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A New Approach to a Fuzzy Time-Optimal Control Problem

Ş. Emrah Amrahov1, N. A. Gasilov2, A. G. Fatullayev2

Computer Engineering Department, Ankara University, Turkey.
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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APA Style
Amrahov, Ş.E., Gasilov, N.A., Fatullayev, A.G. (2014). A new approach to a fuzzy time-optimal control problem. Computer Modeling in Engineering & Sciences, 99(5), 351-369. https://doi.org/10.3970/cmes.2014.099.351
Vancouver Style
Amrahov ŞE, Gasilov NA, Fatullayev AG. A new approach to a fuzzy time-optimal control problem. Comput Model Eng Sci. 2014;99(5):351-369 https://doi.org/10.3970/cmes.2014.099.351
IEEE Style
Ş.E. Amrahov, N.A. Gasilov, and A.G. Fatullayev "A New Approach to a Fuzzy Time-Optimal Control Problem," Comput. Model. Eng. Sci., vol. 99, no. 5, pp. 351-369. 2014. https://doi.org/10.3970/cmes.2014.099.351



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