Convex analysis of output feedback control problems: robust stability and performance

This paper addresses the problem of optimal H/sub 2/ control by output feedback. Necessary and sufficient conditions on the existence of a linear stabilizing output feedback gain are provided in terms of the intersection of a convex set and a set defined by a nonlinear real valued function. The resu...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1996-07, Vol.41 (7), p.997-1003
Main Authors: Geromel, J.C., Peres, P.L.D., Souza, S.R.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control systems
Control theory. Systems
Costs
Exact sciences and technology
Functional programming
Linear feedback control systems
Optimal control
Output feedback
Robust control
Sufficient conditions
Uncertain systems
Uncertainty
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Summary:This paper addresses the problem of optimal H/sub 2/ control by output feedback. Necessary and sufficient conditions on the existence of a linear stabilizing output feedback gain are provided in terms of the intersection of a convex set and a set defined by a nonlinear real valued function. The results can be easily extended to deal with linear uncertain systems, where uncertainties are supposed to belong to convex bounded domains providing an H/sub 2/-guaranteed cost output feedback control. Thanks to the properties of the above-mentioned function, we show that under certain conditions, convex programming tools can be used for numerical purposes. Examples illustrate the theoretical results.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.508904