Robust finite-time H∞ control for Markovian jump systems with partially known transition probabilities

Journal of the Franklin Institute

Volumn 350, Issue 6, 2013, Pages 1562-1578

  Zong, Guangdeng ^a   Yang, Dong ^a   Hou, Linlin ^a   Wang, Qingzhi ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE TIME BOUNDEDNESS (FTB); FINITE-TIME H; MARKOVIAN JUMP SYSTEMS; NUMERICAL EXAMPLE; STATE FEEDBACK CONTROLLER; STATE-FEEDBACK STABILIZATION; SUFFICIENT CONDITIONS; TRANSITION PROBABILITIES;

LINEAR MATRIX INEQUALITIES; MARKOV PROCESSES; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84878251545     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2013.04.003     Document Type: Article

References (28)

1. W.H. Chen, J.X. Xu, and Z.H. Guan Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays IEEE Transactions on Automatic Control 48 12 2003 2270 2277
2. L.J. Shen, and U. Buscher Solving the serial batching problem in job shop manufacturing systems European Journal of Operational Research 221 1 2012 14 26
3. ∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: an LMI approach Information Sciences 177 7 2007 1699 1714
4. M. Athans Command and control theory a challenge to control science IEEE Transactions on Automatic Control 32 4 1987 286 293
5. H.N. Wu, and K.Y. Cai Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control IEEE Transactions on Systems, Man and Cybernetics, Part B Cybernetics 36 3 2006 509 519
6. H.N. Wu, and K.Y. Cai Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations Information Sciences 177 6 2007 1509 1522
7. F. Liu, and Y. Cai Passive analysis and synthesis of Markovian jump systems with norm bounded uncertainty and unknown delay Dynamics of Continuous, Discrete & Impulsive Systems. Series A Mathematical Analysis 13A 1 2006 157 166
8. M. Liu, D.W.C. Ho, and Y.G. Niu Stabilization of Markovian jump linear system over networks with random communication delay Automatica 45 2 2009 416 421
9. L.X. Zhang, and E.K. Boukas Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities Automatica 45 2 2009 463 468
10. X.L. Luan, F. Liu, and P. Shi Finite-time filtering for non-linear stochastic systems with partially known transition jump rates IET Control Theory & Applications 4 5 2010 735 745
11. Y.Y. Yin, F. Liu, and P. Shi Finite-time gain-scheduled control on stochastic bioreactor systems with partially known transition jump rates Circuits, Systems and Signal Processing 30 3 2011 609 627
12. Y. Zhang, Y. He, M. Wu, and J. Zhang Stabilization for Markovian jump systems with partial information on transition probability based on free-weighting matrices Automatica 47 1 2011 79 84
13. P. Dorato, Short time stability in linear time-varying systems, in: Proceedings of the IRE International Convention, Record Part 4, New York, 1961, pp. 83-87.
14. L. Weiss, and E.F. Infante Finite-time stability under perturbing forces and on product spaces IEEE Transactions on Automatic Control 12 1 1967 54 59
15. F. Amato, M. Ariola, C.T. Abdallah, Dynamic output feedback finite-time control of LIT systems subject to parametric uncertainties and disturbances, in: Proceedings of the European Control Conference, Berlin, 1999, pp.1176-1180.
16. F. Amato, and M. Ariola Finite-time control of discrete-time linear systems IEEE Transactions on Automatic Control 50 5 2005 724 729
17. ∞ control for uncertain fuzzy Markovian jump systems International Journal of Control, Automation and Systems 7 4 2009 520 529
18. ∞ control for uncertain linear Markovian jump systems with time-delays Automatica 37 7 2001 1141 1146
19. ∞ filtering for neutral Markov jump systems Applied Mathematics and Computation 206 1 2008 175 185
20. S.P. He, and F. Liu Stochastic finite-time stabilization for uncertain jump systems via state feedback Journal of Dynamic Systems, Measurement and Control 132 3 2010 034504
21. ∞ control of stochastic jump systems International Journal of Control, Automation and Systems 8 9 2010 1336 1341
22. ∞ control for extended Markov jump nonlinear systems International Journal of Adaptive Control and Signal Processing 24 7 2010 554 567
23. H.Y. Li, Q. Zhou, B. Chen, and H.H. Liu Parameter-dependent robust stability for uncertain Markovian jump systems with time delay Journal of the Franklin Institute 348 4 2011 738 748
24. Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Transactions on Automatic Control 54 7 2009 1668 1674
25. ∞ control of networked control systems with random time delays in both forward and backward communication links Automatica 47 4 2011 754 760
26. ∞ filtering for nonlinear stochastic systems with uncertainties and Markov delays Automatica 48 1 2012 159 166
27. X.R. Mao Stability of stochastic differential equations with Markovian switching Stochastic processes and their Applications 79 1 1999 45 67
28. Y.Y. Wang, L.H. Xie, and C.E. Souza Robust control of a class of uncertain nonlinear systems Systems and Control Letters 19 2 1992 139 149