Constrained Optimal Control for a Class of Semilinear Infinite Dimensional Systems

被引：9
|
作者：
Zerrik, El Hassan [1 ]
El Boukhari, Nihale [1 ]
机构：
[1] MACS Team, Fac Sci, Meknes, Morocco
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2018年 / 24卷 / 01期
关键词：
Infinite dimensional systems; Semilinear systems; Optimal control; Control-constraints; Transport equation; Wave equation;
D O I：
10.1007/s10883-016-9358-z
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 aim of this paper is to investigate a constrained optimal control problem governed by a class of semilinear infinite dimensional systems. For a state-quadratic cost functional and a closed convex set of admissible controls, the existence of an optimal control is proven, then this control is characterized for several cases of constraints. An algorithm is developed in order to compute the optimal control. The results are illustrated through simulations of a transport equation and a wave equation.
引用
收藏
页码：65 / 81
页数：17
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