Boundary Control for a Class of Reaction-diffusion Systems

被引：0
|
作者：
Yuan-Chao Si [1 ,2 ]
Cheng-Kang Xie [1 ]
Na Zhao [1 ]
机构：
[1] School of Mathematics and System Science, Southwest University
[2] School of Mathematics and System Science, Guizhou University
来源：
International Journal of Automation and Computing | 2018年 / 01期
关键词：
Stability; reaction-diffusion system; boundary control; backstepping; partial differential equation;
D O I：
暂无
中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要：
Boundary control for a class of partial integro-differential systems with space and time dependent coefficients is considered. A control law is derived via the partial differential equation(PDE) backstepping. The existence of kernel equations is proved.Exponential stability of the closed-loop system is achieved. Simulation results are presented through figures.
引用
收藏
页码：94 / 102
页数：9
相关论文
共 6 条
  • [1] Output Feedback Tracking Control for a Class of Switched Nonlinear Systems with Time-varying Delay[J]. Bin Wang,Jun-Yong Zhai,Shu-Min Fei.International Journal of Automation & Computing. 2014(06)
  • [2] Tracking Control of a Class of Differential Inclusion Systems via Sliding Mode Technique[J]. Lei-Po Liu,Zhu-Mu Fu,Xiao-Na Song.International Journal of Automation & Computing. 2014(03)
  • [3] Local exponential stabilization of Fisher’s equation using the backstepping technique[J] . Xin Yu,Chao Xu,Jian Chu.Systems & Control Letters . 2014
  • [4] Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness[J] . Thomas Meurer,Andreas Kugi.Automatica . 2009 (5)
  • [5] Control of an unstable reaction–diffusion PDE with long input delay[J] . Miroslav Krstic.Systems & Control Letters . 2009 (10)
  • [6] On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
    Smyshlyaev, A
    Krstic, M
    [J]. AUTOMATICA, 2005, 41 (09) : 1601 - 1608
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