Stability analysis and robust controller design for uncertain discrete-time singularly perturbed systems

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 12, Issue 5-6, 2005, Pages 849-865

  Sun, Fuchun ^a   Hu, Yenan ^a   Liu, Huaping ^a  

^a NONE

Author keywords

Discrete time; LMI; Robust stabilization; Singular perturbations; Uncertain systems

Indexed keywords

EID: 28744449321     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. M. Bidani, N.E. Radhy, B.B ensassi, Optimal control of discrete-time singularly perturbed systems, International Journal of Control, 75, (2002) 955-966
2. E. K. Boukas, Z. K. Liu, Delay-dependent stabilization of singularly perturbed jump linear systems, International Journal of Control, vol. 77, no. 3, pp. 310-319, 2004.
3. Y.Y. Cao, J. Lam, Y.Y. Sun, Static output feedback stabilization: An ILMI approach, Automatica, 34 (1998) 1641-1645
4. ∞ control of discrete singularly perturbed systems: the state feedback case, Automatica, 38 (2002) 1791-1797
5. E. Fridman, Effects of small delays on stability of singularly perturbed systems, Automatica, 38, (2002) 897-902
6. E. Fridman, Stability of singularly perturbed differential-difference systems: An LMI approach, Dynamics of Continuous, Discrete and Impulsive Systems-Part B, 9 (2002) 201-212
7. Z. Gajic, M. Lim, Optimal Control of Singularly Perturbed Linear Systems with Applications: High Accuracy Techniques, New York, 2001
8. Z. Gajic, X.M. Shen, Study of the discrete singularly perturbed linear-quadratic control problem by a bilinear transformation, Automatica, 27 (1991) 1025-1028
9. ∞ filtering for uncertain systems with multiple time-varying state delays, IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, 50 (2003) 594-599
10. ∞ filtering for a class of uncertain nonlinear time-delay systems, IEEE Transactions on Automatic Control, 48 (2003) 1661-1666
11. ∞ filtering for uncertain discrete-time state-delayed systems, IEEE Transactions on Signal Processing, 52 (2004) 1631-1640
12. G. Garcia, J. Daafouz, J. Bernussou, The infinite time near optimal decentralized regulator problem for singularly perturbed systems: a convex optimization approach, Automatica, 38 (2002) 1397-1406
13. R. Ghosh, S. Sen, K.B. Datta, Method for evaluating stability bounds for discrete-time singularly perturbed systems, IEE Proceedings - Control Theory and Applications, 46 (1999) 227-233
14. P.V. Kokotovic, R.A. Yackel, Singular perturbation of linear regulators: Basic theorems, IEEE Transactions on Automatic Control, 16 (1971) 279-281
15. Y, Li, J.L. Wang, G.H. Yang, Sub-optimal linear quadratic control for singularly perturbed systems, in: Proceedings of IEEE Conference on Decision and Control, Orlando, Florida, USA, Dec., (2001) 3698-3703
16. M.T. Lim, B.S. Kim, Optimal control of linear nonstandard singularly perturbed discrete systems, in: Proceedings of IEEE Conference on Decision and Control, Sydney, Australia, Dec., (2000) 2329-2334
17. B. Litkouhi, H. Khalil, Infinite-time regulators for singularly perturbed difference equations, International Journal of Control, 39 (1984) 587-598
18. ∞ control for Markov jump linear singularly perturbed systems, IEE Proceedings - Control Theory and Applications, 151 (2004) 637-644
19. H.P. Liu, F.C. Sun, Z.Q. Sun, Stability analysis and synthesis of fuzzy singularly perturbed systems, IEEE Transactions on Fuzzy Systems, 13 (2005) 273-284
20. H. Mukaidani, The guaranteed cost control problem of uncertain singularly perturbed systems, Journal of Mathematical Analysis and Applications, 251 (2000) 716-735
21. H. Xu, H. Mukaidani, K. Mizukami, New method for composite optimal control of singularly perturbed systems, International Journal of Systems Sciences, 28 (1997) 161-172