Chebyshev wavelets Solution for Optimal Control
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2016, Vol 10, Issue 7
Abstract
In this paper, a numerical method is introduced for solving the optimal control problems. The method is a state parameterization technique which can consider the state parameters as a linear combination of Chebyshev polynomials with unknown coefficients. In the proposed method, the main object is to reduce the system dimensions to achieve a robust and easy solution. This method approximates the control and state variables as a function of time. In addition, by combining the Wavelet and Chebyshev polynomials, the method is transformed into a more successful technique to find the optimal control solution by comparing with the other existing mentioned algorithms.
Authors and Affiliations
Mohsen Shahrezaee| Department of Mathematics, Faculty of Science, University of Imam Hussein (AS), Tehran, Iran, email: mshahrezaee@iust.ac.ir
Keywords
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