Title : ( Fuzzy Optimal Control under Generalized Differentiability of Fuzzy-number-valued Functions )
Authors: mehran mazandarani , Ali Vahidian Kamyad , Naser Pariz ,Abstract
In this paper optimal control problem of fuzzy linear time invariant systems is considered. Determining of system optimal input with minimizing quadratic integral criterion by using Pontryagin Minimum Principle will make the Fuzzy Partial Differential Equations [FPDEs] system solve the problem. The quality of obtaining system optimal input by solving the FPDEs system has been studied based on new definition of fuzzy functions differentiability. Finally, some examples illustrate the proposed method.
Keywords
, Optimal Control, Fuzzy Differential Equations, Generalized Differentiability, Pontryagin Minimum Principle@inproceedings{paperid:1021363,
author = {Mazandarani, Mehran and Vahidian Kamyad, Ali and Pariz, Naser},
title = {Fuzzy Optimal Control under Generalized Differentiability of Fuzzy-number-valued Functions},
booktitle = {4th International Conference of Iranian Operations Research Society},
year = {2011},
location = {گیلان, IRAN},
keywords = {Optimal Control; Fuzzy Differential Equations; Generalized Differentiability; Pontryagin Minimum Principle},
}
%0 Conference Proceedings
%T Fuzzy Optimal Control under Generalized Differentiability of Fuzzy-number-valued Functions
%A Mazandarani, Mehran
%A Vahidian Kamyad, Ali
%A Pariz, Naser
%J 4th International Conference of Iranian Operations Research Society
%D 2011