Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching

Applied Mathematics and Computation

Volumn 217, Issue 19, 2011, Pages 7725-7736

  Xiang, Zhengrong ^a   Wang, Ronghao ^b   Chen, Qingwei ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b PLA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Almost surely exponential stability; Asynchronous switching; Reliable control; Robust stabilization; Stochastic switched systems

Indexed keywords

ALMOST SURELY EXPONENTIAL STABILITY; ASYNCHRONOUS SWITCHING; RELIABLE CONTROL; ROBUST STABILIZATION; SWITCHED SYSTEM;

CONTROL NONLINEARITIES; CONTROLLERS; EXPONENTIAL FUNCTIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; STABILIZATION; SWITCHING; SWITCHING SYSTEMS;

STOCHASTIC SYSTEMS;

EID: 79955835949     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.02.076     Document Type: Article

References (44)

1. A. Balluchi, M.D. Benedetto, C. Pinello, C. Rossi, and A. Sangiovanni-Vincentelli Cut-off in engine control: a hybrid system approach Proceedings of the 36th IEEE Conference on Decision and Control 1997 4720 4725
2. B.E. Bishop, and M.W. Spong Control of redundant manipulators using logic-based switching Proceedings of the 36th IEEE Conference on Decision and Control 2 1998 16 18
3. W. Zhang, M.S. Branicky, and S.M. Phillips Stability of networked control systems IEEE Control Systems Magazine 21 1 2001 84 99 (Pubitemid 32869524)
4. A. Gollu, and P.P. Varaiya Hybrid dynamical systems Proceedings of the 28th IEEE Conference on Decision and Control, Tampa 1989 2708 2712 (Pubitemid 20701284)
5. J. Zhao, and M.W. Spong Hybrid control for global stabilization of the cart-pendulum system Automatica 37 2001 1941 1951 (Pubitemid 32951290)
6. Z. Sun, and S.S. Ge Analysis and synthesis of switched linear control systems Automatica 41 2 2005 181 195 (Pubitemid 41536568)
7. D. Cheng, L. Guo, Y. Lin, and Y. Wang Stabilization of switched linear systems IEEE Transactions on Automatic Control 50 5 2005 661 666 (Pubitemid 40784438)
8. Z. Sun Combined stabilizing strategies for switched linear systems IEEE Transactions on Automatic Control 51 4 2006 666 674
9. H. Lin, and P.J. Antsaklis Stability and stabilizability of switched linear systems: a survey of recent results IEEE Transactions on Automatic Control 54 2 2009 308 322
10. Z. Sun A robust stabilizing law for switched linear systems International Journal of Control 77 4 2004 389 398
11. D. Liberzon Switching in Systems and Control 2003 Birkhauser Boston
12. J.P. Hespanha Uniform stability of switched linear systems: extension of LaSalle's invariance principle IEEE Transactions on Automatic Control 49 4 2004 470 482
13. J.P. Hespanha, D. Liberzon, D. Angeli, and E.D. Sontag Nonlinear norm-observability notions and stability of switched systems IEEE Transactions on Automatic Control 50 2 2005 154 168 (Pubitemid 40319347)
14. Z. Xiang, and R. Wang Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching Applied Mathematics and Computation 216 3 2010 800 811
15. G. Zhai, B. Hu, and K. Yasuda Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach International Journal of Systems Science 32 8 2001 1055 1061
16. Q.K. Li, J. Zhao, and G.M. Dimirovski Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems Nonlinear Analysis: Hybrid Systems 3 2 2009 133 142
17. D. Chatterjee, and D. Liberzon On stability of stochastic switched systems Proceeding of the 43rd Conference on Decision and Control 2004 4125 4127 (Pubitemid 40287052)
18. F. Wei, and J.F. Zhang Stability analysis and stabilization control of multi-variable switched stochastic systems Automatica 42 2 2006 169 176
19. L. Wu, D.W.C. Ho, and C.W. Li Stabilisation and performance synthesis for switched stochastic systems IET Control Theory and Applications 4 10 2010 1877 1888
20. ∞ control of linear systems Journal of Systems Engineering and Electronics 17 2 2006 381 386 (Pubitemid 44249048)
