Design of PID Controller Satisfying Robust Performances

Abstract

In this paper, a method to compute an almost correct region of PID parameters which guarantees robust stability and several robust performances for systems with real uncertain parameters is proposed. The proposed method can be compute the region in a short computing time by adopting the following idea and technique : The first one is the computational strategy to avoid the unnecessary small splitting of the parameter space of the PID controller. The second one is adopting the idea of computational geometry approach to reduce the time for executing the algorithm. The third one is to use the Non-convex Polygon Interval Arithmetic (NPIA) to compute the “good” estimate of value sets of transfer functions.