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This paper proposes a state observer for a coupled two dimensional partial differential equations (PDEs) system used to describe the heat transfer in a membrane distillation system for water desalination. The mathematical model based on reaction-diffusion system is introduced. Sufficient conditions for the exponential convergence of the estimation error is presented using Lyapunov method. A numerical example is also provided to illustrate the effectiveness of the proposed observer.doi:10.23919/acc.2018.8431155 dblp:conf/amcc/GhattassiVL18 fatcat:mubsjtjhz5ai5hcl7gvwujxts4