Parametric optimization in a two criteria optimal control problem

Abstract

Several multicriteria optimization methods are compared using a practical optimal control problem from biotechnology as a test problem. Two criteria are taken into account: yield of biomass and natural process duration. Theoretical analysis of the problem is difficult because of non-linearity of the process’ model. The problem is reduced to a parametric optimization problem by means of parameterization of control functions. Several evolutionary multicriteria optimization algorithms and a scalarization based direct search algorithms are considered. The methods are compared with respect to the precission and the solution time