A Numerical Algorithm for Solving Optimal Control Problems with Terminal Constraints for Dynamical Systems

Abstract—An algorithm for solving an optimal control problem with terminal constraints is developed. The optimal control problem with terminal constraints and constraints on the control parameter is formulated. To solve the problem, a numerical algorithm based on the penalty method and genetic algorithms is described. A computational experiment is performed for the synthesis reaction of phthalic anhydride in order to get the maximum yield of the reaction product under terminal constraints. The optimal temperature regime and optimal concentrations of reagents are obtained.