State Feedback Q-Stabilization With Robust H_{\infty} Performance For Systems with LFT Based Parametric Uncertainty

Adrian-Mihail Stoica

Abstract


The paper presents a state feedback stabilization method for uncertain systems
subjected to parametric time-varying structured uncertainty. The proposed design
approach also allows to obtain an imposed robust H_{\infty} performance with respect to the
class of uncertainty considered. Necessary and sufficient conditions for the existence of
such a state feedback control are derived in terms of the feasibility of a system of linear
matrix inequalities. An application of the theoretical developments concerning the
prevention of pilot induced oscillations occurrence is also presented.

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