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

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.

13 pages, 7 figures. Preprint of a conference paper in the Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems

References in corpus (3)

• Controller Design for Robust Output Regulation of Regular Linear Systems
• Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems
• Reduced Order Controller Design for Robust Output Regulation