Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays

International Journal of Control

Volumn 81, Issue 8, 2008, Pages 1210-1220

  Liu, Shu Jun ^a,b   Ge, Shuzhi Sam ^c   Zhang, Ji Feng ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

^b SOUTHEAST UNIVERSITY   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Adaptive control; Memoryless; Output feedback stabilisation; Stochastic non linear systems; Time delay systems; Virtual control coefficients

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ADAPTIVE SYSTEMS; CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; FEEDBACK CONTROL; LINEAR SYSTEMS; MILITARY DATA PROCESSING; NONLINEAR CONTROL SYSTEMS; NONLINEAR SYSTEMS; OBSERVABILITY; POWER CONVERTERS; STOCHASTIC PROGRAMMING; TIME DELAY; TIME VARYING SYSTEMS;

(LIQUID + LIQUID) EQUILIBRIUM; (N-1) CRITERION; ADAPTIVE OUTPUT; ADAPTIVE OUTPUT FEEDBACK CONTROL; BACKSTEPPING METHODS; CLOSED LOOPS; CONTROL LAWS; EXISTENCE AND UNIQUENESS; GENERAL (CO); NON LINEAR SYSTEMS; OBSERVER (OBS); SOLUTION PROCESSING; STABILISATION; STABILITY NOTIONS; SUFFICIENT CONDITIONS (SC); SYSTEMATIC DESIGNS; TIME-VARYING; UNCERTAIN PARAMETERS; VIRTUAL CONTROL;

CONTROL THEORY;

EID: 46149084238     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170701598478     Document Type: Article

References (23)

1. Deng, H., Krstić, M., and Williams, R.J. (2001), "Stabilization of Stochastic Nonlinear Systems Driven by Noise of Unknown Covariance," IEEE Transactions on Automatic Control, 46, 1237-1253.
2. Fu, Y., Tian, Z., and Shi, S. (2005), "Output Feedback Stabilisation for a Class of Stochastic Time-Delay Nonlinear Systems," IEEE Transactions on Automatic Control, 50, 847-850.
3. Has'minskii, R.Z. (1980), Stochastic Stability of Differential Equations, Norwell, Massachusetts: Kluwer Academic.
4. Hua, C., Guan, X., and Shi, P. (2005), "Robust Backstepping Control for a Class of Time Delayed Systems," IEEE Transactions on Automatic Control, 50, 894-899.
5. Kallenberg, O. (2002), Foundations of Modern Probability (2nd ed.), Berlin: Springer Verlag.
6. Khalil, H.K. (2002), Nonlinear Systems (3rd ed.), London: Prentice-Hall.
7. Kolmanovskii, V., and Myshkis, A. (1999), Introduction to the Theory and Applications of Functional Differential Equations, Dordrecht: Kluwer Academic.
8. Kolmanovskii, V.B., and Nosov, V.R. (1986), Stability of Functional Differential Equations, London: Academic Press.
9. Krstić, M., and Deng, H. (1998), Stabilization of Nonlinear Uncertain Systems, London: Springer-Verlag.
10. Krstić, M., Kanellakopoulos, I., and Kokotovic, P. (1995), Nonlinear and Adaptive Control Design, New York: Wiley.
11. Liu, S.J., Zhang, J.F., and Jiang, Z.P. (2007), "Decentralized Adaptive Output-Feedback Stabilisation for Large-Scale Stochastic Nonlinear Systems," Automatica, 43, 238-251.
12. Lu, C.Y., Su, T.J., and Tsai, J.S.H. (2005), "On Robust Stabilisation of Uncertain Stochastic Time-Delay Systems - an LMI-based Approach," Journal of the Franklin Institute, 342, 473-487.
13. Mao, X.R. (2002), "A Note on the Lasalle-Type Theorems for Stochastic Differential Delay Equations," Journal of Mathematical Analysis and Applications, 268, 125-142.
14. Mao, X.R. (1999), "Lasalle-Type Theorems for Stochastic Differential Delay Equations," Journal of Mathematical Analysis and Applications, 236, 350-360.
15. Mao, X.R., Koroleva, N., and Rodkina, A. (1998), "Robust Stability of Uncertain Stochastic Differential Delay Equations," Systems and Control Letters, 35, 325-336.
16. Pan, Z. (2002), "Canonical Forms for Stochastic Nonlinear Systems," Automatica, 38, 1163-1170.
17. Pepe, P., and Jiang, Z.P. (2006), "A Lypunov-Krasovskii Methodology for ISS and iISS of Time-Delay Systems," Systems and Control Letters, 55, 1006-1014.
18. Rodkina, A., and Basin, M. (2006), "On Delay-dependent Stability for a Class of Non-linear Stochastic Delay-Differential Equations," Math. Control Signals Systems, 18, 187-197.
19. Shu, H.S., and Wei, G.L. (2005), "H∞ Analysis of Nonlinear Stochastic Time-Delay Systems," Chao, Solitons and Fractals, 26, 637-647.
20. Verriest, E.I., and Florchinger, P. (1995), "Stability of Stochastic Systems with Uncertain Time Delays," Systems and Control Letters, 24, 41-47.
21. Xie, L., He, X., Xiong, G., Zhang, W., and Xu, X. (2003), "Decentralized Output Feedback Stabilisation for Large Scale Stochastic Non-linear System with Time Delays," Control Theory and Applications, 20, 825-830.
22. Xie, S.L., and Xie, L.H. (2000), "Stabilization of a Class of Uncertain Large-scale Stochastic Systems with Time Delays," Automatica, 36, 161-167.
23. Xu, S.Y., and Chen, T.W. (2002), "Robust H∞ Control for Uncertain Stochastic Systems with State Delay," IEEE Transactions on Automatic Control, 47, 2089-2094.