Exponential Stabilization of an Unstable Parabolic PDE System Using Boundary Optimal Control

摘要：

　　In this paper,we consider an unstable linear parabolic diffusion-reaction PDE system with an actuator at the right boundary via the Dirichlet condition.We begin to derive the first order necessary conditions for the open loop finite-time horizon problem using the classical variational approach.Then,we discuss the the state-feedback problem,and obtain the feedback law by formulating the Riccati partial differential equation (PDE).Finally,with the feedback law,we could prove the stability for the state-feedback problem exponential stability with any given decay rate in the time domain without solving the Riccati PDE.

关键词： Boundary Actuation Unstable PDE System Open Loop Control Closed Loop Stability

作者: Huachen Jiang Chao Xu

作者单位: Department of Mathematics,Zhejiang University,Hangzhou 310027,China;Lab of Information and Optimizat State Key Lab of Industrial Control Technology,Institute of Cyber-Systems & Control,Zhejiang Univers

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2167-2172

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）