Boundary control of coupled reaction-advection-diffusion equations having the same diffusivity parameter^*

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• 作者：Alessandro Pisano^* ; ^{pisano@diee.unica.it" class="auth_mail" title="E-mail the corresponding author} ; Antonello Baccoli^* ; ^{antonello.baccoli@diee.unica.it" class="auth_mail" title="E-mail the corresponding author} ; Yury Orlov^** ; ^{yorlov@cicese.mx" class="auth_mail" title="E-mail the corresponding author} ; Elio Usai^* ; ^{eusai@diee.unica.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Distributed-parameter systems ; Reaction-advection-diffusion equation ; Boundary Control ; Backstepping
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：8
• 页码：86-91
• 全文大小：386 K

文摘

We consider the problem of boundary stabilization for a system of n coupled parabolic linear PDEs of the reaction-diffusion-advection type. Particularly, we design a state-feedback law with Dirichlet-type actuation on only one end of the domain and prove exponential stability of the closed-loop system with an arbitrarily fast convergence rate. The backstepping method is used for controller design, and the transformation kernel matrix is derived by using the method of successive approximations to solve the corresponding PDE. Simulation results support the effectiveness of the suggested design.