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arXiv · 2104.08025

A Reduced Order Controller for Output Tracking of a Kelvin-Voigt Beam

Lassi Paunonen·Duy Phan
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Abstract

We study output tracking and disturbance rejection for an Euler-Bernoulli beam with Kelvin-Voigt damping. The system has distributed control and pointwise observation. As our main result we design a finite-dimensional low-order internal model based controller that is based on a spectral Galerkin method and model reduction by Balanced Truncation. The performance of the designed controller is demonstrated with numerical simulations and compared to the performance of a low-gain internal model based controller.

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Lassi Paunonen, Duy Phan. 2021-04-16. A Reduced Order Controller for Output Tracking of a Kelvin-Voigt Beam. https://doi.org/10.1016/j.ifacol.2021.06.160

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