Robust H∞ control for uncertain discrete stochastic time-delay systems

Systems and Control Letters

Volumn 51, Issue 3-4, 2004, Pages 203-215

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

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Discrete systems; Linear matrix inequality; Robust H control; Robust stabilization; Stochastic systems; Time varying delays; Uncertain systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; MATRIX ALGEBRA; PROBABILITY; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; STOCHASTIC CONTROL SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES (LMI); ROBUST H∞ CONTROL; ROBUST STABILIZATION; TIME-VARYING DELAYS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 1042300602     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2003.08.004     Document Type: Article

References (19)

1. Boyd S., El Ghaoui L., Feron E., Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. 1994;SIAM Studies in Applied Mathematics, SIAM, Philadelphia.
2. ∞ control for uncertain systems with time-varying delays IEE Proc. Control Theory Appl. 145:1998;338-344.
3. ∞ controller design for linear uncertain time-delay systems Automatica. 33:1997;1749-1752.
4. ∞ control of uncertain linear state-delayed systems Automatica. 35:1999;1313-1321.
5. Dugard L., Verriest E.I. Stability and Control of Time-delay Systems. 1998;Springer, London.
6. ∞ -type control for discrete-time stochastic systems Internat. J. Robust Nonlinear Control. 9:1999;923-948.
7. ∞ control Internat. J. Robust Nonlinear Control. 4:1994;421-448.
8. ∞ state feedback control for linear systems with state delay and parameter uncertainty Automatica. 32:1996;1183-1185.
9. Hale J.K. Theory of Functional Differential Equations. 1977;Springer, New York.
10. Liao X., Mao X. Exponential stability of stochastic delay interval systems. Systems Control Lett. 40:2000;171-181.
11. Mao X., Koroleva N., Rodkina A. Robust stability of uncertain stochastic differential delay equations. Systems Control Lett. 35:1998;325-336.
12. ∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state Automatica. 34:1998;137-139.
13. Trinh H., Aldeen M. A memoryless state observer for discrete time-delay systems. IEEE Trans. Automat. Control. 42:1997;1572-1577.
14. Wang Y., Xie L., de Souza C.E. Robust control of a class of uncertain nonlinear systems. Systems Control Lett. 19:1992;139-149.
15. Xie S., Xie L. Stabilization of a class of uncertain large-scale stochastic systems with time delays. Automatica. 36:2000;161-167.
16. ∞ control for uncertain stochastic systems with state delay IEEE Trans. Automat. Control. 47:2002;2089-2094.
17. S. Xu, J. Lam, Robust output feedback stabilization of uncertain discrete time-delay stochastic systems with multiplicative noise, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, to appear.
18. ∞ and positive real control for linear neutral delay systems IEEE Trans. Automat. Control. 46:2001;1321-1326.
19. ∞ -compensator design for time-delay systems with norm-bounded time-varying uncertainties IEEE Trans. Automat. Control. 45:2000;1363-1369.