A Design Method of the Optimal PID Controller for a Two Disk Type Mixed Sensitivity Problem

Abstract

A design method of PID controller for a two disk type mixed sensitivity problem is proposed. Permissible sets of PID gains which satisfy constraints on the sensitivity and complementary sensitivity functions are obtained at each frequency and a solution can be obtained as the intersection of these parameter sets and an optimal solution can be obtained by this method. The datum necessary for the design is the frequency response of the plant and no mathematical model is necessary. The algorithm is simple and easy for programming. A few numerical examples are given.