Title : ( An iterative method to solve the time delay optimal control problem with bounded control variable )
Authors: Amin Mansoori , Sohrab Effati , Mohammad Eshaghnezhad ,
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Abstract
This paper presents an iterative approach for solving the optimal control problem (OCP) with time-delayed terms and bounded control variables. The projection function is used to construct the iterative method to approximate the control law. Employing the approximation of control law the approximation of state and the co-state variables are obtained. To the best of our knowledge, this paper is the first attempt to solve bounded and delayed OCPs with a projection function. The convergence theorem for the proposed method is also proven. Several numerical examples are added, showing the developed method\\\\\\\'s effectiveness to solve the time-delayed OCPs with bounded control variables.
Keywords
, Optimal control problem, time-delayed system, bounded control variable, projection function, convergence analysis
@article{paperid:1099977,
author = {Mansoori, Amin and Effati, Sohrab and محمد اسحاق نژاد},
title = {An iterative method to solve the time delay optimal control problem with bounded control variable},
journal = {International Journal of Computer Mathematics},
year = {2024},
volume = {101},
number = {6},
month = {June},
issn = {0020-7160},
pages = {653--667},
numpages = {14},
keywords = {Optimal control problem; time-delayed system; bounded control variable; projection function; convergence analysis},
}
%0 Journal Article
%T An iterative method to solve the time delay optimal control problem with bounded control variable
%A Mansoori, Amin
%A Effati, Sohrab
%A محمد اسحاق نژاد
%J International Journal of Computer Mathematics
%@ 0020-7160
%D 2024
