Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching

Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

Volumn 223, Issue 8, 2009, Pages 1111-1128

  Xiang, Z R ^a   Wang, R H ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Asynchronous switching; Robust stabilization; Switched non linear systems; Time varying delays

Indexed keywords

CONTROLLER DESIGNS; EXPONENTIAL STABILITY; FREE-WEIGHTING MATRICES; LIPSCHITZ; NONLINEARITIES; NUMERICAL EXAMPLE; ROBUST STABILIZATION; ROBUST STABILIZATION PROBLEM; STABILITY ANALYSIS; STATE FEEDBACK CONTROLLER; STRUCTURED UNCERTAINTIES; SUFFICIENT CONDITIONS; SWITCHED NON-LINEAR SYSTEMS; SWITCHED SYSTEM; SWITCHING INSTANTS; TIME-DELAY SYSTEMS; TIME-VARYING DELAY; TIME-VARYING DELAYS;

CONTROLLERS; DELAY CONTROL SYSTEMS; LINEAR SYSTEMS; NONLINEAR SYSTEMS; STABILIZATION; STATE FEEDBACK; SWITCHING; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

SYSTEM STABILITY;

EID: 72649086081     PISSN: 09596518     EISSN: None     Source Type: Journal    
DOI: 10.1243/09596518JSCE809     Document Type: Article

References (34)

