Robust stability of discrete time-delay uncertain singular systems

IEE Proceedings: Control Theory and Applications

Volumn 151, Issue 1, 2004, Pages 45-52

  Chen, S J ^a   Lin, J L ^b  

^a KUN SHAN UNIVERSITY   (Taiwan)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

PARAMETRIC UNCERTAINTIES; SINGULAR SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 1542685988     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20040062     Document Type: Conference Paper

References (25)

1. Dai, L.: 'Singular control systems: Lecture notes in control and information sciences' (Springer-Verlag, Berlin, 1989)
2. Lewis, F.L.: 'A survey of linear singular systems', J. Circuit Syst. Signal Proces., 1986, 5, pp. 3-36
3. Verghese, G.C., Levy, B.C., and Kailath, T.: 'A generalized state-space for singular systems', IEEE Trans. Autom. Control, 1981, 26, pp. 811-831
4. Qiu, L., and Davison, E.J.: 'The stability robustness of generalized eigenvalues', IEEE Trans. Autom. Control, 1992, 37, pp. 886-891
5. Lin, C., Lam, J., Wang, J., and Yang, G.H.: 'Analysis on robust stability for interval descriptor systems', Syst. Control Lett., 2001, 42. pp. 267-278
6. Fang, C.H., Lee, L., and Chang, F.R.: 'Robust control analysis and design for discrete-time singular systems', Automatica, 1994, 30, pp. 1741-1750
7. Lin, J.L., and Chen. S.J.: 'Robust stability analysis of generalized interval systems using structured singular value', Int. J. Syst. Sci., 1997, 29, pp. 199-206
8. Lin, J.L., and Chen, S.J.: 'LFT approach to robust Instability bounds of uncertain linear singular systems', IEE Proc., Control Theory Appl., 1998, 145, (2), pp. 127-134
9. Lee, C.H., Li, T.H.S., and Kung, F.C.: 'D-stability analysis for discrete systems with a time delay', System Control Lett., 1992, 19, (13), pp. 213-219
10. Suand, T.J., and Shyr, W.J.: 'Robust Instability for linear uncertain discrete time-delay systems', IEEE Trans. Autom. Control, 1994, 39, pp. 425-428
11. Dugard, L., and Verriest, E.I. (Eds.): 'Stability and control of time-delay systems: lecture notes in control and information sciences' (Springer, London, 1997)
12. Huang, Y.P., and Zhou, K.: 'Robust stability of uncertain time-delay systems', IEEE Trans. Autom. Control, 2000, 45, pp. 2169-2173
13. Wang, R., and Liu Y.: 'Asymptotic stability and robustness for discrete-time singular systems with multiple time-delays'. IEEE Proc. 3rd World Congress on Intelligent Control and Automation, Hefei, P.R. China, 28 June-2 July 2000, pp. 3350-3353
14. Doyle, J.C., Packard, A., and Zhou. K.: 'Review of LFTs, LMIs and μ'. Proc 30th IEEE Conf. on Decision and Control, Brighton, UK, 11-13 December 1991, pp. 1227-1232
15. Saydy, L., Tits, A.L., and Abed, H.: 'Guardian maps and the generalized stability of parametrized families of matrices and polynomials', Math. Control Signals Syst., 1990, 3, pp. 345-371
16. Doyle, J.C.: 'Analysis of control systems with structured uncertainties', IEE Proc. D: Control Theory Appl., 1982, 133, pp. 242-250
17. Zhou, K., Doyle, J.C., and Glover, K.: 'Robust and optimal control' (Prentice Hall, New Jersey, 1996)
18. Fan, M.K.H., Tits, A.L., and Doyle, J.C.: 'Robustness in the presence of mixed parametric uncertainty', IEEE Trans. Autom. Control, 1991, 36, pp. 25-38
19. Young, P.M., and Doyle, J.C.: 'Properties of the mixed μ problem and its bounds', IEEE Trans. Autom. Control, 1996, 41, pp. 155-159
20. Balas, G.J., Doyle, J.C., Glover, K., Packard, A., and Smith, R.: 'μ-analysis and synthesis toolbox' (The MathWorks, 1995)
21. Bender, D.J., and Laub, A.J.: "The linear-quadratic optimal regular for descriptor systems', IEEE Trans. Autom. Control, 1987, 32, (8), pp. 672-688
22. Braatz, R.P., Young, P.M., Doyle, J.C., and Morari, M.: 'Computational complexity of μ calculation', IEEE Trans. Autom. Control, 1994, 39, (5), pp. 1000-1002
23. Packard, A., and Doyle, J.C.: The complex structured singular value', Automatica, 1993, 29, (1), pp. 71-109
24. Shields, D.N.: 'Observers for singular time-delay descriptor systems', Control Comput., 1994, 22, pp. 58-64
25. Chen, S.H., and Chou, J.H.: 'Stability robustness of linear discrete singular time-delay systems with structured parameter uncertainties', IEE Proc., Control Theory Appl., 2003, 150, (3), pp. 295-302