Title : ( Optimal Control of Fuzzy Linear Controlled System with Fuzzy Initial Conditions )
Authors: Marzieh Najariyan , Mohammad Hadi Farahi ,
Full TextAbstract
Abstract. In this article we found the solution of fuzzy linear controlled sys- tem with fuzzy initial conditions by using α-cuts and presentation of numbers in a more compact form by moving to the field of complex numbers. Next, a fuzzy optimal control problem for a fuzzy system is considered to optimize the expected value of a fuzzy objective function. Based on Pontryagin Maximum Principle, a constructive equation for the problem is presented. In the last section, three examples are used to show that the method in effective to solve fuzzy and fuzzy optimal linear controlled systems.
Keywords
, Key words and phrases: Fuzzy linear controlled system, Optimal fuzzy controlled system, PMP.
@article{paperid:1040752,
author = {Najariyan, Marzieh and Farahi, Mohammad Hadi},
title = {Optimal Control of Fuzzy Linear Controlled System with Fuzzy Initial Conditions},
journal = {Iranian Journal of Fuzzy Systems},
year = {2013},
volume = {10},
number = {3},
month = {May},
issn = {1735-0654},
pages = {21--35},
numpages = {14},
keywords = {Key words and phrases: Fuzzy linear controlled system; Optimal fuzzy controlled system; PMP.},
}
%0 Journal Article
%T Optimal Control of Fuzzy Linear Controlled System with Fuzzy Initial Conditions
%A Najariyan, Marzieh
%A Farahi, Mohammad Hadi
%J Iranian Journal of Fuzzy Systems
%@ 1735-0654
%D 2013
