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一类耦合系统的Neumann边界控制设计

Neumann Boundary Control Design for a Class of Coupled Systems
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摘要 研究了一类线性耦合反应扩散系统通过热量扩散实现间接控制的问题。通过选取适当的Volterra变换,运用Backsteeping方法设计出具体的Neumann边界控制器,从而得到闭环系统的稳定性定理。 In this paper, a class of linear coupled reaction-diffusion systems for indirect controller by heat diffusion have been studied. By choosing appropriate transformation, and using Backstepping method, a Neumann boundary controller was designed, at the same time ,the theorem of the stability of closed-loop system is obta- ined.
作者 赵爱亮
机构地区 遵义师范学院
出处 《遵义师范学院学报》 2015年第4期111-112,129,共3页 Journal of Zunyi Normal University
基金 贵州省科技厅联合基金资助项目(黔科合LH字[2015]7007号)
关键词 线性系统 Backsteeping方法 热方程 linear system backstepping method heat equation
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参考文献4

  • 1S Tang,C Xie.State and output feedback boundary control for a coupled PDE-ODE system[J]. Systems & Control Letters, 2011,(60):540-545.
  • 2G A Susto, M Krstic.Control of PDE-ODE cascades with ne- umann interconnections[J].Journal of the Franklin Institute, 2011,(347):284-314.
  • 3Ailiang Zhao,Chengkang Xie.Stabilization of coupled linear plant and reaction-diffusion process[J]. Journal of Franklin In- stitute, 2014,(351): 857-877.
  • 4M Krstic,A Smyshlyaev.Boundary control ofPDEs: A course on backstepping designs[M].Philadelphia:SIAM,2008.

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