Non-fragile guaranteed cost control for uncertain descriptor systems with time-varying state and input delays

Optimal Control Applications and Methods

Volumn 26, Issue 2, 2005, Pages 85-105

  Yue, Dong ^a   Lam, James ^b  

^a NANJING NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Delay; Descriptor system; Fragility; Generalized Lyapunov function; Guaranteed cost control; Stability

Indexed keywords

COSTS; DELAY CIRCUITS; FEEDBACK CONTROL; FUNCTIONS; LYAPUNOV METHODS; STABILITY; UNCERTAIN SYSTEMS;

DESCRIPTOR SYSTEMS; FRAGILITY; GENERALIZED LYAPUNOV FUNCTIONS; GUARANTEED COST CONTROL; INPUT DELAYS;

TIME VARYING CONTROL SYSTEMS;

EID: 17444426057     PISSN: 01432087     EISSN: None     Source Type: Journal    
DOI: 10.1002/oca.753     Document Type: Article

References (26)

1. Dai L. Singular Control Systems. Lecture Notes in Control and Information Sciences. Springer: New York, 1989.
2. Takaba K, Morihira N, Katayama T. A generalized Lyapunov theorem for descriptor system. Systems and Control Letters 1995; 24:49-51.
3. ∞ control for discrete singular systems with state delay and parameter uncertainty. Dynamics of Continuous, Discrete and Impulsive Systems 2002; 9:539-554.
4. ∞ control theory. IEEE Transactions on Automatic Control 1990; 35(3):356-361.
5. ∞ optimization: a design method based on the algebraic Riccati equation. IEEE Transactions on Automatic Control 1987; 32:427-492.
6. ∞ constraint: the state feedback case. Automatica 1991; 27:307-316.
7. Wang Z, Huang B, Unbehauen H. Robust reliable control for a class of uncertain nonlinear state delayed systems. Automatica 1999; 35(2):955-963.
8. ∞ control for linear systems with norm-bounded time-varying uncertainty. IEEE Transactions on Automatic Control 1992; 37(8): 1188-1191.
9. Keel LH, Bhattacharya SP. Robust, fragile or optimal? IEEE Transactions on Automatic Control 1997; 42: 1098-1105.
10. Blanchini F, Lo Cigno R, Tempo R. Control of ATM networks: fragility and robustness issues. Proceedings of the American Control Conference, Philadelphia, 1998; 2947-2951.
11. Dorato P. Non-fragile controller design, an overview. Proceedings of the American Control Conference, Philadelphia, 1998; 2829-2831.
12. Famularo D, Abdallah CT, Jadbabais A, Dorato P, Haddad WM. Robust non-fragile LQ controllers: the static state feedback case. Proceedings of the American Control Conference, Philadelphia, 1998; 1109-1113.
13. Haddad WM, Corrado JR. Resilient controller design via quadratic Lyapunov bounds. Proceedings IEEE Conference on Decision and Control, San Diego, CA, 1997; 2678-2683.
14. Haddad WM, Corrado JR. Robust resilient dynamic controllers for systems with parameter uncertainty and controller gain variations. International Journal of Control 2000; 73:1405-1423.
15. Jadbabaie A, Chaouki T, Famularo D, Dorato P. Robust, non-fragile and optimal controller design via linear matrix inequalities. Proceedings of the American Control Conference, Philadelphia, 1998; 2842-2846.
16. ∞ control for linear systems with additive controller gain variations. International Journal of Control 2000; 73:1500-1506.
17. Yee JS, Yang GH, Wang JL. Resilient guaranteed cost control to tolerate actuator faults for discrete-time uncertain linear systems. IEE Proceedings: Control Theory and Applications 2000; 147:277-284.
18. Li Y, Liu Y. Stability of solution of generalized functional equations. Acta Applicandae Mathematicae 1999; 22: 130-138 (in Chinese).
19. Xu S, Van Dooren P, Stefan R, Lam J. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Transactions on Automatic Control 2002; 47(7): 1122-1128.
20. ∞ state feedback control for discrete singular systems. IEEE Transactions on Automatic Control 2000; 45:1405-1409.
21. ∞ control for linear systems with multiplicative controller gain variations. Automatica 2001; 37:727-737.
22. Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. SIAM: Philadelphia, 1994.
23. Liao XX, Mao X. Exponential stability of stochastic delay interval systems. System and Control Letters 2000; 40:171-181.
24. Yu L, Chu J. An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica 1999; 35:1155-1159.
25. ∞ control for uncertain systems with time varying delays. IEE Proceedings: Control Theory and Applications 1998; 143(3):338-344.
26. ∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Transactions on Signal Processing 2004; 52:3200-3212.