Optimal boundary control of parabolic PDE with time-varying spatial domain

摘要：

This paper considers the optimal boundary control of reaction-diffusion process with time-varying spatial domain in the context of the Czochralski crystal growth process. A parabolic partial differential equation (PDE) model of the reaction-diffusion process which preserves the dynamical features attributed to the time-varying spatial domain is developed. The parabolic PDE is coupled to a second order ordinary differential equation (ODE) which describes the time-evolution of the spatial domain. The infinite-dimensional linear state space representation of the PDE system with control input at the boundary is reformulated into an abstract form and provides the framework for the optimal boundary control problem. The optimal control law is determined and numerical results of the closed-loop system are provided.

作者: James Ng Stevan Dubljevic

作者单位: Department of Chemical & Materials Engineering, University of Alberta, Canada, T6G 2V4

会议类型: 国际会议

会议名称: 2011 International Symposium on Advanced Control of Industrial Processes(2011工业过程先进控制技术国际研讨会)

会议地点: 杭州

会议语种:英文

页码: 216-221

在线出版日期: 2011-05-01（万方平台首次上网日期，不代表论文的发表时间）