Exact linearization based multiple-subspace iterative resolution to affine nonlinear control system

被引：0
|
作者：
Xu Zi-xiang [1 ]
Zhou De-yun
Deng Zi-chen
机构：
[1] Northwestern Polytech Univ, Sch Elect & Informat, Xian 710072, Peoples R China
[2] Northwestern Polytech Univ, Dept Mech Engn, Xian 710072, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 12期
关键词：
affine nonlinear system; precise linearization; multiple-substructure; optimal control;
D O I：
10.1007/s10483-006-1209-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control, multiple-substructure method was inducted to solve the optimal control problem which was linearized. And finally the solution to the original nonlinear system was found. Compared with the classical linearizational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region.
引用
收藏
页码：1665 / 1671
页数：7
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