Particle Swarm Optimization on D-stable IIR filter design

Abstract

This paper explores the design of robust stable digital filter by the Particle Swarm Optimization (PSO) algorithm. The results are compared to the design by Genetic Algorithm (GA). We first derive a robust stability criterion which will be used to ensure the D(α, r) -stability of the digital filter in the evolution of DE. Finally, we will compare the result designed by DE with that designed by GA. It will be found that the performance of the PSO is better that that of GA in the design example of this paper.