Moment matching based reduced closed-loop design to achieve asymptotic performance

TL;DR

This paper introduces a moment matching approach for designing reduced-order controllers that ensure closed-loop stability and desired asymptotic performance, linking internal model principles with moment matching.

Contribution

It presents a novel method connecting internal model principles to moment matching for reduced-order control design, enabling simpler controllers with guaranteed performance.

Findings

Reduced-order controllers maintain stability and performance

The method simplifies controller design process

The approach links internal model principle with moment matching

Abstract

In this paper, the moment matching techniques are adopted to obtain reduced-order closed-loop systems with reduced-order controllers that maintain the closed-loop stability and guarantee desired asymptotic performance, after revealing the relationship between the Internal Model Principle used in control design and the time-domain moment matching problem. As a result, the design of a low order controller can be done starting from considering the achieving of asymptotic performance as a moment matching problem, resulting in a reduced order closed-loop system.