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

Chaos, Solitons and Fractals

Volumn 31, Issue 4, 2007, Pages 889-899

  Lien, Chang Hua ^a  

^a I SHOU UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COSTS; DYNAMICS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; OPTIMIZATION; PROBLEM SOLVING;

CONTROL INPUT; LINEAR MATRIX INEQUALITY (LMI); NEUTRAL DYNAMIC SYSTEMS; TIME-VARYING DELAYS;

CONTROL SYSTEMS;

EID: 33747348121     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.10.080     Document Type: Article

References (26)

1. Hale J.K., and Verduyn Lunel M. Introduction to functional differential equations (1993), Springer-Verlag, New York
2. Kolmanovskii V.B., and Myshkis A. Applied theory of functional differential equations (1992), Kluwer Academic Publishers, Netherlands
3. Lien C.H. Further results on delay-dependent robust stability of uncertain fuzzy systems with time- varying delay. Chaos, Solitons & Fractals 28 (2006) 422-427
4. Liu X., and Zhang H. New stability criterion of uncertain systems with time-varying delay. Chaos, Solitons & Fractals 26 (2005) 1343-1348
5. Balanov A.G., Janson N.B., McClintock P.V.E., Tucker R.W., and Wang C.H.T. Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string. Chaos, Solitons & Fractals 15 (2003) 381-394
6. He Y., Wu M., She J.H., and Liu G.P. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst Control Lett 51 (2004) 57-65
7. Lien C.H. Stability and stabilization criteria for a class of uncertain neutral systems with time-varying delays. J Optim Theory Appl 124 (2005) 637-657
8. Park J.H. Design of dynamic controller for neutral differential systems with delay in control input. Chaos, Solitons & Fractals 23 (2005) 503-509
9. Park J.H., and Kwon O.M. Controlling uncertain neutral dynamic systems with delay in control input. Chaos, Solitons & Fractals 26 (2005) 805-812
10. Shao Z.H. Robust stability of uncertain neutral delay systems. IEEE Trans Ind Electron 51 (2004) 730-733
11. Xu S., Lam J., and Zou Y. Further results on delay-dependent robust stability conditions of uncertain neutral stems. Int J Robust Nonlinear Control 15 (2005) 233-246
12. Wu M., He Y., She J.H., and Liu G.P. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40 (2004) 1435-1439
13. Kwon O.M., and Park J.H. Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback. Chaos, Solitons & Fractals 27 (2006) 800-812
14. Park J.H. Dynamic output guaranteed cost controller for neutral systems with input delay. Chaos, Solitons & Fractals 23 (2005) 1819-1828
15. Park J.H., and Choi K. Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback. Chaos, Solitons & Fractals 24 (2005) 183-190
16. Park J.H., and Kwon O.M. Guaranteed cost control of time-delay chaotic systems. Chaos, Solitons & Fractals 27 (2006) 1011-1018
17. Xu S., Lam J., Yang C., and Verrist E.I. An LMI approach to guaranteed cost control for uncertain linear neutral delay systems. Int J Robust Nonlinear Control 13 (2003) 35-53
18. Dorato P. Non-fragile controller design: an overview. American Control Conference, Philadelphia, PA; 1998. p. 2829-31.
19. Ho M.T., Datta A., and Bhattacharyya S.P. Robust non-fragile PID controller design. Int J Robust Nonlinear Control 11 (2001) 681-708
20. Park J.H. Robust non-fragile guaranteed cost control of uncertain large-scale systems with time-delays in subsystem interconnections. Int J Syst Sci 35 (2004) 233-241
21. Xu S., Lam J., Wang J.L., and Yang G.H. Non-fragile positive real control for uncertain linear neutral delay systems. Syst Control Lett 52 (2004) 59-74
22. Yee J.S., Yang G.H., and Wang J.L. Non-fragile guaranteed cost control for discrete-time uncertain linear systems. Int J Syst Sci 32 (2001) 845-853
23. Yue D., and Lam J. Non-fragile guaranteed cost control for uncertain descriptor systems with time-varying state and input delays. Optim Control Appl Meth 26 (2005) 85-105
24. Gahinet P., Nemirovski A., Laub A., and Chilali M. LMI control toolbox user's guide (1995), The Mathworks, Massachusetts
25. Gu K., Kharitonov V.L., and Chen J. Stability of time-delay systems (2003), Birkhauser, Massachusetts
26. Boyd L., Ghaoui E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia