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

Autor:	Hugo Lhachemi, Christophe Prieur
Rok vydání:	2022
Předmět:	Control and Optimization Control and Systems Engineering Applied Mathematics
Zdroj:	IMA Journal of Mathematical Control and Information. 39:789-805
ISSN:	1471-6887 0265-0754
Popis:	This paper addresses the topic of output feedback stabilization of general one-dimensional reaction–diffusion partial differential equations (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 reaction–diffusion PDE while estimating a subset of the domain of attraction of the origin.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3ef00203482db93425dc200541f28af7 https://doi.org/10.1093/imamci/dnac008 Zobrazit plný text záznamu