Sliding mode control with bounded ℒ 2 gain performance of Markovian jump singular time-delay systems

Automatica

Volumn 48, Issue 8, 2012, Pages 1929-1933

  Wu, Ligang ^a   Su, Xiaojie ^a   Shi, Peng ^b,c  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

Author keywords

Bounded 2 gain performance; Markovian jump systems; Singular systems; Sliding mode control; Time delay

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT; FINITE TIME; GAIN PERFORMANCE; MARKOVIAN JUMP SYSTEMS; MARKOVIAN JUMPS; NUMERICAL EXAMPLE; SINGULAR MATRIX; SINGULAR SYSTEM; SINGULAR TIME DELAY SYSTEM; SLIDING MODE DYNAMICS; SOLVABILITY CONDITIONS; SWITCHING SURFACES; SYSTEM TRAJECTORY; TIME-DELAY SYSTEMS; TRANSIENT PERFORMANCE; UNDERLYING SYSTEMS;

DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; DYNAMICS; NUMERICAL ANALYSIS; SLIDING MODE CONTROL; TIME DELAY;

MARKOV PROCESSES;

EID: 84864426148     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.05.064     Document Type: Article

References (12)

1. R.M. Hirschorn Singular sliding-mode control IEEE Transactions on Automatic Control 46 2001 276 285
2. 2 gain performance: an LMI approach International Journal of Control 78 2005 647 661
3. ∞ control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach IET Control Theory & Applications 1 2007 893 908
4. Y. Niu, D.W.C. Ho, and J. Lam Robust integral sliding mode control for uncertain stochastic systems with time-varying delay Automatica 41 2005 873 880
5. P. Shi, Y. Xia, G.P. Liu, and D. Rees On designing of sliding-mode control for stochastic jump systems IEEE Transactions on Automatic Control 51 2006 97 103
6. V. Utkin Sliding modes in control optimization 1992 Springer-Verlag Berlin
7. M. Wu, Y. He, J.H. She, and G.P. Liu Delay-dependent criteria for robust stability of time-varying delay systems Automatica 40 2004 1435 1439
8. L. Wu, P. Shi, and H. Gao State estimation and sliding mode control of Markovian jump singular systems IEEE Transactions on Automatic Control 55 2010 1213 1219
9. ∞ filtering for 2D Markovian jump systems Automatica 44 2010 1849 1858
10. ℓ∞ filter design for discrete-time singular Markovian jump systems with time-varying delays Information Sciences 181 2011 5534 5547
11. L. Wu, and W.X. Zheng Passivity-based sliding mode control of uncertain singular time-delay systems Automatica 45 2009 2120 2127
12. Y. Xia, and Y. Jia Robust sliding-mode control for uncertain time-delay systems: an LMI approach IEEE Transactions on Automatic Control 48 2003 1086 1092