Authors | Sohrab Effati |
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Journal | Numerical Algebra, Control and Optimization |
Page number | 143-156 |
Serial number | 10 |
Volume number | 2 |
Paper Type | Full Paper |
Published At | 2020 |
Journal Grade | ISI |
Journal Type | Electronic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | Scopus |
Abstract
To solve the time delay optimal control problem with quadratic performance index, a direct numerical method based on Hermite wavelet has been proposed in the present study. The idea is to convert the time delay optimal control problem into a quadratic programming problem. To do so, various time functions in the system are expanded as their truncated series and the properties of the operational matrices of integration, delay and product of two Hermite wavelet vectors are used as well. These matrices are utilized to reduce the solution of optimal control with time delay system, to the solution of a quadratic programming with linear constraints. Finally, three examples of time varying and time invariant coecients are given to compare the results with some of the existing methods.
tags: Hermite wavelet, operational matrix, time delay, direct method.