Sliding-mode control of switched delay systems with nonlinear perturbations: Average dwell time approach

Nonlinear Dynamics

Volumn 62, Issue 4, 2010, Pages 791-798

  Lian, Jie ^b   Wang, Min ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

^b NONE

Author keywords

Average dwell time; Sliding mode control; Uncertain switched delay systems

Indexed keywords

AVERAGE DWELL TIME; AVERAGE DWELL-TIME APPROACH; DESIGN PROCESS; FINITE TIME; NONLINEAR PERTURBATIONS; NUMERICAL EXAMPLE; REDUCED ORDER; SLIDING MODES; SLIDING SURFACE; SWITCHED DELAY SYSTEMS; SWITCHING LAW; UNCERTAIN SWITCHED SYSTEMS; VARIABLE STRUCTURE CONTROLLER;

SLIDING MODE CONTROL; SWITCHING SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 78049477110     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9763-x     Document Type: Article

References (30)

1. Y.H. Roh J.H. Oh 1999 Robust stabilization of uncertain input-delay system by sliding-mode control with delay compensation Automatica 35 1861-1865 10.1016/S0005-1098(99)00106-5 1831769 (Pubitemid 32078098)
2. H.H. Choi 2007 LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems IEEE Trans. Autom. Control 52 736 741 10.1109/TAC.2007.894543 (Pubitemid 46621601)
3. Q. Hu G. Ma L. Xie 2008 Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity Automatica 44 552 559 10.1016/j.automatica.2007.06.024 2530805
4. M. Zhang Z. Yu H. Huan Y. Zhou 2008 The sliding mode variable structure control based on composite reaching law of active magnetic bearing ICIC Express Lett. 2 1 59 63
5. L. Acho F. Pozo 2009 Sliding mode control of hysteretic structural systems Int. J. Innov. Comput. Inf. Control 5 4 1081 1088
6. Y. Xia Y. Jia 2003 Robust sliding-mode control for uncertain time-delay systems: an LMI approach IEEE Trans. Autom. Control 48 1086 1092 10.1109/TAC.2002.808494 1986284
7. W. Xiang F. Chen 2009 Sliding mode control strategies for the hyper chaotic MCK system ICIC Express Lett. 3 3(A) 283 288
8. G. Bartolini E. Punta T. Zolezzi 2004 Simplex methods for nonlinear uncertain sliding-mode control IEEE Trans. Autom. Control 49 922 933 10.1109/TAC.2004.829617 2064366
9. C.H. Chou C.C. Cheng 2003 A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems IEEE Trans. Autom. Control 48 1213 1217 10.1109/TAC.2003.814263 1988091
10. H. Xing D. Li X. Zhong 2009 Sliding mode control for a class of parabolic uncertain distributed parameter systems with time-varying delays Int. J. Innov. Comput. Inf. Control 5 9 2689 2702
11. K.S. Narendra J. Balakrishnan 1994 A common Lyapunov function for stable LTI systems with com-muting a-matrices IEEE Trans. Autom. Control 39 2469 2471 0825.93668 10.1109/9.362846 1337573
12. Liberzon, D.: Switching in Systems and Control. Birkhauser, Boston (2003)
13. D. Wang W. Wang P. Shi 2009 Robust fault detection for discrete-time switched linear systems with state delays IEEE Trans. Syst. Man Cybern., Part B, Cybern. 39 3 800 805 10.1109/TSMCB.2008.2007498
14. Y.G. Sun L. Wang 2008 Stabilization of planar discrete-time switched systems: switched Lyapunov functional approach Nonlinear Anal., Hybrid Syst. 2 1062 1068 1163.93380 10.1016/j.nahs.2008.09.004 2478389
15. ∞ control for switched systems Automatica 44 5 1220 1232 10.1016/j.automatica.2007.10.011 2531787
16. ∞ control and stabilization of uncertain switched linear systems: a multiple Lyapunov functions approach ASME J. Dyn. Syst. Meas. Control 128 3 696 700 10.1115/1.2238874 (Pubitemid 44578576)
17. G. Zhai B. Hu K. Yasuda A.N. Michel 2000 Piecewise Lyapunov functions for switched systems with average dwell time Asian J. Control 2 192 179 10.1111/j.1934-6093.2000.tb00157.x
18. C.D. Persis R.D. Santis A.S. Morse 2003 Switched nonlinear systems with state-dependent dwell-time Syst. Control Lett. 50 291 30 1157.93510 10.1016/S0167-6911(03)00161-0
19. C. Meyer S. Schroder R.W.D. Doncker 2004 Solid-state circuit breakers and current limiters for medium for medium-voltage systems having distributed power systems IEEE Trans. Power Electron. 19 1333 1340 10.1109/TPEL.2004.833454
20. ∞ control of systems over communication networks using a deterministic switching system approach Automatica 40 1205 1212 1056.93527 10.1016/j.automatica.2004.01. 024 2148315
21. G. Xie L. Wang 2005 Stabilization of switched linear systems with time-delay in detection of switching signal J. Math. Anal. Appl. 305 1 277 290 1140.93463 10.1016/j.jmaa.2004.11.043 2128127 (Pubitemid 40350383)
22. ∞ filtering for switched linear systems with interval time-varying delay Int. J. Robust Nonlinear Control 19 532 551 1160.93328 10.1002/rnc.1334 2494823
23. L. Hetel J. Daafouz C. Iung 2006 Stabilization of arbitrary switched linear systems with unknown time-varying delay IEEE Trans. Autom. Control 51 1668 1674 10.1109/TAC.2006.883030 2262069 (Pubitemid 44593672)
24. V.N. Phat 2005 Robust stability and stabilizability of uncertain linear hybrid systems with state delays IEEE Trans. Circuits Syst., II Express Briefs 52 94 98 10.1109/TCSII.2004.840115 (Pubitemid 40319483)
25. S. Kim S.A. Campbell X. Liu 2006 Stability of a class of linear switching systems with time delay IEEE Trans. Circuits Syst., I Regul. Pap. 53 384 393 10.1109/TCSI.2006.885987 2211992 (Pubitemid 46002250)
26. ∞ SMC of uncertain switched systems with time delay. In: 2008 American Control Conference, pp. 4803-4808, Washington, DC, 11-13 June 2008
27. L. Wu J. Lam 2008 Sliding mode control of switched hybrid systems with time-varying delay Int. J. Adapt. Control Signal Process. 22 909 931 10.1002/acs.1030 2574392
28. Hespanha, J.P., Morse, A.S.: Stability of switched systems with average dwell-time. In: Proceedings of the 38th IEEE Conference on Decision and Control, pp. 2655-2660, Phoenix, AZ (1999)
29. Hale, J., Lunel, S.M.V.: Introduction to Functional Differential Equations. Springer, New York (1993)
30. H.G. Kwatny C. Teolis M. Mattice 2002 Variable structure control of systems with uncertain nonlinear friction Automatica 38 1251 1256 1001.93009 10.1016/S0005-1098(02)00011-0 2133488 (Pubitemid 34524685)