In this paper, a design method for a robust PI/PID controller for fuzzy parametric uncertain systems is proposed. An uncertain Linear Time Invariant (LTI) system with fuzzy coefficients is referred as fuzzy parametric uncertain system. The fuzzy coefficients are approximated by intervals (crisp sets) using the nearest interval approximation approach to obtain an interval system. Further, a robust controller is designed using a necessary condition and a sufficient condition for stability of the interval polynomial. These conditions are used to derive a set of inequalities in terms of controller parameters which are solved using linear programming (LP) optimization to obtain a robust controller. The numerical examples and simulation results successfully demonstrate the efficacy of the proposed method for design of robust PI/PID controller for fuzzy parametric uncertain systems.
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