Time optimal control of a thermoelastic system
type: Item
instance of: scholarly article
title: Time optimal control of a thermoelastic system
zbMATH Open document ID: 1426.74121
DOI: 10.1155/2017/6047670
author: Qiyu Liu
author: Qunxiong Zhu
author: Zhiqiang Geng
author: Long-Jin Lv
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper considers the numerical approximation for the time optimal control problem of a thermoelastic system with some control and state constraints. By the Galerkin finite element method (FEM), the original problem is projected into a semidiscrete optimal control problem governed by a system of ordinary differential equations. Then the optimal time and control parameterization method is applied to reduce the original system to an optimal parameter selection problem, in which both the optimal time and control are taken as decision variables to be optimized. This problem can be solved as a nonlinear optimization problem by a hybrid algorithm consisting of chaotic particle swarm optimization (CPSO) and sequential quadratic programming (SQP) algorithm. The numerical simulations demonstrate the effectiveness of the proposed numerical approximation method.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6972284
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6047670
OpenAlex ID: W2620502344
Wikidata QID: Q59147656
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description: scientific article; zbMATH DE number 6972284