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State observer design for Direct Contact Membrane Distillation Parabolic systems

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Abstract

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.
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Dates and versions

hal-01876673 , version 1 (12-10-2018)

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Mohamed Ghattassi, Jean-Claude Vivalda, Taous Meriem Laleg-Kirati. State observer design for Direct Contact Membrane Distillation Parabolic systems. ACC 2018 - American Control Conference, Jun 2018, Milwaukee, United States. ⟨10.23919/ACC.2018.8431155⟩. ⟨hal-01876673⟩
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