Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with the same diffusion
The objective of this paper is to extend the relaxed conditions on the existence of the backstepping controllers and observers obtained in a recent literature to the case of parabolic Partial Differential Equations (PDEs) with the same diffusion. Moreover, an observer-based output feedback controller is designed for the considered systems with the new conditions. Then, the corresponding exponential stability analysis is provided. Finally, the efficiency of the proposed method is shown by taking a simplified model of Chemical Tubular Reactor.