21. ∞ control systems with uncertainties in all system matrices: an LMI approach Proceedings of the 2005 IEEE Conference on Control Applications 2005 28 31
22. ∞ control for uncertain nonlinear systems via LMI approach Applied Mathematics and Computation 198 1 2008 453 462
23. Y.Q. Liu, J.L. Wang, and G.H. Yang Reliable control of uncertain nonlinear systems Automatica 34 7 1998 875 879
24. L. Yu An LMI approach to reliable guaranteed cost control of discrete-time systems with actuator failure Applied Mathematics and Computation 162 3 2005 1325 1331 (Pubitemid 40114498)
25. G.H. Yang, J.L. Wang, and Y.C. Soh Reliable guaranteed cost control for uncertain nonlinear systems IEEE Transactions on Automatic Control 45 11 2000 2188 2192 (Pubitemid 32085245)
26. ∞ fuzzy control for uncertain nonlinear systems with markovian jumping actuator faults Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 129 3 2007 252 261
27. ∞ control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters Journal of Control Theory and Applications 6 4 2008 410 414
28. H. Zhang, Z.H. Guan, and G. Feng Reliable dissipative control for stochastic impulsive systems Automatica 44 4 2008 1004 1010
29. ∞ control of uncertain linear impulsive stochastic systems International Journal of Robust and Nonlinear Control 18 13 2008 1348 1371
30. ∞ control for stochastic time-delay systems with Markovian jump parameters via parameter-dependent Lyapunov functionals Circuits, Systems, and Signal Processing 27 3 2008 331 349
31. L. Greco, D. Fontanelli, and A. Bicchi Robust almost sure stability for uncertain stochastically scheduled anytime controllers Proceedings of Mediterranean Conference on Control and Automation 2008 249 254
32. Z. Wang, B. Huang, and K.J. Burnham Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 48 5 2001 646 650 (Pubitemid 32536511)
33. ∞ reliable control for uncertain singular stochastic fuzzy systems Proceedings of the IEEE International Conference on Automation and Logistics 2008 1561 1566
34. ∞ control for a class of switched nonlinear systems with actuator failures Nonlinear Analysis: Hybrid Systems 1 3 2007 317 325
35. R. Wang, and J. Zhao Robust adaptive control for a class of uncertain switched delay systems with actuator failures Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms 15 5 2008 635 645
36. G. Xie, and L. Wang Stabilization of switched linear systems with time-delay in detection of switching signal Journal of Mathematical Analysis and Applications 305 6 2005 277 290 (Pubitemid 40350383)
37. W. Xie, C. Wen, and Z. Li Input-to-state stabilization of switched nonlinear systems IEEE Transactions on Automatic Control 46 7 2001 1111 1116 (Pubitemid 32732637)
38. Z. Ji, X. Guo, S. Xu, and L. Wang Stabilization of switched linear systems with time-varying delay in switching occurrence detection Circuits, Systems and Signal Processing 26 3 2007 361 367
39. D. Xie, and X. Chen Observer-based switched control design for switched linear systems with time-delay in detection of switching signal IET Control Theory and Applications 2 5 2008 437 445 (Pubitemid 351776420)
40. Z.R. Xiang, and R.H. Wang Robust control for uncertain nonlinear switched systems with time delay under asynchronous switching IET Control Theory and Applications 3 8 2009 1041 1050
41. G.S. Zhai, B. Hu, K. Yasuda, and A.N. Michel Disturbance attenuation properties of time-controlled switched systems Journal of the Franklin Institute 338 7 2001 765 779 (Pubitemid 33018914)
42. D. Williams Probability with Martingales 1991 Cambridge University Press London
43. Y. Cao, Y. Sun, and C. Cheng Delay dependent robust stabilization of uncertain systems with multiple state delays IEEE Transactions on Automatic Control 43 11 1998 1608 1612 (Pubitemid 128736546)
44. ∞ control of systems with parameter uncertainty International Journal of Control 63 4 1996 741 750 (Pubitemid 126519393)