Approximating the Solution of Optimal Control Problems by Fuzzy Systems

被引：17

作者：

Pakdaman, Morteza ^{[1
,2
]}

Effati, Sohrab ^{[1
,2
]}

机构：

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

[2] Ferdowsi Univ Mashhad, Ctr Excellence Soft Comp & Intelligent Informat P, Mashhad, Iran

来源：

NEURAL PROCESSING LETTERS | 2016年 / 43卷 / 03期

关键词：

Pontryagin minimum principle; Optimal control problem; Fuzzy system; VARIATIONAL ITERATION METHOD; CONSTRAINED OPTIMAL-CONTROL;

D O I：

10.1007/s11063-015-9440-7

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, the ability of fuzzy systems is used to estimate the solution of crisp optimal control problems. To solve an optimal control problem, first the well-known Euler-Lagrange conditions are obtained and then, the solution of these conditions is approximated by defining a trial solution based on fuzzy systems. The parameters of fuzzy systems are adjusted by an optimization algorithm. Numerical examples and comparisons with exact solutions reveal the capability and accuracy of proposed method.

引用

页码：667 / 686

页数：20

共 50 条

[1] Approximating the Solution of Optimal Control Problems by Fuzzy Systems
Morteza Pakdaman
Sohrab Effati
Neural Processing Letters, 2016, 43 : 667 - 686
[2] A numerical method for approximating the solution of fuzzy fractional optimal control problems in caputo sense using legendre functions
Mirvakili, M.
Allahviranloo, T.
Soltanian, F.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (03) : 3827 - 3858
[3] Approximating networks for the solution of T-stage stochastic optimal control problems
Baglietto, M
Cervellera, C
Parisini, T
Sanguineti, M
Zoppoli, R
ADAPTATION AND LEARNING IN CONTROL AND SIGNAL PROCESSING 2001, 2002, : 107 - 114
[4] On the solution of fuzzy fractional optimal control problems with the Caputo derivative
Alinezhad, M.
Allahviranloo, T.
INFORMATION SCIENCES, 2017, 421 : 218 - 236
[5] Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems
Azizi, Masoomeh
Amirfakhrian, Majid
Araghi, Mohammad Ali Fariborzi
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (02): : 351 - 371
[6] Approximating the Solution of Stochastic Optimal Control Problems and the Merton's Portfolio Selection Model
Kafash, Behzad
COMPUTATIONAL ECONOMICS, 2019, 54 (02) : 763 - 782
[7] Approximating the Solution of Stochastic Optimal Control Problems and the Merton’s Portfolio Selection Model
Behzad Kafash
Computational Economics, 2019, 54 : 763 - 782
[8] An approximating method for the numerical solution of control problems
Matov, VI
Osipov, LA
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2004, 43 (03) : 360 - 362
[9] Generalized solution of optimal control problems for hyperbolic systems
V. A. Terletskii
Russian Mathematics, 2007, 51 (4) : 65 - 75
[10] Numerical Solution of Optimal Control Problems for Parabolic Systems
Fakultät für Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany
Lect. Notes Comput. Sci. Eng., 2006, (151-169):

← 1 2 3 4 5 →