Optimal H/sub 2/ control by output feedback

This paper addresses the problem of optimal H/sub 2/ control by output feedback. Necessary and sufficient conditions concerning 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/sup 2/ guaranteed cost output feedback control. Due to the geometrical properties of the above mentioned function, convex programming tools can be used for numerical purposes.<<ETX>>

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