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arXiv · 2305.09354

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

Nicole Gehring·Abdurrahman Irscheid·Joachim Deutscher·Frank Woittennek·Joachim Rudolph
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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.

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Nicole Gehring, Abdurrahman Irscheid, Joachim Deutscher, Frank Woittennek, Joachim Rudolph. 2023-05-16. Control of distributed-parameter systems using normal forms: An introduction. https://arxiv.org/abs/2305.09354

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