A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients

被引：41

作者：

Najariyan, Marzieh ^{[1
]}

Farahi, Mohamad Hadi ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 259卷

关键词：

Generalized derivative of fuzzy functions; Fuzzy time invariant system; Fuzzy optimal control; Fuzzy differential equation; Pontryagin maximum principle; Hamiltonian function; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.cam.2013.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a new technique for solving the linear time invariant dynamical system with fuzzy parameters is proposed. This approach is used to solve a fuzzy controlled system by using a-cuts and presentation of numbers in a more compact form by moving to the field of complex numbers. By considering a new feature of the Hamiltonian function and using the Pontryagin maximum principle, the solution of the fuzzy optimal controlled system is considered. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：682 / 694

页数：13

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