Abstract
Abstract This paper deals with designing robust PID controllers for fuzzy parametric uncertain systems to meet desired specification levels for different plants in a family. Controllers are designed to map a fuzzy plant onto a desired fuzzy set of closed loop specifications. The general pole placement technique which places closed loop poles in desired locations in the s-plane is discussed for linear plants with fuzzy parametric uncertainty. The controller coefficients are determined by solving a fuzzy linear system of equations (FLSE) where the solution is crisp rather than fuzzy. Hence the controller is a crisp robust controller. Fuzzy arithmetic is used to solve the system for α-cuts. The proposal is supported by solving numerical examples and simulation results show the effectiveness of the proposed method in designing robust PID controllers.
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