Frequency-domain optimization of fixed-structure controllers

Journal article (2016)

Authors

E. van Solingen Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
J.W. van Wingerden Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
Tom Oomen Eindhoven University of Technology
Research Group
Team Raf Van de Plas (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2016 E. van Solingen, J.W. van Wingerden, T. Oomen
DOI
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https://doi.org/10.1002/rnc.3699
Decentralized control Fixed-structure control Frequency-domain H∞ controller design Grey-box system identification Nyquist stability criterion
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Published Date

2016

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Raf Van de Plas

Abstract

This paper aims to introduce a new approach to optimize the tunable controller parameters of linear parameterizable controllers. The presented approach is frequency-domain based and can therefore directly be used to tune, among others, proportional integral derivative controllers, low/high-pass filters, and notch filters, using a Frequency Response Function of the plant. The approach taken in this paper is to extract the tunable controller parameters into a diagonal matrix gain and absorb the remainder of the controller in the plant. Then, the generalized Nyquist stability criterion is exploited so as to impose stability and H∞ performance specifications on the closed-loop system. It is shown that the approach results in a convex feasibility problem for certain controller cases and can be reformulated such that it can also be used for grey-box system identification. Simulation and experimental examples demonstrate the efficacy of the approach.