Optimal Control of Nonlinear Time Delay Parabolic PDE

被引:0
|
作者
Sun, Ji [1 ]
Huang, Jianxin [1 ]
机构
[1] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing, Jiangsu, Peoples R China
关键词
parabolic PDE; nonlinear time delay system; optimal control; Input/state constraints; measure theory; linear optimization; SYSTEMS; STATE;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the nearly-optimal control problem of nonlinear time delay parabolic equations. The optimal control problem is expressed as a minimization formulation, which has a linear form over a set of positive measures satisfying linear constraints. Then the proposed minimization problem is approximated by a finite dimensional linear programming problem, and the optimal control law of piecewise constant function is obtained from the linear programming problem, a numerical example is given to illustrate the effectiveness.
引用
收藏
页码:1220 / 1224
页数:5
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