A new approach to a fuzzy time-optimal control problem

被引：0

作者：

Amrahov, Ş. Emrah ^{[1
]}

Gasilov, N.A. ^{[2
]}

Fatullayev, A.G. ^{[2
]}

机构：

[1] Computer Engineering Department, Ankara University, Turkey

[2] Baskent University, Ankara,06810 Turkey, Turkey

来源：

CMES - Computer Modeling in Engineering and Sciences | 2014年 / 99卷 / 05期

关键词：

Controlled objects - Mathematical pendulum - New approaches - Optimal time - Phase state - System of differential equations - Time optimal control - Time-optimal control problems;

D O I：

10.3970/cmes.2014.099.351

中图分类号：

学科分类号：

摘要：

In this paper, we present a new approach to a time-optimal control problem with uncertainties. The dynamics of the controlled object, expressed by a linear system of differential equations, is assumed to be crisp, while the initial and final phase states are fuzzy sets. We interpret the problem as a set of crisp problems. We introduce a new notion of fuzzy optimal time and transform its calculation to two classical time-optimal control problems with initial and final sets. We examine the proposed approach on an example which is a problem of fuzzy control of mathematical pendulum. Copyright © 2014 Tech Science Press.

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页码：351 / 369

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