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一类非完整约束系统的镇定与能控性

程代展 慕小武

控制理论与应用2002,Vol.19Issue(3):467-470,4.
控制理论与应用2002,Vol.19Issue(3):467-470,4.

一类非完整约束系统的镇定与能控性

Stabilization and Controllability of a Class of Nonholonomic Systems

程代展 1慕小武2

作者信息

  • 1. 中国科学院系统科学研究所,北京,100080
  • 2. 郑州大学数学系,郑州,450052
  • 折叠

摘要

Abstract

In this note, the stabilization and controllability of a class of nonholonomic control systems are considered.First of all, it is shown that even though in general a snooth state feedback control, which stabilizes the system, does exist[1],the existence depends on the initial position of the system. It does exist except a very limited measure-zero set. Then we show that the systems are globally controllable by piecewise smooth controls. As a corollary, the systems are finite time stabilizable bypiecewise smooth control. The proofs are constructive so the controls are provided precisely.

关键词

非完整约束系统/镇定/能控性/状态反馈/有限时间控制

Key words

nonholonomic system/stabilization/controllability/state feedback/finite time control

分类

信息技术与安全科学

引用本文复制引用

程代展,慕小武..一类非完整约束系统的镇定与能控性[J].控制理论与应用,2002,19(3):467-470,4.

基金项目

supported by National 973 Project (G1998020308). (G1998020308)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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