQUALITIES; STATE FEEDBACK; TIME VARYING CONTROL SYSTEMS;

SWITCHING SYSTEMS;

EID: 84859988722     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2012.03.001     Document Type: Article

References (36)

1. Liberzon D., Morse A.S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 1999, 19(5):59-70.
2. Lin H., Antsaklis P.J. Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Transactions on Automatic Control 2009, 54(2):308-322.
3. Sun Z.D., Ge S.S. Analysis and synthesis of switched linear control systems. Automatica 2005, 41(2):181-195.
4. Lian J., Feng Z., Shi P. Observer design for switched recurrent neural networks: an average dwell time approach. IEEE Transactions on Neural Networks 2011, 22(10):1547-1556.
5. 2 gain and asynchronous control of discrete-time switched systems with average dwell time. IEEE Transactions on Automatic Control 2009, 54:2193-2200.
6. ∞ control of uncertain switched linear systems with average dwell time. Optimal Control Applications and Methods 2011, 32(1):15-27.
7. Zhang L., Boukas K., Shi P. A μ-dependent model reduction for uncertain discrete-time switched linear systems with average dwell time. International Journal of Control 2009, 82(2):378-388.
8. Zhang L., Jiang B. Stability of a class of switched linear systems with uncertainties and average dwell time switching. International Journal of Innovative Computing, Information and Control 2010, 6(2):667-676.
9. Zhang L., Gao H. Asynchronously switched control of switched linear systems with average dwell time. Automatica 2010, 46(5):953-958.
10. A. Zappavigna, P. Colaneri, J.C. Geromel, R. Shorten, Dwell time analysis for continuous-time switched linear positive systems, in: Proceedings of the 2010 American Control Conference Baltimore, 2010, pp. 6256-6261.
11. Morse A.S. Supervisory control of families of linear set-point controllers, part 1: exact matching. IEEE Transactions on Automatic Control 1996, 41:1413-1431.
12. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 1998, 43:475-482.
13. Ye H., Michel A.N., Hou L. Stability theory for hybrid dynamic systems. IEEE Transactions on Automatic Control 1998, 43:461-474.
14. Narendra K.S., Balakrishnan J.A. Common Lyapunov function for stable LTI systems with commuting A-matrices. IEEE Transactions on Automatic Control 1994, 39:2469-2471.
15. Fridman E., Shaked U. An improved stabilization method for linear time-delay systems. IEEE Transactions on Automatic Control 2002, 47(11):1931-1937.
16. Liu M., Ho Daniel W.C., Niu Yugang Stabilization of Markovian Jump linear system over networks with random communication delay. Automatica 2009, 45(2):416-421.
17. ∞ observer-based control for continuous time-delay systems. Information Sciences 2008, 178:4699-4706.
18. ∞ filtering of a class of switched discrete-time state delay systems. Signal Processing 2008, 88:2709-2719.
19. Liu J., Liu X.Z., Xie W.C. Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Analysis: Hybrid Systems 2008, 2:81-95.
20. Sun Y.G., Wang L., Xie G.M. Delay-dependent robust stability and stabilization for discrete-time switched systems with mode-dependent time-varying delays. Applied Mathematics and Computation 2006, 180:428-435.
21. Zhang L., Boukas E., Haidar A. Delay-range-dependent control synthesis for time-delay systems with actuator saturation. Automatica 2008, 44(10):2691-2695.
22. Liu Z., Zhang H., Sun Q., Yang D. Output feedback switching controller design for state-delayed linear systems with input quantization and disturbances. ICIC Express Letters 2010, 4(5B):1791-1798.
23. ∞ control: constant and time-varying delays. International Journal of Control 2003, 76(1):48-60.
24. 2 approach. Computers and Mathematics with Applications 2009, 57:79-95.
25. Liu D.Y., Zhong S.M., Liu X.Z., Huang Y.Q. Stability analysis for uncertain switched neutral systems with discrete time-varying delay: a delay-dependent method. Mathematics and Computers in Simulation 2009, 80:436-448.
26. Qiu J., Feng G., Yang J. New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay. IET Control Theory and Applications 2008, 2(9):795-806.
27. Michel A.N., Wu S.H. Stability of discrete systems over a finite interval of time. International Journal of Control 1969, 9:679-693.
28. Weiss L., Infante E.F. Finite time stability under perturbing forces and on product spaces. IEEE Transaction on Automatic Control 1967, 12(1):54-59.
29. P. Dorato, Short time stability in linear time-varying systems, in: Proceedings of the IRE International Convention Record Part 4, 1961, pp. 83-87.
30. He S.P., Liu F. Robust finite-time stabilization of uncertain fuzzy jump systems. International Journal of Innovative Computing, Information and Control 2010, 6(9):3853-3862.
31. Li S.H., Wang Z., Fei S.M. Finite-time control of a bioreactor system using terminal sliding mode. International Journal of Innovative Computing, Information and Control 2009, 5(10B):3495-3504.
32. 2-gain analysis for switched delay systems with norm-bounded disturbance. Applied Mathematics and Computation 2011, 217:5982-5993.
33. ∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance. Journal of the Franklin Institute 2011, 348:331-352.
34. J. Yu, L. Wang, M. Yu, Y. Jia, J. Chen, Packet-loss dependent controller design for networked control systems via switched system approach. in: Proceedings of 47th IEEE Conference on Decision and Control, 2008, pp. 3354-3359.
35. J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time, in: Proceedings of IEEE Conference on Decision and Control, 1999, pp. 2655-2660.
36. Ho D.W.C., Lu G. Robust stabilization for a class of discrete-time non-linear systems via output feedback: the unified LMI approach. International Journal of Control 2003, 76:105-115.