A computational method for a class of non-standard time optimal control problems involving multiple time horizons

被引：9

作者：

Farhadinia, B. ^{[2
]}

Teo, K. L. ^{[1
]}

Loxton, R. C. ^{[1
]}

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA, Australia

[2] Univ Mohaghegh Ardabil, Dept Math, Ardebil, Iran

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 7-8期

关键词：

Optimal control problem; Multiple time horizons; Discrete filled function method; Time scaling transformation; Control parametrization enhancing technique;

D O I：

10.1016/j.mcm.2008.08.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider a class of non-standard time optimal control problems involving a dynamical system consisting of multiple subsystems evolving over different time horizons. Different subsystems are required to reach their respective target sets at different termination times. The goal is to minimize the maximum of these termination times. By introducing a discrete variable to represent the system termination ordering, were formulate this problem as a discrete optimization problem. A discrete filled function method is developed to solve this discrete optimization problem. For illustration, a numerical example is solved. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1682 / 1691

页数：10

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