UNSPECIFIED (1996) Stability radii of systems with stochastic uncertainty and their optimization by output feedback. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 34 (6). pp. 1972-1998. ISSN 0363-0129

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Abstract

We consider linear plants controlled by dynamic output feedback which are subjected to blockdiagonal stochastic parameter perturbations. The stability radii of these systems are characterized, and it is shown that, for real data, the real and the complex stability radii coincide. A corresponding result does not hold in the deterministic case, even for perturbations of single-output feedback type. Ln a second part of the paper we study the problem of optimizing the stability radius by dynamic linear output feedback. Necessary and sufficient conditions are derived for the existence of a compensator which achieves a suboptimal stability radius. These conditions consist of a parametrized Riccati equation, a parametrized Liapunov inequality, a coupling inequality, and a number of linear matrix inequalities (one for each disturbance term). The corresponding problem in the deterministic case, the optimal mu-synthesis problem, is still unsolved.

Item Type:	Journal Article
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics Q Science > QA Mathematics
Journal or Publication Title:	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Publisher:	SIAM PUBLICATIONS
ISSN:	0363-0129
Date:	November 1996
Volume:	34
Number:	6
Number of Pages:	27
Page Range:	pp. 1972-1998
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/18285

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