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一组多输入非线性系统的同时镇定

钟江华 程代展

中国科学院研究生院学报2006,Vol.23Issue(4):447-456,10.
中国科学院研究生院学报2006,Vol.23Issue(4):447-456,10.

一组多输入非线性系统的同时镇定

Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems

钟江华 1程代展1

作者信息

  • 1. 中国科学院系统科学研究所,北京,100080
  • 折叠

摘要

Abstract

This paper considers the problem of designing a controller that simultaneously stabilizes a collection of multi-input nonlinear systems. Based on the technique of control Lyapunov function, a sufficient condition for the existence of time-invariant simultaneously stabilizing state feedback controller is obtained. A universal formula for constructing a continuous controller which simultaneously stabilizes the systems is derived. The result extends the existing one in Ref. [1] for the single-input case.

关键词

同时镇定/仿射非线性系统/控制李雅普诺夫函数/状态反馈

Key words

simultaneous stabilization/affine nonlinear system/control Lyapunov function/state feedback

分类

数理科学

引用本文复制引用

钟江华,程代展..一组多输入非线性系统的同时镇定[J].中国科学院研究生院学报,2006,23(4):447-456,10.

基金项目

supported partly by NSFC(60221301,60334040) (60221301,60334040)

中国科学院研究生院学报

OACSCDCSTPCD

2095-6134

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