Title : ( Optimal control of time-varying linear delay systems based on the Bezier curves )
Authors: fateme ghomanjani , Mohammad Hadi Farahi , Mortaza Gachpazan ,
Full TextAbstract
Abstract In this paper, time-delay control systems with quadratic performance are solved by applying the least square method on the Bezier control points. The approximation process is done in two steps. First, the time interval is divided into 2k subintervals, then in each subinterval the trajectory and control functions are approximated by the Bezier curves. We havechosentheBeziercurvesaspiecewisepolynomialsofdegreen anddeterminedtheBezier curves on any subinterval by n+1 control points. By considering a least square optimization problem, the control points can be found, then the Bezier curves that approximate the action of control and trajectory can be computed as well. Some numerical examples are given to verify the efficiency of the proposed method.
Keywords
, Keywords Optimal control problem · Dynamic systems · The Bezier control points · Optimal control of time, delay systems·Time, delay systems·The Bezier curve method
@article{paperid:1040749,
author = {Ghomanjani, Fateme and Farahi, Mohammad Hadi and Gachpazan, Mortaza},
title = {Optimal control of time-varying linear delay systems based on the Bezier curves},
journal = {Computational and Applied Mathematics},
year = {2014},
volume = {33},
number = {3},
month = {October},
issn = {0101-8205},
pages = {687--715},
numpages = {28},
keywords = {Keywords Optimal control problem · Dynamic systems · The Bezier control points · Optimal control of time-delay systems·Time-delay systems·The Bezier curve method},
}
%0 Journal Article
%T Optimal control of time-varying linear delay systems based on the Bezier curves
%A Ghomanjani, Fateme
%A Farahi, Mohammad Hadi
%A Gachpazan, Mortaza
%J Computational and Applied Mathematics
%@ 0101-8205
%D 2014
