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

نویسندگان

1 damghan university

2 Damghan University

3 University of Valladolid

doi
چکیده

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.