Robust eigenvalue assignment via particle swarm optmization methods

Abstract

We consider the classic problem of robust pole assignment for a linear time invariant plant with state feedback. We employ a parametric formula for the pole placing feedback matrix and implement a particle swarm optimization to seek a gain matrix that will achieve a robust pole assignment, by minimizing the sensitivity of the eigenvalues to uncertainties in the matrices. The performance of the algorithm is compared against several alternative methods from the recent literature.