Numerical Computation for a Kind of Time Optimal Control Problem for the Tubular Reactor System
Joint Authors
Zeng, Detang
Huang, Jingfang
Tan, Chunqing
Yu, Xin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zeng, Detang& Yu, Xin& Huang, Jingfang& Tan, Chunqing. 2018. Numerical Computation for a Kind of Time Optimal Control Problem for the Tubular Reactor System. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209709
Modern Language Association (MLA)
Zeng, Detang…[et al.]. Numerical Computation for a Kind of Time Optimal Control Problem for the Tubular Reactor System. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209709
American Medical Association (AMA)
Zeng, Detang& Yu, Xin& Huang, Jingfang& Tan, Chunqing. Numerical Computation for a Kind of Time Optimal Control Problem for the Tubular Reactor System. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209709
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209709