Frequency-Domain Data-Driven Controller Synthesis for Unstable LPV Systems

TL;DR

This paper develops a frequency-domain data-driven control synthesis method for unstable LPV systems, enabling controller design directly from measurement data without explicit plant models.

Contribution

It introduces a novel frequency-domain analysis and synthesis approach for LPV systems that relies solely on measurement data, extending LTI methods to unstable, parameter-varying systems.

Findings

Successful control synthesis on an unstable nonlinear system

Controller ensures local internal stability and $\\mathcal{H}_\infty$-performance

Method does not require explicit plant models

Abstract

Synthesizing controllers directly from frequency-domain measurement data is a powerful tool in the linear time-invariant framework. Ever-increasing performance requirements necessitate extending these approaches to account for plant variations. The aim of this paper is to develop frequency-domain analysis and synthesis conditions for local internal stability and $\mathcal{H}_\infty$-performance of single-input single-output linear parameter-varying systems. The developed synthesis procedure only requires frequency-domain measurement data of the system and does not need a parametric model of the plant. The capabilities of the synthesis procedure are demonstrated on an unstable nonlinear system.