A new finite sum inequality approach to delay-dependent H∞ control of discrete-time systems with time-varying delay

International Journal of Robust and Nonlinear Control

Volumn 18, Issue 6, 2008, Pages 630-647

  Zhang, Xian Ming ^a,b   Han, Qing Long ^b  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

Delay dependent stability; Discrete time linear systems; Finite sum inequality; H control; Linear matrix inequality (LMI); Memoryless state feedback; Time varying delay

Indexed keywords

ASYMPTOTIC ANALYSIS; LINEAR MATRIX INEQUALITIES; TIME DELAY; TIME VARYING NETWORKS;

FINITE SUM INEQUALITY; MEMORYLESS STATE FEEDBACK;

DISCRETE TIME CONTROL SYSTEMS;

EID: 41849112371     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1242     Document Type: Article

References (21)

1. Hale JK, Verduyn Lunel S-M. Introduction to Functional Differential Equations. Springer: New York, 1993.
2. Yue D, Han Q-L, Peng C. State feedback controller design of networked control systems. IEEE Transactions on Circuits and Systems-II: Express Briefs 2004; 51(11):640-644.
3. ∞ control of systems with uncertainty. Automatica 2005; 41(6):999-1007.
4. Gu K, Kharitonov L, Chen J. Stability of Time-delay Systems. Birkhäuser: Boston, 2003.
5. Richard J. Time-delay systems: an overview of some recent advances and open problem. Automatica 2003; 39(10): 1667-1694.
6. Xu S, Lam J, Zou Y. Further results on delay-dependent robust stability conditions of uncertain neutral systems. International Journal of Robust and Nonlinear Control 2005; 15:233-246.
7. He Y, Wang QG, Lin C, Wu M. Augment Lyapunov functional and delay-dependent stability criteria for neutral systems. International Journal of Robust and Nonlinear Control 2005; 15:923-933.
8. Han Q-L. Robust stability of uncertain delay-differential systems of neutral type. Automatica 2002; 38(4):719-723.
9. Han Q-L. On stability of linear neutral systems with mixed time-delays: a discretized Lyapunov functional approach. Automatica 2005; 41(7):1209-1218.
10. Han Q-L. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica 2005; 41(12): 2171-2176.
11. Åström KJ, Wittenmark B. Computer Controlled Systems-Theory and Design. Prentice-Hall: Englewood Cliffs, NJ, 1984.
12. ∞ control of discrete-time linear systems with time-varying delays in state. Automatica 1999; 35(9): 1587-1591.
13. Gao H, Lam J, Wang C. Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay. IEE Proceedings-Control Theory and Applications 2004; 151(6):691-698.
14. ∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers. Systems and Control Letters 2004; 51(31-4):171-183.
15. ∞ control of uncertain discrete delay systems. European Journal of Control 2005; 11(1):29-37.
16. ∞ controller design for a class of networked control systems. Asian Journal of Control 2006; 8(2):97-106.
17. ∞ controller design for discrpte-time linear systems with time-varying delay in state. Proceedings of the 40th IEEE Control and Decision Conference, Orlando, 2001; 1446-1447.
18. Boyd S, EL Ghaoui L, Feron E, Balakrishnam V. Linear Matrix Inequalities in System and Control. SIAM: Philadelphia, PA, 1994.
19. Lee YS, Kwon WH. Delay-dependent robust stabilization of uncertain discrete-time state-delayed systems. Proceedings of the 15th IFAC Congress Automation and Control, Barcelona, 2002.
20. El Ghaoui L, Oustry F, Ait Rami M. A cone complementarity linearization algorithms for static output feedback and related problems. IEEE Transactions on Automatic Control 1997; 42(8):1171-1176.
21. ∞ control of systems with parameter uncertainty. International Journal of Control 1996; 63:741-750.