Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach

Chaos, Solitons and Fractals

Volumn 33, Issue 3, 2007, Pages 1017-1027

  Lien, Chang Hua ^a  

^a I SHOU UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; GENETIC ALGORITHMS; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; PROBLEM SOLVING; THEOREM PROVING; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV-KRASOVSKII FUNCTIONAL THEORY; UNCERTAIN NEUTRAL SYSTEM;

COSTS;

EID: 33847393985     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.066     Document Type: Article

References (23)

1. ∞ control problem for linear neutral systems: delay independent case. ASME J Dyn Syst Meas Control 125 (2003) 177-185
2. Darouach M. Linear functional observers for systems with delays in state variables. IEEE Trans Automat Cont 46 (2001) 491-496
3. Dugard L., and Verriest E.I. Stability and control of time-delay systems (1997), Springer-Verlag, London
4. Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems. Syst Control Lett 43 (2001) 309-319
5. ∞ control: constant and time-varying delays. Int J Cont 76 (2003) 48-60
6. ∞ filtering of linear systems with time-varying delay. IEEE Trans Automat Cont 48 (2003) 159-165
7. Hale J.K., and Verduyn Lunel S.M. Introduction to functional differential equations (1993), Springer-Verlag, New York
8. Han Q.L. Robust stability of uncertain delay-differential systems of neutral type. Automatica 38 (2002) 719-723
9. Ivanescu D., Dion J.M., Dugard L., and Niculescu S.I. Dynamical compensation for time-delay systems: an LMI approach. Int J Robust Nonlinear Cont 10 (2000) 611-628
10. Kolmanovskii V.B., and Myshkis A. Applied theory of functional differential equations (1992), Kluwer Academic Publishers, Netherlands
11. Li X, Decarlo RA. Robust controller and observer design for time-delay systems. In: Proc American Control Conference, Anchorage; 2002. p. 2210-15.
12. Li X., and de Souza C.E. Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach. IEEE Trans Automat Cont 42 (1997) 1144-1148
13. Lien C.H., and Chen J.D. Discrete-delay-independent and discrete-delay-dependent criteria for a class of neutral systems. ASME J Dyn Syst Meas Control 125 (2003) 33-41
14. Lien C.H., Sun Y.J., and Hsieh J.G. Global stabilizability for a class of uncertain systems with multiple time-varying delays via linear control. Int J Cont 72 (1999) 904-910
15. Nian X., and Feng J. Guaranteed-cost control of a linear uncertain system with multiple time-varying delays: an LMI approach. IEE Proc Control Theory Appl 150 (2003) 17-22
16. Park J.H. Robust guaranteed cost control for uncertain linear differential systems of neutral type. Appl Math Comput 140 (2003) 523-535
17. Park J.H., and Won S. Asymptotic stability of neutral systems with multiple delays. J Optimiz Theory Appl 103 (1999) 183-200
18. Xia Y, Jia Y. Robust sliding mode control for uncertain time-delay systems: an LMI approach. In Proc American Control Conference, Anchorage; 2002. p. 53-58.
19. Xu S., Lam J., Yang C., and Verriest E.I. An LMI approach to guaranteed cost control for uncertain linear neutral delay system. Int J Robust Nonlinear Cont 13 (2003) 35-53
20. Lien C.H. Robust observer-based control of systems with state perturbations via LMI approach. IEEE Trans Automat Cont 49 (2004) 1365-1370
21. Chou J.H., Chen S.H., and Li J.J. Application of the Taguchi-genetic method to design an optimal grey-fuzzy controller of a constant turning force system. J Mater Process Technol 105 (2000) 333-343
22. Wu M.S., Teng W.C., Jeng J.H., and Hsieh J.G. Spatial correlation genetic algorithm for fractal image compression. Chaos, Solitons & Fractals 28 (2006) 497-510
23. Boyd L., Ghaoui E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia