Local output feedback stabilization of reaction-diffusion PDEs with saturated measurement - Multidisciplinary Institute in Artificial intelligence - Grenoble Alpes
Journal Articles IMA Journal of Mathematical Control and Information Year : 2022

Local output feedback stabilization of reaction-diffusion PDEs with saturated measurement

Abstract

This paper addresses the topic of output feedback stabilization of general 1-D reaction-diffusion PDEs in the presence of a saturation in the measurement. The boundary control and the second boundary condition take the form of Dirichlet/Neumann/Robin boundary conditions. The measurement is selected as a boundary Dirichlet trace. The boundary measurement, as available for feedback control, is assumed to be subject to a saturation. In this context, we achieve the local exponential stabilization of the reactiondiffusion PDE while estimating a subset of the domain of attraction of the origin.
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Dates and versions

hal-03665192 , version 1 (11-05-2022)

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Cite

Hugo Lhachemi, Christophe Prieur. Local output feedback stabilization of reaction-diffusion PDEs with saturated measurement. IMA Journal of Mathematical Control and Information, 2022, 39 (2), pp.789-805. ⟨10.1093/imamci/dnac008⟩. ⟨hal-03665192⟩
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