NUMERICAL SOLUTION OF LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS FOR SWITCHING SYSTEMS

被引：1

作者：

Meherrem, Shahlar ^{[1
]}

Gucoglu, Deniz H. ^{[1
]}

Guliyev, Samir ^{[2
]}

机构：

[1] Yasar Univ, Dept Math, Izmir, Turkey

[2] Azerbaijan State Oil & Ind Univ, Inst Control Syst ANAS, Baku, Azerbaijan

来源：

MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 02期

关键词：

optimal control; switching system; numerical solution; finite approximation; MAXIMUM PRINCIPLE; HYBRID CONTROL; DECOMPOSITION;

D O I：

10.18514/MMN.2018.2380

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss the approach for optimal switching control problem with unknown switching points. The case with unknown switching point is more general and generalizes the results existing in the literature. By using suitable transformation, the main problem is reduced into a problem with known interval and further the unknown boundary of the integral in the minimization functional is reduced to the known one. This fact is illustrated by an example. The reduced problem is solved numerically by using the Gradient Projection Method Algorithm.

引用

页码：1035 / 1045

页数：11