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同时镇定一族带有不确定参数的多输入非线性系统

蔡秀珊韩正之章伟

自动化学报2009，Vol.35Issue(2)：206-209,4.

自动化学报2009，Vol.35Issue(2)：206-209,4.DOI:10.3724/SP.J.1004.2009.00206

同时镇定一族带有不确定参数的多输入非线性系统

Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems with Uncertain Parameters

蔡秀珊 ¹韩正之 ²章伟²

作者信息

1. College of Mathematics, Physics and Information Engineering,Zhejiang Normal University, Jinhua 321004, P. R. China
2. School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240,P.R.China
折叠

摘要

Abstract

Simultaneous stabilization for a collection of multi-input nonlinear systems with uncertain parameters is dealt with in this paper. A systematic method for obtaining a control Lyapunov function (CLF) is presented by solving the Lyapunov equation. A sufficient condition that a quadratic CLF is a com-mon CLF for these systems is acquired. A continuous state feedback is designed to simultaneously stabilize these systems. Finally, the effectiveness of the proposed scheme is illustrated by a simulation example.

关键词

Nonlinear systems/simultaneous stabilization/control Lyapunov functions (CLF)/state feedback

Key words

Nonlinear systems/simultaneous stabilization/control Lyapunov functions (CLF)/state feedback

分类

信息技术与安全科学

引用本文复制引用

蔡秀珊,韩正之,章伟..同时镇定一族带有不确定参数的多输入非线性系统[J].自动化学报,2009,35(2):206-209,4.

基金项目

Supported by National Natural Science Foundation of China (60774011, 60674024), Natural Science Foundation of Zhejiang Province (Y105141), and Natural Science Foundation of Fujian Province (2008J0026) （60774011, 60674024）

自动化学报

OA北大核心CSCDCSTPCD

ISSN：0254-4156

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