Bezier control points method to solve constrained quadratic optimal control of time varying linear systems

被引：19

作者：

Ghomanjani, F. ^{[1
]}

Farahi, M. H. ^{[1
]}

Gachpazan, M. ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2012年 / 31卷 / 03期

关键词：

Bezier control points; constrained optimal control; linear time varying dynamical systems; LEAST-SQUARES METHODS;

D O I：

10.1590/S1807-03022012000300001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A computational method based on Bezier control points is presented to solve optimal control problems governed by time varying linear dynamical systems subject to terminal state equality constraints and state inequality constraints. The method approximates each of the system state variables and each of the control variables by a Bezier curve of unknown control points. The new approximated problems converted to a quadratic programming problem which can be solved more easily than the original problem. Some examples are given to verify the efficiency and reliability of the proposed method.

引用

页码：433 / 456

页数：24

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