1. Wang, W. and Brockett, R. W. Systems with finite communication bandwidth constraints - part I: State estimation problems. IEEE Trans. Autom. Control, 1997, 42(9), 1294-1299.
2. Tomlin, C., Pappas, G. J., and Sastry, S. Conflict resolution for air traffic management: A study in multiagent hybrid systems. IEEE Trans. Autom. Control, 1998, 43(4), 509-521.
3. Varaiya, P. Smart cars on smart roads: Problems of control. IEEE Trans. Autom. Control, 1993, 38(2), 195-207.
4. Sun, Z. Combined stabilizing strategies for switched linear systems. IEEE Trans. Autom. Control, 2006, 51(4), 666-674.
5. Xia, W. and Cao, J. Adaptive synchronization of a switching system and its applications to secure communications. Chaos, 2008, 18(2), 023128.
6. Sun, Y. and Cao, J. Stabilization of stochastic delayed neural network with Markovian switching. Asian J. Control, 2008, 10(3), 327-340.
7. Yu, W., Cao, J., and Yuan, K. Synchronization of switched system and application in communication. Phys. Lett. A, 2008, 372(24), 4438-4445.
8. Sun, Z. and Ge, S. S. Analysis and synthesis of switched linear control systems. Automatica, 2005, 41(2), 181-195. (Pubitemid 41536568)
9. Hespanha, J. P., Liberzon, D., Angeli, D., and Sontag, E. D. Nonlinear norm-observability notions and stability of switched systems. IEEE Trans. Autom. Control, 2005, 50(2), 154-168.
10. Pettersson, S. Observer design for switched systems using multiple quadratic Lyapunov functions. In Proceedings of IEEE International Symposium on Intelligent control, Limassol, Cyprus, 2005.
11. Hespanha, J. P. Uniform stability of switched linear systems: Extension of LaSalle's invariance principle. IEEE Trans. Autom. Control, 2004, 48(4), 470-482.
12. Wang, R. and Zhao, J. Guaranteed cost control for a class of uncertain switched delay systems: An average dwell-time method. Cybernetics and Syst., 2007, 38(1), 105-122. (Pubitemid 46277635)
13. De Persis, C., De Santis, R., and Morse, A. S. Nonlinear switched systems with state dependent dwell-time. In Proceedings of IEEE Conference on Decision and control, Las Vegas, Nevada, 2002.
14. Sun, X. M., Dimirovski, G. M., Zhao, J., Wang, W., and Cyril, S. S. Exponential stability for switched delay systems based on average dwell time technique and Lyapunov function method. In Proceedings of American Control Conference, Minneapolis, Minnesota, 2006.
15. De Persis, C., De Santis, R., and Morse, A. S. Switched nonlinear systems with state-dependent dwell-time. Syst. and Control Lett., 2003, 50, 291-302.
16. Guan, H. W. and Gao, L. X. Delay-dependent robust stability and H' control for jump linear system with interval time-varying delay. In Proceedings of Chinese Control Conference, Zhangjiajie, China, 2007.
17. Guo, J. F. and Gao, C. C. Output variable structure control for time-invariant linear time-delay singular system. J. Syst. Sci. and Complexity, 2007, 20(3), 454-460.
18. Liu, J., Liu, X. Z., and Xie, W. C. Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Analysis: Hybrid Syst., 2008, 2(1), 81-95.
19. Mohamad, M. S., Alwan, S., and Liu, X. Z. On stability of linear and weakly nonlinear switched systems with time delay. Mathl and Comput. Modeling, 2008, 48, 1150-1157.
20. Niamsup, P. Controllability approach to H' control problem of linear time-varying switched systems. Nonlinear Analysis: Hybrid Syst., 2008, 3(2), 875-886.
21. Mahmoud, M. S. Delay-dependent H filtering of a class of switched discrete-time state delay systems. Signal Processing, 2008, 88(11), 2709-2719.
22. Xiang, Z. and Wang, R. Robust L' reliable control for uncertain switched nonlinear systems with time delay. Appl. Math. and Comput., 2009, 210(1), 202-210.
23. Li, Q. K., Zhao, J., and Dimirovski, G. M. Tracking control for switched time-varying delay systems with stabilizable and unstabilizable subsystems. Nonlinear Analysis: Hybrid Syst., 2009, 3(2), 133-142.
24. Zhai, G. S., Hu, B., Yasuda, K., and Michel, A. N. Disturbance attenuation properties of time-controlled switched systems. J. Franklin Inst., 2001, 338(7), 765-779.
25. Zhang, Y., Liu, X. Z., and Shen, X. M. Stability of switched systems with time delay. Nonlinear Analysis: Hybrid Syst., 2007, 1(1), 44-58.
26. Sun, Y. G., Wang, L., and Xie, G. M. Delaydependent robust stability and stabilization for discrete-time switched systems with mode-dependent time-varying delays. Appl. Math. and Comput., 2006, 180, 428-435.
27. Xie, G. M. and Wang, L. Stabilization of switched linear systems with time-delay in detection of switching signal. J. Math. Anal. and Appl., 2005, 305(6), 277-290. (Pubitemid 40350383)
28. Xie, W., Wen, C., and Li, Z. Input-to-state stabilization of switched nonlinear systems. IEEE Trans. Autom. Control, 2001, 46(7), 1111-1116.
29. Ji, Z., Guo, X., Xu, S., and Wang, L. Stabilization of switched linear systems with time-varying delay in switching occurrence detection. Circuits, Syst. and Signal Processing, 2007, 26(3), 361-367.
30. Xie, D. and Chen, X. Observer-based switched control design for switched linear systems with time-delay in detection of switching signal. IET Control Theory and Applic., 2008, 2(5), 437-445. (Pubitemid 351776420)
31. Liberzon, D. Switching in systems and control, 2003 (Birkhauser, Boston, Massachusetts).
32. Moon, Y. S., Park, P., Kwon, W. H., and Lee, Y. S. Delay-dependent robust stabilization of uncertain state-delayed systems. Int. J. Control, 2001, 74(14), 1447-1455.
33. Cao, Y., Sun, Y., and Cheng, C. Delay dependent robust stabilization of uncertain systems with multiple state delays. IEEE Trans. Autom. Control, 1998, 43(11), 1608-1612. (Pubitemid 128736546)
34. Xie, L. Output feedback H' control of systems with parameter uncertainty. Int. J. Control, 1996, 63(4), 741-750.