Open Access

ARTICLE

A New Approach to a Fuzzy Time-Optimal Control Problem

Ş. Emrah Amrahov¹, N. A. Gasilov², A. G. Fatullayev²
1 Computer Engineering Department, Ankara University, Turkey.
2 Baskent University, Ankara, 06810 Turkey.

Computer Modeling in Engineering & Sciences 2014, 99(5), 351-369. https://doi.org/10.3970/cmes.2014.099.351

Abstract

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.

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Keywords

Time-optimal control, fuzzy set, maximum principle, mathematical pendulum.

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