%0 Journal Article
%T Solving of time varying quadratic optimal control problems by using B¨¦zier control points
%A Gachpazan
%A Mortaza
%J Computational & Applied Mathematics
%D 2011
%I Scientific Electronic Library Online
%R 10.1590/S1807-03022011000200007
%X in this paper, linear quadratic optial control probles are solved by applying least square method based on b¨¦zier control points. we divide the interval which includes t, into k subintervals and approximate the trajectory and control functions by b¨¦zier curves. we have chosen the b¨¦zier curves as piacewise polynomials of degree three, and determined b¨¦zier curves on any subinterval by four control points. by using least square ethod, e introduce an optimization problem and compute the control points by solving this optimization problem. numerical experiments are presented to illustrate the proposed method.
%K b¨¦zier control points
%K quadratic optimal control problem
%K least square.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022011000200007&lng=en&nrm=iso&tlng=en