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

作     者：CAI Xiu-Shan HAN Zheng-Zhi ZHANG Wei 

作者机构：College of Mathematics Physics and Information Engineering Zhejiang Normal University Jinhua 321004 P. R. China School of Electronic Information and Electrical Engineering Shanghai Jiao Tong University Shanghai 200240 P. R. China 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2009年第35卷第2期

页      面：206-209页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：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) 

主　　题：不确定非线性系统 仿真系统 自动化技术 分析方法 

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.