Title : ( Optimal control of a class of non-linear time-delay systems via hybrid functions )
Authors: Mahmood Dadkhah , Mohammad Hadi Farahi , Aghileh Heydari ,
Full TextAbstract
Optimal control problems for a class of time-delay non-linear systems with quadratic performance index are studied. The properties of the hybrid functions which consist of block-pulse functions and orthonormal Taylor series are presented. By expanding various time functions in the systems as their truncated hybrid functions, we attain to algebraic equations and by means of operational matrices of integration, delay and product we reduce the solution of optimal control problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Keywords
, time, delay system; orthonormalization; operational matrix; hybrid functions.
@article{paperid:1057338,
author = {Mahmood Dadkhah and Farahi, Mohammad Hadi and Aghileh Heydari},
title = {Optimal control of a class of non-linear time-delay systems via hybrid functions},
journal = {IMA Journal of Mathematical Control and Information},
year = {2017},
volume = {2015},
number = {1},
month = {January},
issn = {0265-0754},
pages = {2--16},
numpages = {14},
keywords = {time-delay system; orthonormalization; operational matrix; hybrid functions.},
}
%0 Journal Article
%T Optimal control of a class of non-linear time-delay systems via hybrid functions
%A Mahmood Dadkhah
%A Farahi, Mohammad Hadi
%A Aghileh Heydari
%J IMA Journal of Mathematical Control and Information
%@ 0265-0754
%D 2017
