Title : ( Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials )
Authors: Mahmood Dadkhah , Mohammad Hadi Farahi , Aghileh Heydari ,
Full TextAbstract
Optimal control problems for a class of time delay systems with quadratic performance index are studied. By approximating various time functions in the systems as their truncated hybrid functions, we attain to algebraic equations. The properties of these hybrid functions including block-pulse functions and Bernstein polynomials are explained. Operational matrices of the hybrid functions are used to transform the solution of optimal control problem to the solution of algebraic equations. To demonstrate the validity and applicability of the method, some examples are presented.
Keywords
Bernstein polynomials; time delay system; operational matrix; hybrid functions; optimal control.
@article{paperid:1059530,
author = {Mahmood Dadkhah and Farahi, Mohammad Hadi and Aghileh Heydari},
title = {Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials},
journal = {IMA Journal of Mathematical Control and Information},
year = {2016},
volume = {1},
number = {2017},
month = {November},
issn = {0265-0754},
pages = {1--27},
numpages = {26},
keywords = {Bernstein polynomials; time delay system; operational matrix; hybrid functions; optimal
control.},
}
%0 Journal Article
%T Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials
%A Mahmood Dadkhah
%A Farahi, Mohammad Hadi
%A Aghileh Heydari
%J IMA Journal of Mathematical Control and Information
%@ 0265-0754
%D 2016
