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arXiv · 2307.16764

Benchmarking of Flatness-based Control of the Heat Equation

Stephan Scholz·Lothar Berger·Dirk Lebiedz
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Abstract

Flatness-based control design is a well established method to generate open-loop control signals. Several articles discuss the application of flatness-based control design of (reaction-) diffusion problems for various scenarios. Beside the pure analytical derivation also the numerical computation of the input signal is crucial to yield a reliable trajectory planning. Therefore, we derive the input signal step-by-step and describe the influence of system and controller parameters on the computation of the input signal. In particular, we benchmark the control design of the one-dimensional heat equation with Neumann-type boundary actuation for pure aluminum and steel 38Si7, and discuss the applicability of the found input signals for realistic scenarios.

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Stephan Scholz, Lothar Berger, Dirk Lebiedz. 2023-07-13. Benchmarking of Flatness-based Control of the Heat Equation. https://arxiv.org/abs/2307.16764

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