Journal
AUTOMATICA
Volume 47, Issue 11, Pages 2468-2473Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2011.08.033
Keywords
Output regulation; Distributed-parameter system; Finite-dimensional controller; Dual observer; Eigenvalue assignment; Static output feedback
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In this article, the solution of the output regulation problem is considered for linear infinite-dimensional systems where the outputs to be controlled cannot be measured. It is shown that this problem can be solved by a finite-dimensional dual observer that is directly implementable so that the separation principle can be applied for the stabilization as in finite dimensions. A parametric design of these dual observers is proposed for Riesz-spectral systems that allows to achieve a low controller order and a desired control performance for the closed-loop system. The presented results are illustrated by determining a finite-dimensional regulator for an Euler-Bernoulli beam with Kelvin-Voigt damping that achieves tracking for steplike reference inputs and that asymptotically rejects sinusoidal disturbances. (C) 2011 Elsevier Ltd. All rights reserved.
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