Computational and Applied Mathematics, ( ISI ), Volume (30), No (2), Year (2011-8) , Pages (367-379)

Title : ( Solving of time varying quadratic optimal control problems by using Bézier control points )

Authors: Mortaza Gachpazan ,

Citation: BibTeX | EndNote

Abstract

In this paper, linear quadratic optimal control problems are solved by applying least square method based on Bézier control points. We divide the interval which includes t, into k subintervals and approximate the trajectory and control functions by Bézier curves. We have chosen the Bézier curves as piacewise polynomials of degree three, and determined Bézier curves on any subinterval by four control points. By using least square method, we introduce an optimization problem and compute the control points by solving this optimization problem. Numerical experiments are presented to illustrate the proposed method.

Keywords

, Bézier Control Points, Quadratic optimal Control Problem, Least Square.
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@article{paperid:1022951,
author = {Gachpazan, Mortaza},
title = {Solving of time varying quadratic optimal control problems by using Bézier control points},
journal = {Computational and Applied Mathematics},
year = {2011},
volume = {30},
number = {2},
month = {August},
issn = {0101-8205},
pages = {367--379},
numpages = {12},
keywords = {Bézier Control Points; Quadratic optimal Control Problem; Least Square.},
}

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%0 Journal Article
%T Solving of time varying quadratic optimal control problems by using Bézier control points
%A Gachpazan, Mortaza
%J Computational and Applied Mathematics
%@ 0101-8205
%D 2011

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