Stochastic stability and robust control for sampled-data systems with Markovian jump parameters

Journal of Mathematical Analysis and Applications

Volumn 313, Issue 2, 2006, Pages 504-517

  Hu, Lisheng ^a   Shi, Peng ^b   Huang, Biao ^c  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Linear matrix inequality; Markovian jump system; Robust control; Sampled data system; Stochastic stability

Indexed keywords

EID: 28244486821     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.08.019     Document Type: Article

References (36)

1. ∞ control for Markovian jump nonlinear systems IMA J. Math. Control Inform. 17 2000 295-308
2. M. Araki Y. Ito T. Hagiwara Frequency response of sampled-data systems Automatica 32 1996 483-497
3. E.K. Boukas Stabilization of stochastic nonlinear hybrid systems Int. J. Innovative Computing, Information and Control 1 2005 131-141
4. E.K. Boukas Control of Systems with Controlled Jump Markov Disturbances Control-Theory Adv. Tech. 9 1993 577-595
5. ∞ sampled-data control IEEE Trans. Automat. Control 37 1992 418-435
6. ∞-control for linear time-delay systems with Markovian jumping parameters J. Optim. Theory Appl. 105 2000 73-95
7. E.K. Boukas P. Shi Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters Internat. J. Robust Nonlinear Control 8 1998 1155-1167
8. T. Chen B. Francis Optimal Sampled-data Control Systems 1995 Springer
9. ∞ design of general multirate sampled-data control systems Automatica 30 1994 1139-1152
10. ∞ -control of discrete-time Markovian jump linear systems IEEE Trans. Automat. Control 43 1998 95-100
11. V. Dragan The linear quadratic optimization problem for a class of singularly perturbed stochastic systems Int. J. Innovative Computing, Information and Control 1 2005 53-63
12. D.E. Dullerud K. Glover Robust performance of periods systems IEEE Trans. Automat. Control 41 1996 1146-1159
13. X. Feng K.A. Loparo Y. Ji H.J. Chizeck Stochastic stability properties of jump linear systems IEEE Trans. Automat. Control 37 1992 38-53
14. ∞ control: The discrete-time case Control-Theory Adv. Tech. 10 1995 1459-1474
15. ∞ filtering for polytopic discrete-time systems IEEE Trans. Signal Process. 53 2005 3183-3192
16. ∞ filtering for a class of uncertain nonlinear time-delayed systems IEEE Trans. Automat. Control 48 2003 1661-1666
17. T. Hagiwara M. Araki Design of a stable state feedback controller based on the multirate sampling of the plant output IEEE Trans. Automat. Control 33 1988 812-819
18. S. Hara, Y. Yamamoto, H. Fujioka, Modern and classical analysis/ synthesis methods in sampled-data control - A brief overview with numerical examples, in: Proc. 35th IEEE Conf. Decision Control, 1996, pp. 1251-1256
19. L.-S. Hu Y.-Y. Cao H.-H. Shao Constrained robust sampled-data control for nonlinear uncertain systems Internat. J. Robust Nonlinear Systems 12 2002 447-464
20. L.-S. Hu J. Lam Y.-Y. Cao H.-H. Shao LMI approach to robust H 2 sampled-data control for linear uncertain systems IEEE Trans. Syst. Man Cyber. Part B 33 2003 149-155
21. Y. Halevi A. Ray Integrated communication and control systems: Part I-analysis and part II-design consideration ASME J. Dyn. Syst. Meas. Contr. 110 1988 367-381
22. Y. Ji H.J. Chizeck X. Feng K.A. Loparo Stability and control of discrete-time jump linear systems Control-Theory Adv. Tech. 7 1991 247-270
23. P.T. Kabamba S. Hara Worst case analysis and design of sampled-data control systems IEEE Trans. Automat. Control 38 1993 1337-1357
24. M.H. Khammash Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems IEEE Trans. Automat. Control 38 1993 49-57
25. H.J. Kushner Stochastic Stability and Control 1967 Academic Press New York
26. S.G. Lall G.E. Dullerud An LMI solution to the robust synthesis problem for multi-rate sampled-data systems Automatica 37 2001
27. S.K. Nguang P. Shi Fuzzy H-infinity output feedback control of nonlinear systems under sampled measurements Automatica 39 2003 2169-2174
28. ∞ filtering of nonlinear sampled-data systems Automatica 36 2000 303-310
29. 2-optimal design of multirate sampled-data systems IEEE Trans. Automat. Control 39 1994 2506-2511
30. P. Shi Filtering on sampled-data systems with parametric uncertainty IEEE Trans. Automat. Control 43 1998 1022-1027
31. P. Shi Robust control of linear continuous time-delay systems with finite discrete jumps and norm-bounded uncertainties Internat. J. Systems Sci. 29 1998 1381-1392
32. ∞ control for Markovian jumping linear systems with parametric uncertainty J. Optim. Theory Appl. 95 1997 75-99
33. P. Shi E.K. Boukas R.K. Agarwal Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delays IEEE Trans. Automat. Control 44 1999 2139-2144
34. N. Sivashankar P.P. Khargonekar Robust stability and performance analysis of sampled-data systems IEEE Trans. Automat. Control 38 1993 58-69
35. 2 control of hybrid multirate systems Systems Control Lett. 20 1993 249-261
36. Y. Yamamoto P.P. Khargonekar Frequency response of sampled-data systems IEEE Trans. Automat. Control 41 1996 166-176