QA100 : Numerical soloution of a fuzzy time-optimal control problem
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2012
Authors:
Maryam Mombeini [Author], Alireza Nazemi[Supervisor], Hadi Basirzadeh [Supervisor]
Abstarct: In this paper, we consider a time-optimal control problem with uncertainties. Dynamics of controlled object is expressed by crips linear system of differential equations with fuzzy initial and final states. We introduce a notion of fuzzy optimal time and reduce its calculation to two crips optimal control problems. We examine the proposed approach on an example. In the first fuzzy sets are reviwed and studied. In the second chapter we study ageneral recitation of problems calculus variation and optimal control. In the third chapter we introduce two crips time optimal control problems and also interpret their solving ways. Finally we introduce the fuzzy time optimal control problem and reduce its two kinds of two crips time optimal control problem solved the problem.
Keywords:
#Optimal-time control #Fuzzy set #Maximum principle #Mathematical pendulum Link
Keeping place: Central Library of Shahrood University
Visitor: