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