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

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3 Author(s)
Geromel, J.C. ; Sch. of Electr. Eng., UNICAMP, Sao Paulo, Brazil ; Peres, P.L.D. ; Souza, S.R.

This paper addresses the problem of optimal H2 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 H2-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

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Automatic Control, IEEE Transactions on  (Volume:41 ,  Issue: 7 )