Output feedback H∞ control of systems with parameter uncertainty

International Journal of Control

Volumn 63, Issue 4, 1996, Pages 741-750

  Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; PARAMETER ESTIMATION; PROBLEM SOLVING; SYSTEM STABILITY;

PARAMETER UNCERTAINTY; QUADRATIC STABILITY;

OPTIMAL CONTROL SYSTEMS;

EID: 0030108725     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921866     Document Type: Article

References (13)

1. de Souza, C. E., Fu, M., and Xie, L., 1993, H analysis and synthesis of discrete-time system with time-varying parameter uncertainty. IEEE Transactions on Automatic Control, 38, 459-462.
2. de Souza, C. E., and Xie, L., 1992, On the discrete-time bounded-real lemma with application to static state feedback control. Systems and Control Letters, 18, 61-71.
3. Gu, K., 1994, control of systems under norm bounded uncertainties in all system matrices. IEEE Transactions on Automatic Control, 39, 1320-1322.
4. Kjiargonekar, P. P., Petersen, I. R., and Zhou, K., 1990, Robust stabilization of uncertain linear systems: quadratic stabilizability and control theory. IEEE Transactions on Automatic Control, 35, 356-361.
5. Packard, A., and Doyle, J., 1990, Quadratic stability with real and complex perturbations. IEEE Transactions on Automatic Control, 35, 198-201.
6. Petersen, I. R., 1987. A stabilization algorithm for a class of uncertain systems. Systems and Control Letters 8, 181-188.
7. Peterson, I. R., McFarlane, D. C., and Rotea, M. A., 1993, Optimal guaranteed cost control of discrete-time uncertain systems. Proceedings of the 12 th I FAC World Congress, Sydney, pp. 407-410.
8. w theory via loop-shifting, matrix pencil and descriptor concepts. International Journal of Control, 50, 2467-2488.
9. 2 control problem: a worst case design. IEEE Transactions on Automatic Control, 38, 1358-1370.
10. Xie, L., and de Souza, C. E., 1990, Robust H control for linear time-invariant systems with norm-bounded uncertainty in the input matrix. Systems and Control Letters, 14, 389-396.
11. Xie, L., Fu, M., and de Souza, C. E., 1992, control and quadratic stabilization of systems with parameter uncertainty via output feedback. IEEE Transactions on Automatic Control, 37, 1253-1256.
12. Zhou, K., and Khargonekar, P. P., 1988, An algebraic Riccati equation approach to optimization. Systems and Control Letters, 11, 95-91.
13. Zhou, K., Khargonekar, P. P., Stoustrup, J., and Niemann, H. H., 1992, Robust stability and performance of uncertain systems in state space. Proceedings of the 31s/ IEEE Conference on Decision and Control, Tucson, Arizona, U.S.A., pp. 662-667.