Benchmarking of Flatness-based Control of the Heat Equation
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.
Keywords
Cite
@article{arxiv.2307.16764,
title = {Benchmarking of Flatness-based Control of the Heat Equation},
author = {Stephan Scholz and Lothar Berger and Dirk Lebiedz},
journal= {arXiv preprint arXiv:2307.16764},
year = {2023}
}
Comments
9 Pages, 13 Figures