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

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