Control of distributed-parameter systems using normal forms: an introduction-Reference-Cited by-同舟云学术

Control of distributed-parameter systems using normal forms: an introduction

Published:2023-08-01 Issue:8 Volume:71 Page:624-646
ISSN:0178-2312
Container-title:at - Automatisierungstechnik
language:en
Short-container-title:

Author:

Gehring Nicole¹,Irscheid Abdurrahman²,Deutscher Joachim³,Woittennek Frank⁴,Rudolph Joachim²

Affiliation:

1. Institute of Automatic Control and Control Systems Technology , Johannes Kepler University Linz , Linz , Austria

2. Chair of Systems Theory and Control Engineering , Saarland University , Saarbrücken , Germany

3. Institute of Measurement, Control and Microtechnology , Ulm University , Ulm , Germany

4. Institute of Automation and Control Engineering , UMIT TIROL – Private University for Health Sciences and Health Technology , Hall in Tirol , Austria

Abstract

Abstract This paper gives an overview of the control of distributed-parameter systems using normal forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods derive tracking controllers by mapping the system into a form that is advantageous for the control design, analogous to the finite-dimensional case. A flatness-based controller makes use of the hyperbolic controller canonical form that follows from a parametrization of the system’s solutions. A backstepping design exploits the strict-feedback form of the system to recursively stabilize and transform the subsystems.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Computer Science Applications,Control and Systems Engineering

Link

https://www.degruyter.com/document/doi/10.1515/auto-2023-0051/pdf

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