The \mathcal{H}_\infty Model Matching Problem with One Degree of Freedom Static State Feedback

Authors: MURAT AKIN, ATİLLA BİR

Abstract: The aim of this paper is to develop a new approach for a solution of the continuous-time model matching problem by a static state feedback in the sense of \mathcal{H}_\infty optimality criterion by using Linear Matrix Inequalities (LMIs). The main contribution could briefly be described as to reformulate the model matching problem in LMI formulation, to present the solvability conditions and to give a design procedure for the one degree of freedom static state feedback control law. Finally, the results are applied to an example system.

Keywords: Model Matching Problem, Linear Matrix Inequalities, \mathcal{H}_\infty Optimal Control Problem, One Degree of Freedom Static State Feedback

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