ℋ∞and ℋ2 guaranteed costs computation for uncertain linear systems

International Journal of Systems Science

Volumn 28, Issue 2, 1997, Pages 183-188

  Palhares, R M ^a   Taicahashi, R H C ^a,b   Peres, P L D ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; PERFORMANCE; ROBUSTNESS (CONTROL SYSTEMS); TRANSFER FUNCTIONS;

CONTINUOUS TIME SYSTEMS; CONVEX BOUNDED PARAMETER UNCERTAINTIES; LINEAR MATRIX INEQUALITIES; UNCERTAIN LINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0031076687     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729708929377     Document Type: Article

References (17)

1. ∞ norm. System Control Utters, 15, 1-7.
2. Boyd, S., El-Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory. (Philadelphia, Pennsylvania, U.S.A.: SIAM).
3. ∞norm of a transfer function matrix. System Control Letters, 14, 287-293.
4. ∞norm of a transfer function. Proceedings of the American Control Conference, San Diego, California, U.S.A., pp. 2578-2582.
5. Oinsiguo A., 1994, How to control slock markets, international Journal of Systems Science, 25, 2245-2253.
6. ∞control problems. IEEE Transactions on Automatic Control, 34, 831-847.
7. 2 guaranteed cost control for uncertain continuous-time linear systems. System Control Letters, 19, 23-27
8. 2 guaranteed cost control for uncertain discretc-limc linear systems. International Journal of Control, 57, 853-864
9. ∞ control of discrete-time uncertain systems. IEEE Transactions on Automatic Control, 39, 1072-1075
10. Geromel, J. C., Pekes, P. L. D, and Souza, S. R., 1995, A convex approach to the mixed control problem for discrcte-time uncertain systems. SIAM Journal on Control Optimization. 33, 1816-1833
11. Hinrichsen, D., Kelil B., and Linnemann, A., 1989, An algorithm for the computation of the structured complex stability radius, Automatica, 25, 771-775.
12. Kavranoclu, D, 1994, norm approximation of systems by constant matrices and related results. IEEE Transactions on Automatic Control, 39, 1006-1009.
13. ∞ control: a convex optimization approach. IEEE Transactions on Automatic Control, 36, 824-837.
14. Peres, P. L. D., Geromel, J. C., and Souza, S. R., 1993, guaranteed cost control for uncertain continuous time linear systems. System Control Letters, 20,413-418
15. ∞ control design by static output feedback. In IFAC Symposium on Robust Control Design, Rio de Janeiro, Brazil, pp. 243-248.
16. Robel, G., 1989, On computing the infinity norm. IEEE Transactions on Automatic Control, 34, 882-884.
17. Zhou, K., Khargonekar, P. P., Stoustrup, J., and Niemann, H. H., 1995, Robust performance of systems with structured uncertainties in state space. Automatica, 31, 249-255.