A computational method for free terminal time optimal control problem governed by nonlinear time delayed systems

被引：9
|
作者：
Chai, Qinqin [1 ]
Wang, Wu [1 ]
机构：
[1] Fuzhou Univ, Coll Elect Engn & Automat, Fuzhou, Fujian, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 53卷
基金：
中国国家自然科学基金;
关键词：
Time delayed system; Free terminal time; Optimal control computation; Fully informed particle swarm optimization; Fishery control problem; PARTICLE SWARM; OPTIMIZATION;
D O I：
10.1016/j.apm.2017.08.023
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper considers a free terminal time optimal control problem governed by nonlinear time delayed system, where both the terminal time and the control are required to be determined such that a cost function is minimized subject to continuous inequality state constraints. To solve this free terminal time optimal control problem, the control parameterization technique is applied to approximate the control function as a piecewise constant control function, where both the heights and the switching times are regarded as decision variables. In this way, the free terminal time optimal control problem is approximated as a sequence of optimal parameter selection problems governed by nonlinear time delayed systems, each of which can be viewed as a nonlinear optimization problem. Then, a fully informed particle swarm optimization method is adopted to solve the approximate problem. Finally, two free terminal time optimal control problems, including an optimal fishery control problem, are solved by using the proposed method so as to demonstrate its applicability. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：242 / 250
页数：9
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