Schur Method for Robust Pole Assignment of Descriptor Systems via Proportional Plus Derivative State Feedback

TL;DR

This paper introduces a direct method using proportional plus derivative state feedback for robust pole assignment in descriptor systems, ensuring high accuracy and system stability.

Contribution

It presents a novel direct approach with theoretical feasibility and demonstrates improved pole accuracy through numerical examples.

Findings

Poles of high relative accuracy achieved

Method is feasible for robust pole assignment

Numerical examples validate effectiveness

Abstract

The pole assignment problem for descriptor systems is a classical inverse algebraic eigenvalue problem, which has attracted attention for decades. In this paper, we propose a direct method to solve the problem with the application of the proportional plus derivative state feedback, intending to obtain a robust closed-loop system. Theorems on the feasibility of our method will be presented. Numerical examples show that our method yields poles of high relative accuracy.