Robust H∞ filtering for uncertain Markovian jump systems with mode-dependent time delays

IEEE Transactions on Automatic Control

Volumn 48, Issue 5, 2003, Pages 900-907

  Xu, Shengyuan ^a   Chen, Tongwen ^a   Lam, James ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

H filtering; Linear matrix inequalities; Markovian jump systems; Robust filtering; Time delay systems; Uncertain systems

Indexed keywords

DELAY CONTROL SYSTEMS; ERROR ANALYSIS; LINEAR CONTROL SYSTEMS; MARKOV PROCESSES; MATRIX ALGEBRA; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

MARKOVIAN JUMP SYSTEMS;

SIGNAL FILTERING AND PREDICTION;

EID: 0038293070     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.811277     Document Type: Article

References (17)

1. B. D. O. Anderson and J. B. Moore, Optimal Filtering, Upper Saddle River, NJ: Prentice-Hall, 1979.
2. ∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays," IEEE Trans. Automat. Contr., vol. 46, pp. 1918-1924, Dec. 2001.
3. _, "Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays," J. Optim. Theory Appl., vol. 109, pp. 587-600, 2001.
4. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, ser. SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1994.
5. ∞ control of uncertain Markovian jump systems with time-delay," IEEE Trans. Automat. Contr., vol. 45, pp. 77-83, Jan. 2001.
6. M. H. A. Davis, Markov Models and Optimization. London, U.K.: Chapman and Hall, 1993.
7. ∞ control for linear systems with Markovian jumping parameters," Control Theory Adv. Technol., vol. 9, pp. 457-466, 1993.
8. ∞ filter design for uncertain linear systems with multiple time-varying state delays," IEEE Trans. Signal Processing, vol. 49, pp. 569-576, Mar. 2001.
9. ∞, filtering for a class of uncertain nonlinear systems," Syst. Control Lett., vol. 20, pp. 419-426, 1993.
10. V. Dragan and T. Morozan, "Stability and robust stabilization to linear stochastic systems described by differential equations with Markov jumping and multiplicative white noise," Stoch. Anal. Appl., vol. 20, pp. 33-92, 2002.
11. X. Feng, K. A. Loparo, Y. Ji, and H. J. Chizeck, "Stochastic stability properties of jump linear systems," IEEE Trans. Automat. Control, vol. 37, pp. 38-53, Jan. 1992.
12. ∞ state feedback control for generalized continuous/discrete time-delay system," Automatica, vol. 35, pp. 1443-1451, 1999.
13. ∞ setting," IEEE Trans. Automat. Contr., vol. 36, pp. 152-166, Jan. 1991.
14. K. Reif and R. Unbehauen, "The extended Kaiman filter as an exponential observer for nonlinear systems," IEEE Trans. Signal Processing, vol. 47, pp. 2324-2328, Aug. 1999.
15. Y. Wang, L. Xie, and C. E. De Souza. "Robust control of a class of uncertain nonlinear systems," Syst. Control Lett., vol. 19, pp. 139-149, 1992.
16. ∞ observer design of linear time-delay systems with parametric uncertainty," Syst. Control Lett., vol 42, pp. 303-312, 2001.
17. ∞ filtering for a class of nonlinear systems with state delay and parameter uncertainty," Int. J. Control, vol. 75, pp. 766-774, 2002.