Controller synthesis for Markovian jump systems with incomplete knowledge of transition probabilities and actuator saturation

Journal of the Franklin Institute

Volumn 348, Issue 9, 2011, Pages 2417-2429

  Wang, Yijing ^a   Wang, Chunhui ^a   Zuo, Zhiqiang ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATOR SATURATIONS; CONTROLLER SYNTHESIS; INCOMPLETE KNOWLEDGE; INVARIANT SET; LMI CONSTRAINTS; MARKOVIAN JUMP SYSTEMS; MEAN SQUARE; NUMERICAL EXAMPLE; OPTIMIZATION PROBLEMS; STOCHASTIC STABILITY; TRANSITION PROBABILITIES; WEIGHTING MATRICES;

ACTUATORS; NUMERICAL METHODS; PROBABILITY;

MARKOV PROCESSES;

EID: 80053600847     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.07.005     Document Type: Article

References (35)

1. D. Liu, and A.N. Michel Dynamical Systems With Saturation Nonlinearities: Analysis and Design 1994 Springer-Verlag London, UK
2. D.S. Bernstein, and A.N. Michel A chronological bibliography on saturating actuators International Journal of Robust and Nonlinear Control 5 1995 375 380
3. Z. Lin Low Gain Feedback 1999 Springer London, UK
4. T. Hu, and Z. Lin Control Systems with Actuator Saturation: Analysis and Design 2001 Birkhauser Boston
5. Y.Y. Cao, Z. Lin, and Y. Shamash Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation Systems and Control Letters 46 2 2002 137 151 (Pubitemid 34524836)
6. Z.Q. Zuo, and Y.J. Wang An improved set invariance analysis and gain-scheduled control of LPV systems subject to actuator saturation Circuits, Systems and Signal Processing 26 5 2007 635 649
7. L. Zhang, E.K. Boukas, and A. Haidar Delay-range-dependent control synthesis for time-delay systems with actuator saturation Automatica 44 10 2008 2691 2695
8. Z.Q. Zuo, and Y.J. Wang On enlarging the domain of attraction for linear systems subject to actuator saturation International Journal of General Systems 37 2 2008 239 248
9. Z.Q. Zuo, D.W.C. Ho, and Y.J. Wang Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation Automatica 46 3 2010 569 576
10. E.K. Boukas, and P. Shi Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters International Journal of Robust and Nonlinear Control 8 13 1998 1155 1167 (Pubitemid 128632068)
11. P. Shi, E.K. Boukas, and R.K. Agarwal Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay IEEE Transactions on Automatic Control 44 11 1999 2139 2144 (Pubitemid 30531659)
12. H ∞ control of uncertain Markovian jumping systems with time-delay IEEE Transactions on Automatic Control 45 1 2000 77 83 (Pubitemid 30581599)
13. E.K. Boukas, and Z.K. Liu Deterministic and Stochastic Time Delay Systems 2002 Birkhauser Boston
14. E.K. Boukas Stochastic Switching System: Analysis and Design 2005 Birkhauser Boston
15. M. Karan, P. Shi, and C.Y. Kaya Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems Automatica 42 12 2006 2159 2168 (Pubitemid 44647194)
16. 2 control of continuous-time Markov jump linear systems Automatica 44 5 2008 1431 1436
17. H ∞ control for discrete-time Markov jump linear systems with actuator failures Journal of Systems Engineering and Electronics 19 5 2008 965 973
18. J.L. Liang, J. Lam, and Z. Wang State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates Physics Letters A 373 47 2009 4328 4337
19. H ∞ estimation for piecewise homogeneous Markov jump linear systems Automatica 45 11 2009 2570 2576
20. M. Liu, D.W.C. Ho, and Y. Niu Stabilization of Markovian jump linear system over networks with random communication delay Automatica 45 2 2009 416 421
21. H ∞ guaranteed cost control for uncertain Markovian jump systems with mode-dependent distributed delays and input delays Journal of the Franklin Institute 346 10 2009 945 957
22. H ∞ analysis for uncertain Markovian jump systems with time-varying delays Journal of the Franklin Institute 347 5 2010 863 874
23. H. Zhang, H. Yan, and Q. Chen Stability and dissipative analysis for a class of stochastic system with time-delay Journal of the Franklin Institute 347 5 2010 882 893
24. Q. Zhu, X. Yang, and H. Wang Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances Journal of the Franklin Institute 347 8 2010 1489 1510
25. H. Li, Q. Zhou, B. Chen, and H. Liu Parameter-dependent robust stability for uncertain Markovian jump systems with time delay Journal of the Franklin Institute 348 4 2011 738 748
26. J.L. Xiong, J. Lam, H.J. Gao, and D.W.C. Ho On robust stabilization of Markovian jump systems with uncertain switching probabilities Automatica 41 5 2005 897 903 (Pubitemid 40352404)
27. L.X. Zhang, E.K. Boukas, and J. Lam Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities IEEE Transactions on Automatic Control 53 10 2008 2458 2464
28. L.X. Zhang, and E.K. Boukas Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities Automatica 45 5 2009 463 468
29. L. Zhang, and J. Lam Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions IEEE Transactions on Automatic Control 55 7 2010 1695 1704
30. Y. Zhang, Y. He, M. Wu, and J. Zhang Stabilization of Markovian jump systems with partial information on transition probability based on free-connection weighting matrices Automatica 47 1 2011 79 84
31. E.K. Boukas Stochastic output feedbak of uncertain time-delay systems with saturating actuators Journal of Optimization Theory and Applications 118 2 2003 255 273
32. O.L.V. Costa, E.O.A. Filho, E.K. Boukas, and R.P. Marques Constrained quadratic state feedback control of discrete-time Markovian jump linear systems Automatica 35 4 1999 617 626
33. H.P. Liu, E.K. Boukas, F.C. Sun, and D.W.C. Ho Controller design for Markov jumping systems subject to actuator saturation Automatica 42 3 2006 459 465 (Pubitemid 43131456)
34. H.P. Liu, F.C. Sun, and E.K. Boukas Robust control of uncertain discrete-time Markovian jump systems with actuator saturation International Journal of Control 79 7 2006 805 812
35. Y.J. Wang, Z.Q. Zuo, Y.L. Cui, Stochastic stabilization of Markovian jump systems in the presence of partial unknown transition probabilities and actuator saturation, in: Proceedings of the 29th Chinese Control Conference, 2010, pp. 723727.