Solving a Class of Nonlinear Optimal Control Problems Using Haar Wavelets and Hybrid GA
نویسندگان
1 Faculty of Mathematical Sciences, Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
2 Department of Mathematics, Payame Noor University (PNU), P.O. BOX 19395-4697, Tehran, Iran.
3 Mosaheb Institute of Mathematics, Kharazmi University, Tehran, Iran.
doi
10.30473/coam.2023.65549.1214چکیده
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.
