Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems

Nonlinear Analysis: Hybrid Systems

Volumn 3, Issue 2, 2009, Pages 133-142

  Li, Qing Kui ^a   Zhao, Jun ^a,b   Dimirovski, Georgi M ^c  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c DOGUS UNIVERSITY   (Turkey)

Author keywords

Switched systems; Time delays systems; Tracking control

Indexed keywords

AVERAGE DWELL-TIME APPROACHES; CONTROLLER DESIGNS; FREE-WEIGHTING MATRICES; INTEGRAL CONTROLLERS; LINEAR TIME-VARYING; PIECEWISE LYAPUNOV FUNCTIONAL; SIMULATION EXAMPLES; STABILITY ANALYSIS; SUFFICIENT CONDITIONS; SWITCHED SYSTEMS; SWITCHING LAWS; TIME-DELAYS SYSTEMS; TIME-VARYING DELAYS; TRACKING CONTROL; TRACKING CONTROL PROBLEMS; UNSTABILIZABLE SUBSYSTEMS;

STOCHASTIC CONTROL SYSTEMS; SWITCHING SYSTEMS; SYSTEM STABILITY; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

NAVIGATION;

EID: 61449247156     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2008.11.004     Document Type: Article

References (24)

1. Decarlo R.A., Branicky M.S., Pettersson S., and Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proc. IEEE 88 7 (2000) 1069-1082
2. Narendra K.S., Driollet O.A., Feiler M., and Deorge K. Adaptive control using multiple models switching and tuning. Int. J. Adapt. Control Signal Process. 17 (2003) 87-102
3. Liberzon D. Switching in Systems and Control (2003), Birkhauser, Boston
4. Benzaouia A., De Santis E., Caravani P., and Daraoui N. Constrained control of switching systems: A positive invariance approach. Int. J. Control 80 9 (2007) 1379-1387
5. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Control 43 4 (1998) 475-482
6. Cheng D.Z., Guo L., Lin Y., and Wang Y. Stabilization of switched linear systems. IEEE Trans. Automat. Control 50 8 (2005) 1224-1228
7. Liberzon D., and Morse A.S. Basic problem in stability and design of switched systems. IEEE Control Syst. Mag. 19 5 (1999) 59-70
8. Sun Z.D., and Ge S.S. Analysis and synthesis of switched linear control systems. Automatica 41 2 (2005) 181-195
9. ∞ control for switched systems. Automatica 44 5 (2008) 1220-1232
10. J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time, in: Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, 1999, pp. 2655-2660
11. Ishii H., and Francis B.A. Stabilizing a linear system by switching control with dwell-time. IEEE Trans. Automat. Control 47 12 (2002) 1962-1973
12. G.S. Zhai, B. Hu, K. Yasuda, A. Michel, Stability analysis of switched delayed systems with stable and unstable subsystems: An average dwell time approach, in: Proceedings of the American Control Conference, Chicago, 2000, pp. 200-204
13. Fridman E., and Shaked U. An improved stabilization method for linear time-delay systems. IEEE Trans. Automat. Control 47 11 (2002) 1931-1937
14. Han Q., and Gu K. On robust stability of time delay systems with norm-bounded uncertainty. IEEE Trans. Automat. Control 46 9 (2001) 1426-1431
15. Kolmanovskii V.B., and Richard J.P. Stability of some linear system with delay. IEEE Trans. Automat. Control 44 5 (1999) 984-989
16. Richard J.P. Time-delay systems: On overview of some recent advances and open problems. Automatica 39 10 (2003) 1667-1694
17. 2-gain analysis for switched delay systems: A delay-dependent method. Automatica 42 5 (2006) 1769-1774
18. G. Xie, L. Wang, Stability and stabilization of switched linear systems with state delay: Continuous time case, in: The 16th Mathematical Theory of Networks and Systems Conference, Catholic University of Leuven, 2004
19. Wu C.Z., Teo K.L., Li R., and Zhao Y. Optimal control of switched systems with time delay. Appl. Math. Lett. 19 (2006) 1062-1067
20. C.J. Zhou, K. Ogata, S. Fujii, Adaptive switching control method and its application to tracking control of a robot, in: Proceedings of the 1996 IEEE IECON 22nd Int. Conference on Industrial Electronics, Control, and Instrumentation, vol. 1, 5-10, Aug. 1996, pp. 214-219
21. Schmitendorf W.E., and Barmish B.R. Robust asymptotic tracking for linear systems with unknown parameters. Automatica 22 3 (1986) 355-360
22. Q.K. Li, M. Dimirovski, J. Zhao, Tracking control for switched linear systems with time-delay, in: Proceedings of the 17th IFAC World Congress, Seoul, Corea, July 6-11, 2008, pp. 3901-3906
23. Li Q.K., Zhao J., and Dimirovski M. Robust tracking control for switched linear systems with time-varying delays. IET Control Theory Appl. 2 6 (2008) 449-457
24. Davison E.J. The robust control of a servomechanism problem for linear time-invariant multivariable systems. IEEE Trans. Automat. Control 21 1 (1976) 25-34