Title of article
Solving a Class of Nonlinear Optimal Control Problems Using Haar Wavelets and Hybrid GA
Author/Authors
Nezhadhosein ، Saeed Department of Mathematics - Payame Noor University (PNU) , Ghanbari ، Reza Department of Applied Mathematics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad , Ghorbani-Moghadam ، Khatere Mosaheb Institute of Mathematics - Kharazmi University
From page
1
To page
17
Abstract
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.
Keywords
Optimal control problem , Haar wavelet , Hybrid genetic algorithm
Journal title
Control and Optimization in Applied Mathematics
Journal title
Control and Optimization in Applied Mathematics
Record number
2769781
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