Optimization method for solving bang-bang and singular control problems

被引：0

作者：

Shurong LI ^{[1
]}

Ruiyan ZHAO ^{[1
]}

Qiang ZHANG ^{[1
]}

机构：

[1] College of Information and Control Engineering,China University of Petroleum

来源：

Control Theory and Technology | 2012年 / 10卷 / 04期

关键词：

Bang-bang control; Singular control; Multi-stage problem; Nonlinear programming problem;

D O I：

暂无

中图分类号：

O232 [最优控制];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

In this paper we study optimal control problems with the control variable appearing linearly.A novel method for optimization with respect to the switching times of controls containing both bang-bang and singular arcs is presented.This method transforms the control problem into a finite-dimensional optimization problem by reformulating the control problem as a multi-stage optimization problem.The optimal control problem is partitioned as several stages, with each stage corresponding to a particular control arc.A control vector parameterization approach is applied to convert the control problem to a static nonlinear programming(NLP) problem.The control profiles and stage lengths act as decision variables.Based on the Pontryagin maximal principle,a multi-stage adjoint system is constructed to calculate the gradients required by the NLP solvers.Two examples are studied to demonstrate the effectiveness of this strategy.

引用

页码：559 / 564

页数：6

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