Optimal control of the delay linear systems with allowance for the terminal state constraints

被引:4
|
作者
Gabasov, R. [1 ]
Grushevich, O. P. [1 ]
Kirillova, F. M. [2 ]
机构
[1] Belarusian State Univ, Minsk 220050, BELARUS
[2] Belarussian Natl Acad Sci, Inst Math, Minsk, BELARUS
关键词
Algorithms - Constraint theory - Feedback - Mathematical models - Optimal control systems - Real time control;
D O I
10.1134/S0005117907120016
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Consideration was given to the linear problem of optimal control of one type of the delay systems where the delay appears in one equation of the system mathematical model. The terminal states of the system are bounded, the optimal control is realized by the discrete control actions obeying the geometrical constraints. Consideration was given to two types of solutions-program and positional. A dual method of calculation of the optimal programs was presented. Described was an algorithm of the optimal controller generating in real time the current values of the positional solution (optimal feedback). The results obtained were illustrated by the example of control of a system with the fourth-order delay.
引用
收藏
页码:2097 / 2112
页数:16
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