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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
引用本文: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.
作者姓名:蔡秀珊  韩正之  章伟
作者单位:1.College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, P.R.China
基金项目:国家自然科学基金,浙江省自然科学基金,福建省自然科学基金 
摘    要: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 common 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
收稿时间:2007-11-30
修稿时间:2008-9-3

Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems with Uncertain Parameter
CAI Xiu-Shan,HAN Zheng-Zhi,ZHANG Wei.Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems with Uncertain Parameter[J].Acta Automatica Sinica,2009,35(2):206-209.
Authors:CAI Xiu-Shan  HAN Zheng-Zhi  ZHANG Wei
Affiliation: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
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.
Keywords:Nonlinear systems  simultaneous stabilization  control Lyapunov functions (CLF)  state feedback
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