Solving a Class of Nonlinear Optimal Control Problems Using Haar Wavelets and Hybrid GA

In this paper, we solve a class of nonlinear optimal control problems using a hybrid genetic algorithm (HGA) and a direct method based on the Haar wavelets where the performance index is Bolza-form and the dynamic system is linear‎. ‎First‎, ‎we change the problem by using HWs to a static optimization problem ‎in‎ ‎which the decision variables are the unknown coefficients of the state and control variables in the Haar series‎. ‎Next‎, ‎we apply HGA with a local search for higher power of GA in investigating the search space for solving optimization problems‎. ‎Finally‎, ‎we give some examples to illustrate the high accuracy of the proposed method.

کلیدواژه ها:

Optimal control problem‎ ، ‎Haar wavelet‎ ، ‎Hybrid genetic algorithm