A Design Method of Robust Non - Fragile Guaranteed Cost Controllers for Linear Systems with Structured Uncertainties

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This paper deals with a design problem of robust non-fragile stabilizing controllers with guaranteed cost for linearsystems with structured uncertainties. In this paper, we consider two classes of control gain perturbations and show thatsufficient conditions for the existence of the robust non-fragile guaranteed cost controller are given in terms of linearmatrix inequalities (LMIs). Additionally, a design method of optimal robust non-fragile guaranteed cost controllers whichminimize an upper bound on a given quadratic cost function is discussed. Finally, numerical examples are presented todemonstrate the effectiveness of the proposed robust non-fragile controller.

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