SOLUTION OF NONDIFFERENTIABLE OPTIMIZATION PROBLEM FOR OBJECT WITH DISTRIBUTED PARAMETERS BASED ON QUASI-ASYMPTOTIC APPROXIMATE MODEL

被引:1
|
作者
Diligenskiy, N. V. [1 ]
Efimov, A. P. [1 ]
机构
[1] Samara State Tech Univ, Dept Management & Syst Anal Heat Power Ind, 244 Molodogvardeyskaya St, Samara 443100, Russia
来源
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2011年 / 04期
关键词
time-optimal problem; quasi-asymptotic model of heating process; error of model; problem of nondifferentiable optimization; spline approximation method;
D O I
10.14498/vsgtu1019
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The possibility of approximate quasi-asymptotic models application is considered on an example of the solution of a time-optimal heating problem. To solve an optimal control problem the numerical algorithm has been used on the basis of spline extrapolation of the minimized field at each iteration. It is shown that this approach to the time-optimal control problem can provide with negligible error the determination of maximum admissible accuracy and interval durations for one-, two-, and three- stage control.
引用
收藏
页码:118 / 124
页数:7
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