An optimization algorithm for checking feasibility of robust h ∞-control problem for linear time-varying uncertain systems

International Journal of Control

Volumn 77, Issue 5, 2004, Pages 498-503

  Balandin, Dmitry V ^a   Kogan, Mark M ^a  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER AIDED ANALYSIS; FEEDBACK; FUNCTION EVALUATION; LINEAR SYSTEMS; OPTIMIZATION; OSCILLATIONS; PENDULUMS;

ARTIFICIAL DISTURBANCES; BOUNDED UNCERTAINITIES; CONVEX CONSTRAINTS; LINEAR TIME-VARYING UNCERTAIN SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 2142843472     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170410001674028     Document Type: Article

References (18)

1. ∞ controllers. IEEE Transactions on Automatic Control, 40, 853-864.
2. APKARIAN, P., and TUAN, H. D., 2000, Robust control via concave minimization local and global algorithms. IEEE Transactions on Automatic Control, 45, 299-305.
3. ∞-norm. Journal of Computer and System Sciences International, 40, 890-896.
4. ∞-control problem. Automation and Remote Control, 64, 1760-1768.
5. DOYLE, J. C., 1983, Synthesis of robust controllers and filters with structured plant uncertainty. Proceedings of the IEEE Conference on Decision and Control, San Antonio, TX, USA.
6. ∞ control problems. IEEE Transactions on Automatic Control, 34, 831-847.
7. EL GHAOUI, L., BALAKRISHNAN, V., FERON, E., and BOYD, S. P., 1992, On maximizing a robustness measure for structured nonlinear perturbations. Proceedings of American Control Conference, Chicago, USA, pp. 2923-2924.
8. ∞ control. International Journal of Robust and Nonlinear Control, 4, 421-448.
9. GAHINET, P., NEMIROVSKI, A., LAUB, A., and CHILALI, M., 1995, LMI Control Toolbox for Use with MATLAB (Natick, MA: The Math Works Inc.)
10. ∞ control problem: LMI existence conditions and state space formulas. Automatica, 30, 1307-1317.
11. ∞ suboptimal and guaranteed cost state feedbacks as solutions to linear-quadratic dynamic games under uncertainty. International Journal of Control, 73, 219-224.
12. MEGRETSKI, A., 1993, Necessary and sufficient condition of stability: a multi-loop generalization of the circle criterion. IEEE Transactions on Automatic Control, 38, 753-756.
13. PACKARD, A., ZHOU, K., PANDEY, P., LEONHARDSON, J., et al., 1992, Optimal constant I/O similarity scaling for full-information and state feedback control problems. System and Control Letters, 19, 271-280.
14. ∞ optimal sensitivity versus stability margin. Proceedings of IEEE Conference on Decision and Control, San Antonio, TX, USA.
15. ∞ control and the absolute stability of uncertain systems. Systems and Control Letters, 23, 197-203.
16. SHAMMA, J. C., 1994, Robust stability with time-varying structured uncertainty. IEEE Transactions on Automatic Control, 39, 714-724.
17. TUAN, H. D., APKARIAN, P., HOSOE, S., and TUY, H., 2000, DC optimization in robust control: feasibility problems. International Journal of Control, 73, 89-104.
18. ∞ control with constant diagonal scaling. IEEE Transactions on Automatic Control, 43, 191-203.