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A Lyapunov Approach to Robust Regulation of Distributed Port–Hamiltonian Systems

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This article studies robust output tracking and disturbance rejection for boundary-controlled infinite-dimensional Port–Hamiltonian systems including second-order models such as the Euler–Bernoulli beam equation. The control design is achieved using the… Click to show full abstract

This article studies robust output tracking and disturbance rejection for boundary-controlled infinite-dimensional Port–Hamiltonian systems including second-order models such as the Euler–Bernoulli beam equation. The control design is achieved using the internal model principle and the stability analysis using a Lyapunov approach. Contrary to existing works on the same topic, no assumption is made on the external well-posedness of the considered class of PDEs. The results are applied to robust tracking of a piezo actuated tube used in atomic force imaging.

Keywords: lyapunov approach; hamiltonian systems; port hamiltonian; approach robust; robust regulation

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2021

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