An Application of Generalized Fuzzy Hyperbolic Model for Solving Fractional Optimal Control Problems with Caputo-Fabrizio Derivative

被引：14
|
作者：
Mortezaee, Marzieh [1 ]
Ghovatmand, Mehdi [1 ]
Nazemi, Alireza [1 ]
机构：
[1] Shahrood Univ Technol, Fac Math Sci, Shahrood, Iran
来源：
NEURAL PROCESSING LETTERS | 2020年 / 52卷 / 03期
关键词：
Fractional optimal control problems; Caputo-Fabrizio derivative; Optimality conditions; Fuzzy system; Generalized fuzzy hyperbolic model; Optimization; NUMERICAL-SOLUTION; COLLOCATION METHOD; RITZ METHOD; SYSTEMS; FORMULATION; DESIGN; IDENTIFICATION; POLYNOMIALS;
D O I：
10.1007/s11063-020-10334-4
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we present a new approach for solving a class of fractional optimal control problems based on generalized fuzzy hyperbolic model. The fractional derivatives are described in the Caputo-Fabrizio sense. In order to solve this problem, the necessary optimality conditions associated to the fractional optimal control problem is first derived. The solution of these conditions is then approximated by fuzzy solution based on generalized fuzzy hyperbolic model. A learning algorithm is used to achieve the adjustable parameters of the obtained fuzzy solution. In order to confirm the efficiency and accuracy of the proposed approach, some illustrative examples are implemented.
引用
收藏
页码：1997 / 2020
页数：24
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