Reliable stabilization of stochastic time-delay systems with nonlinear disturbances

International Journal of General Systems

Volumn 34, Issue 5, 2005, Pages 523-535

  Wang, Zidong ^a,b,c,d   Shu, Huisheng ^a   Liu, Xiaohui ^b,e,f  

^a DONGHUA UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

^c FUZHOU UNIVERSITY   (China)

^d IEEE   (United Kingdom)

^e Donghua University ^*

^f Intelligent Data Analysis Group

Author keywords

Actuator failures; Lyapunov stability; Nonlinear systems; Stochastic systems; Time delay; Uncertain systems

Indexed keywords

ACTUATOR FAILURES; LYAPUNOV STABILITY; STOCHASTIC SYSTEMS; TIME-DELAY;

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; DELAY CIRCUITS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

NONLINEAR SYSTEMS;

EID: 27544491728     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070500229678     Document Type: Article

References (24)

1. E.K. Boukas and Z.-K. Liu, Deterministic and Stochastic Time-delay Systems, Boston: Birkhauser, 2002.
2. C.D. Charalambous, "Stochastic nonlinear minimax dynamic games with noisy measurements", IEEE Trans. Automat. Control, 48(2), pp. 261-266, 2003.
3. H. Deng and M. Krstic, "Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance", Syst. Control Lett., 39, pp. 173-182, 2000.
4. H. Deng, M. Krstic and R. Williams, "Stabilization of stochastic nonlinear systems driven by noise of unknown covariance", IEEE Trans. Automat. Control, 46, pp. 1237-1253, 2001.
5. A. Friedman, Stochastic Differential Equations and their Applications, New York: Academic Press, 1976.
6. Y. Fu and X. Liao, "BIBO stabilization of stochastic delay systems with uncertainty", IEEE Trans. Automat. Contr., 48(1), pp. 133-138, 2003.
7. P. Gahinet, A. Nemirovsky, A.J. Laub and M. Chilali, LMI Control Toolbox: for Use with Matlab, 1995, The MATH Works Inc.
8. D.W. C. Ho and G. Lu, "Robust stabilization for a class of discrete-time nonlinear systems via output feedback: the unified LMI approach", Int. J. Contr., 76(2), pp. 105-115, 2003.
9. Y. Liu, Z. Pan and S. Shi, "Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost", IEEE Trans. Automat. Contr., 48(3), pp. 509-513, 2003.
10. W.M. McEneaney, G. Yin and Q. Zhang, Stochastic Analysis, Control, Optimization and Applications, Systems, and Control: Foundations and Applications series, Boston, Cambridge MA, Birkhauser, 1999.
11. A. Saberi and P. Sannuti, "Observer-based control of uncertain systems with nonlinear uncertainties", Int. J. Control, 52(5), pp. 1107-1130, 1990.
12. 2 Optimal Control, Series in Systems and Control Engineering, London: Prentice Hall International, 1995.
13. ∞, control for linear systems with parameter uncertainty and actuator failure", Automatica, 32, pp. 465-467, 1997.
14. ∞ control for Markovian jumping linear systems with parametric uncertainties", J. Optimization Theory Appl., 95(1), pp. 75-99, 1997.
15. P. Shi, E.K. Boukas and Y. Shi, "On stabilization of discrete-time Markovian jump systems with delay in state", Stoch. Anal. Appl., 21(4), pp. 935-951, 2003.
16. Z. Wang and K.J. Burnham, "Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation", IEEE Trans. Signal Processing, 49, pp. 794-804, 2001.
17. Z. Wang and H. Qiao, "Robust filtering for bilinear uncertain stochastic discrete-time systems", IEEE Trans. Signal Processing, 50(3), pp. 560-567, 2002.
18. Z. Wang, B. Huang and H. Unbehauen, "Robust reliable control for a class of uncertain nonlinear state delayed systems", Automatica, 35, pp. 955-963, 1999.
19. Z. Wang, B. Huang and K.J. Burnham, "Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities", IEEE Trans. Circuits and Systems I, 48, pp. 646-650, 2001.
20. L. Xie and Y.C. Soh, "Robust Kaiman filtering for uncertain systems", Systems and Control Lett., 22, pp. 123-129, 1994.
21. S. Xie and L. Xie, "Decentralized stabilization of a class of interconnected stochastic nonlinear systems", IEEE Trans. Automat. Control, 45(1), pp. 132-137, 2000.
22. ∞, control for uncertain stochastic systems with state delay", IEEE Trans. Automat. Control, 47(12), pp. 2089-2094, 2002.
23. X.G. Yan, C. Edwards and S.K. Spurgeon, "Output feedback sliding mode control for non-minimum phase systems with non-linear disturbances", Int. J. Control, 77(15), pp. 1353-1361, 2004.
24. Y.I. Yaz and E.E. Yaz, "On LMI formulations of some problems arising in nonlinear stochastic system analysis", IEEE Trans. Automatic. Control, 44(4), pp. 813-816, 1999.