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Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups

Abstract : This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a feedback law based on the so-called forwarding approach. For small constant perturbations, we give sufficient conditions for the existence of a locally exponentially stable equilibrium at which the output coincides with the reference. Under additional assumptions, global asymptotic stability is achieved. All these conditions are investigated in the case of semilinear systems, and examples of application are given.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03540759
Contributor : Nicolas Vanspranghe Connect in order to contact the contributor
Submitted on : Monday, January 24, 2022 - 11:13:28 AM
Last modification on : Friday, May 13, 2022 - 2:44:25 PM

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  • HAL Id : hal-03540759, version 1
  • ARXIV : 2201.10146

Citation

Nicolas Vanspranghe, Lucas Brivadis. Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups. 2022. ⟨hal-03540759⟩

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