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Biquarterly Control and Optimization in applied Mathematics
Articles in Press
Current Issue
Journal Archive
Volume Volume 1 (2016)
Issue Issue 2
Issue Issue 1

Approximate Pareto Optimal Solutions of Multi objective Optimal Control Problems by Evolutionary Algorithms

Article 1, Volume 1, Issue 1, Spring and Summer 2016, Page 1-19  XML PDF (940 K)
Document Type: بنیادی - نظری
Authors
Akbar Hashemi Borzabadi 1 ; Manije Hasanabadi2 ; Navid Sadjadi3
1damghan university
2Damghan University
3University of Valladolid
Abstract
In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi-objective optimal control problems (MOOCP)'s is introduced‎. ‎In this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using a numerical method‎. ‎To do that‎, ‎a modified version of two famous evolutionary genetic algorithm (GA) and particle swarm optimization (PSO) to obtain Pareto optimal solutions of the problem is employed‎. ‎Numerical examples are presented to show the efficiency of the given approach.
Keywords
Multi-objective optimal control problem‎; ‎Pareto solution‎; ‎Evolutionary algorithm‎; ‎Discretization‎; ‎Approximation
Main Subjects
Control Theory in Medicine; Non-Linear Control; Optimal Control
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