Shooting Methods to Solve Optimal Control Problems with State and Mixed Control-State Constraints

被引：3

作者：

Karbowski, Andrzej ^{[1
,2
]}

机构：

[1] Warsaw Univ Technol, Inst Control & Computat Engn, Warsaw, Poland

[2] Res & Acad Comp Network, NASK, Warsaw, Poland

来源：

CHALLENGES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES | 2016年 / 440卷

关键词：

Optimal control; Numerical methods; State constraints; Mixed control-state constraints; Lagrange functionals; Shooting method; Multiple shooting method; Boundary value problem; NUMERICAL-SOLUTION; INEQUALITY CONSTRAINTS;

D O I：

10.1007/978-3-319-29357-8_17

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper presents two important approaches to solve numerically general optimal control problems with state and mixed control-state constraints. They may be attractive in the case, when the simple time discretization of the state equations and expressing the optimal control problem as a nonlinear mathematical programming problem is not sufficient. At the beginning an extension of the optimal control theory to problems with constraints on current state and on current state and control simultaneously is presented. Then, two approaches to solve numerically the emerging boundary value problems: indirect and direct shooting method are described and applied to an example problem.

引用

页码：189 / 205

页数：17

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