Numerical Computation for a Kind of Time Optimal Control Problem for the Tubular Reactor System. (4th April 2018)

• Record Type: Journal Article
• Authors: Zeng, Detang; Yu, Xin; Huang, Jingfang; Tan, Chunqing
• Other Names: Floquet Thierry Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-04-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/9580470
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper is devoted to the study of numerical computation for a kind of time optimal control problem for the tubular reactor system. This kind of time optimal control problem is aimed at delaying the initiation time τ of the active control as late as possible, such that the state governed by this controlled system can reach the target set at a given ending time T . To compute the time optimal control problem, we firstly approximate the original problem by finite element method and get a new approximation time optimal control problem governed by ordinary differential equations. Then, through the control parameterization method and time-scaling transformation, the approximation problem becomes an optimal parameter selection problem. Finally, we use Sequential Quadratic Program algorithm to solve the optimal parameter selection problem. A numerical simulation is given for illustration.