Asynchronous finite-time stabilisation of switched systems with average dwell time

IET Control Theory and Applications

Volumn 6, Issue 9, 2012, Pages 1213-1219

  Liu, H ^a   Shen, Y ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE DWELL TIME; CLOSED-LOOP; FEEDBACK STATE; SUFFICIENT CONDITIONS; SWITCHED SYSTEM; SWITCHING SIGNALS;

FEEDBACK; LINEAR MATRIX INEQUALITIES; STABILIZATION;

SWITCHING SYSTEMS;

EID: 84870288803     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2011.0224     Document Type: Article

References (24)

1. Lin, H., and Antsaklis, P.J.: ' Stability and stabilizability of switched linear systems: a survey of recent results ', IEEE Trans. Autom. Control, 2009, 54, (2), p. 308-322 10.1109/TAC.2008.2012009 0018-9286
2. Liberzon, D., and Morse, A.S.: ' Basic problems in stability and design of switched systems ', IEEE Control Syst. Mag., 1999, 19, (5), p. 59-70 10.1109/37.793443 0272-1708 (Pubitemid 30505850)
3. Sun, Z.D., and Ge, S.S.: ' Analysis and synthesis of switched linear control systems ', Automatica, 2005, 41, (2), p. 181-195 10.1016/j.automatica. 2004.09.015 0005-1098 (Pubitemid 41536568)
4. ∞ control of switched delay systems via dynamic output feedback ', IET Control Theory Appl., 2009, 10, (3), p. 1425-1436 10.1049/iet-cta.2008.0315
5. Zappavigna, A., Colaneri, P., Geromel, J.C., and Shorten, R.: ' Dwell time analysis for continuous-time switched linear positive systems ', Proc. 2010 American Control Conf., Baltimore, 2010, p. 6256-6261
6. ∞ static output feedback control for discrete-time switched linear systems with average dwell time ', IET Control Theory Appl., 2009, 4, (3), p. 381-390 10.1049/iet-cta.2008.0481
7. Zhang, D., Yu, L., and Zhang, W.: ' Delay-dependent fault detection for switched linear systems with time-varying delays - the average dwell time approach ', Signal Processing, 2011, 91, p. 832-840 10.1016/j.sigpro.2010.08.016
8. Zhao, X., Zhang, L., Shi, P., and Liu, M.: ' Stability and stabilization of switched linear systems with mode-dependent average dwell time ', IEEE Trans. Autom. Control, 2011, (accepted for publication). DOI: 10.1109/TAC.2011.2178629 10.1109/TAC.2011.2178629 0018-9286
9. Richard, J.P.: ' Time-delay systems: an overview of some recent advances and open problems ', Automatica, 2003, 39, pp. 1667-1694 10.1016/S0005-1098(03) 00167-5 0005-1098
10. Xie, D., Chen, X., Lv, L., and Xu, N.: ' Asymptotical stabilisability of networked control systems: time-delay switched system approach ', IET Control Theory Appl., 2008, 2, (9), p. 743-751 10.1049/iet-cta:20070402
11. Fridman, E., and Shaked, U.: ' An improved stabilization method for linear time-delay systems ', IEEE Trans. Autom. Control, 2002, 47, (11), p. 1931-1937 10.1109/TAC.2002.804462 0018-9286 (Pubitemid 35426901)
12. ∞ control for uncertain discrete-time switched systems with mode-dependent time delays ', Appl. Math. Comput. Sci., 2007, 187, (2), p. 1228-1237 10.1016/j.amc.2006.09.053 0867-857X (Pubitemid 46627908)
13. Xie, D., and Wu, Y.: ' Stabilisation of time-delay switched systems with constrained switching signals and its applications in networked control systems ', IET Control Theory Appl., 2010, 4, (10), p. 2120-2128 10.1049/iet-cta.2009. 0016
14. Zhao, X., Zhang, L., and Shi, P.: ' Stability of a class of switched positive linear time-delay systems ', Int. J. Robust Nonlinear Control., 2011, DOI: 10.1002rnc.2777 10.1002/rnc.2777 1049-8923
15. Xiang, Z.R., and Wang, R.H.: ' Robust control for uncertain switched non-linear systems with time delay under asynchronous switching ', IET Control Theory Appl., 2009, 3, (8), p. 1041-1050 10.1049/iet-cta.2008.0150
16. Zhang, L.X., and Gao, H.J.: ' Asynchronously switched control of switched linear systems with average dwell time ', Automatica, 2010, 46, p. 953-958 10.1016/j.automatica.2010.02.021 0005-1098
17. 2-gain and asynchronous control of discrete-time switched systems with average dwell time ', IEEE Trans. Autom. Control, 2009, 54, (9), p. 2193-2200 0018-9286
18. Vu, L., and Morgansen, K.A.: ' Stability of time-delay feedback switched linear systems ', IEEE Trans. Autom. Control, 2010, 55, (10), p. 2385-2390 10.1109/TAC.2010.2053750 0018-9286
19. Michel, A.N., and Wu, S.H.: ' Stability of discrete systems over a finite interval of time ', Int. J. Control., 1969, 9, p. 679-693 10.1080/ 00207176908905789 0020-7179
20. Weiss, L., and Infante, E.F.: ' Finite time stability under perturbing forces and on product spaces ', IEEE Trans. Autom. Control., 1967, 12, (1), p. 54-59 10.1109/TAC.1967.1098483 0018-9286
21. 2-gain analysis for switched delay systems with norm-bounded disturbance ', Appl. Math. Comput., 2011, 217, p. 5982-5993 10.1016/j.amc.2010. 12.032 0096-3003
22. ∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance ', J. Franklin Inst., 2011, 348, p. 331-352 10.1016/j.jfranklin.2010.12.001 0016-0032
23. 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 Appl., 2008, 2, (5), p. 437-445 10.1049/iet-cta:20070212 (Pubitemid 351776420)
24. Hespanha, J.P., and Morse, A.S.: ' Stability of switched systems with average dwell-time ', Proc. IEEE Conf. on Decision and Control, 1999, p. 2655-2660 (Pubitemid 30575356)