Robust control for uncertain switched non-linear systems with time delay under asynchronous switching

IET Control Theory and Applications

Volumn 3, Issue 8, 2009, Pages 1041-1050

  Xiang, Z R ^a   Wang, R H ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL EXAMPLE; SUFFICIENT CONDITIONS; SWITCHED NON-LINEAR SYSTEMS; SWITCHED SYSTEM; SWITCHING LAW; TIME-DELAYS;

CONTROLLERS; LAWS AND LEGISLATION; LINEAR SYSTEMS; NONLINEAR SYSTEMS; ROBUST CONTROL; SWITCHING; SWITCHING NETWORKS; TIME DELAY;

DELAY CONTROL SYSTEMS;

EID: 68849117961     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2008.0150     Document Type: Article

References (24)

1. Varaiya, P.: ' Smart cars on smart roads: problems of control ', IEEE Trans. Autom. Control, 1993, 38, (2), p. 195-207 0018-9286
2. Wang, W., and Brockett, R.W.: ' Systems with finite communication bandwidth constraints - part I: state estimation problems ', IEEE Trans. Autom. Control, 1997, 42, (9), p. 1294-1299 0018-9286
3. 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), p. 509-521 0018-9286
4. Sun, Z., and Ge, S.S.: ' Analysis and synthesis of switched linear control systems ', Automatica, 2005, 41, (2), p. 181-195 0005-1098
5. Cheng, D., Guo, L., Lin, Y., and Wang, Y.: ' Stabilization of switched linear systems ', IEEE Trans. Autom. Control, 2005, 50, (5), p. 661-666 0018-9286
6. Sun, Z.: ' Combined stabilizing strategies for switched linear systems ', IEEE Trans. Autom. Control, 2006, 51, (4), p. 666-674 0018-9286
7. Lin, H., and Antsaklis, P.J.: ' Stability and stability of switched linear systems: a short survey of recent results ', Proc. Int. Symp. Intell. Control, Limassol, Cyprus, June, 2005, p. 24-29
8. Sun, Z.: ' A robust stabilizing law for switched linear systems ', Int. J. Control, 2004, 77, (4), p. 389-398 0020-7179
9. Hespanha, J.P.: ' Uniform stability of switched linear systems: extension of LaSalle's invariance principle ', IEEE Trans. Autom. Control, 2004, 48, (4), p. 470-482 0018-9286
10. 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), p. 154-168 0018-9286
11. Pettersson, S.: ' Observer design for switched systems using multiple quadratic Lyapunov functions ', Proc. Int. Symp. Intell. Control, Limassol, Cyprus, June, 2005, p. 262-267
12. De Persis, C., De Santis, R., and Morse, A.S.: ' Switched nonlinear systems with state-dependent dwell-time ', Syst. Control Lett., 2003, 50, (4), p. 291-302 0167-6911
13. Wang, R., and Zhao, J.: ' Guaranteed cost control for a class of uncertain switched delay systems: an average dwell-time method ', Cybern. Syst., 2007, 38, (1), p. 105-122
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 ', Proc. American Control Conf., Minneapolis, Minnesota, USA, June, 2006, p. 1539-1543
15. De Persis, C., De Santis, R., and Morse, A.S.: ' Nonlinear switched systems with state dependent dwell-time ', Proc. Conf. Decis. Control, Las Vegas, Nevada, USA, December, 2002, p. 4419-4424
16. ∞ control for jump linear system with interval time-varying delay ', Proc. Chinese Control Conf., 2007, p. 609-614
17. Guo, J.F., and Gao, C.C.: ' Output variable structure control for time-invariant linear time-delay singular system ', J. Syst. Sci. Complexity, 2007, 20, (3), p. 454-460
18. Wang, C.H., Zhang, L.X., Gao, H.J., and Wu, L.G.: ' Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems ', Int. Conf Mach. Learn. Cybern., Guangzhou, People's Republic of China, August, 2005, p. 917-922
19. Gao, F.Y., Zhong, S.M., and Gao, X.Z.: ' Delay-dependent stability of a type of linear switching systems with discrete and distributed time delays ', Appl. Math. Comput., 2008, 196, (1), p. 24-39 0096-3003
20. 2-gain analysis for switched delay systems: a delay-dependent method ', Automatica, 2006, 42, (10), p. 1769-1774 0005-1098
21. Zhang, L.X., Wang, C.H., and Gao, H.J.: ' Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems ', J. Syst. Eng. Electron., 2007, 18, (2), p. 320-326 1004-4132
22. Zhang, Y., Liu, X.Z., and Shen, X.M.: ' Stability of switched systems with time delay ', Nonlinear Anal.: Hybrid Syst., 2007, 1, (1), p. 44-58
23. Cong, S., Fei, S.M., and Li, T.: ' Exponential stability analysis for the switched system with time delay: multiple Lyapunov functions approach ', Acta Autom. Sin., 2007, 33, (9), p. 985-988, (in Chinese) 0254-4156
24. Xie, D., Wang, L., and Hao, F.: ' Robust stability analysis and control synthesis for discrete-time uncertain switched systems ', Proc. Conf. Decision and Control, Hyatt Regency Maui, Hawaii, USA, December, 2003, p. 4812-4817