Solving of time varying quadratic optimal control problems by using Bézier control points
AUTOR(ES)
Gachpazan, Mortaza
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2011
RESUMO
In this paper, linear quadratic optial control probles 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 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.
Documentos Relacionados
- Bézier control points method to solve constrained quadratic optimal control of time varying linear systems
- Algoritmos de controle ótimo quadrático com restrições.
- Existence of Solutions for Optimal Control Problems on Time Scales whose States are Absolutely Continuous
- TIME OPTIMAL CONTROL SYSTEMS*
- Using three-dimensional microfluidic networks for solving computationally hard problems
