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A Reduced Order Controller for Output Tracking of a Kelvin-Voigt Beam (2104.08025v1)
Published 16 Apr 2021 in math.OC, cs.NA, math.AP, math.FA, and math.NA
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.