Robust pole placement with Moore's algorithm

TL;DR

This paper introduces a new robust pole placement method using Moore's eigenstructure assignment combined with nonlinear optimization, demonstrating improved performance over existing techniques.

Contribution

It adapts Moore's eigenstructure assignment for robust pole placement and develops an unconstrained nonlinear optimization algorithm for enhanced robustness.

Findings

Algorithm outperforms existing robust pole placement methods

Numerical experiments validate improved robustness and accuracy

Provides a novel parametric gain matrix formulation

Abstract

We consider the classic problem of pole placement by state feedback. We adapt the Moore eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix, and introduce an unconstrained nonlinear optimization algorithm to obtain a gain matrix that will deliver robust pole placement. Numerical experiments indicate the algorithm's performance compares favorably against several other notable robust pole placement methods from the literature.