TY  - EJOU
AU  - Amrahov, Ş. Emrah  
AU  - Gasilov, N. A.  
AU  - Fatullayev, A. G.  

TI  - A New Approach to a Fuzzy Time-Optimal Control Problem
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 99
IS  - 5
SN  - 1526-1506

AB  - 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.
KW  - Time-optimal control
KW  -  fuzzy set
KW  -  maximum principle
KW  -  mathematical pendulum

DO  - 10.3970/cmes.2014.099.351