Journal
AUTOMATICA
Volume 138, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2022.110159
Keywords
Output regulation; Disturbance rejection; Adaptive observer; Heat equation
Funding
- National Natural Science Foundation of China [12131008]
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This paper considers output regulation for a 1-d heat equation using an adaptive observer internal model approach to estimate unknown frequencies and achieve output regulation and disturbance rejection for this PDE.
In this paper, we consider output regulation for a 1-d heat equation where the disturbances generated from an unknown finite-dimensional exosystem enter all possible channels. We adopt adaptive observer internal model approach which has been well developed for lumped parameter systems over two decades to estimate all possible unknown frequencies that have entered into a transformed system. By the estimates of the unknown frequencies, we are able to design a tracking error based feedback control to achieve output regulation and disturbance rejection for this PDE. A significance of the problem lies in the fact that both the control and observation operators are unbounded. The proposed approach is potentially applicable to other PDEs. (C)& nbsp;2022 Elsevier Ltd. All rights reserved.
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