Non-fragile sampled-data control for semilinear parabolic PDE systems

Zi-Peng Wang,Huai-Ning Wu,Han-Xiong Li

doi:10.1109/cac.2017.8243588

Non-fragile sampled-data control for semilinear parabolic PDE systems

Zi-Peng Wang, Huai-Ning Wu + Show 1 more

https://doi.org/10.1109/cac.2017.8243588

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Publication Date: Oct 1, 2017

Citations: 14

Affiliation: University of Jinan, Beihang University, City University of Hong Kong

#Semilinear Parabolic Partial Differential Equation #Parabolic Partial Differential Equation System + Show 8 more

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Abstract

This paper considers the non-fragile sampled-data (SD) control problem of semilinear parabolic partial differential equation (PDE) systems. By using a Lyapunov functional (LF), a non-fragile SD controller is proposed to stabilize exponentially the PDE system. The stabilization condition is presented by linear matrix inequalities (LMIs). Finally, simulation results are provided to control the the FitzHugh-Nagumo (FHN) equation for illustrating the effectiveness of the proposed design method.

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