Construction of Control Lyapunov Functions for a Class of Nonlinear Systems

作     者：CAI Xiu-Shan HAN Zheng-Zhi WANG Xiao-Dong CAI Xiu-Shan;HAN Zheng-Zhi;WANG Xiao-Dong

作者机构：College of Information Science and Engineering Zhejiang Normal University Jinhua 321004 Department of Automation Shanghai Jiaotong University Shanghai 200030 

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

年 卷 期：2006年第32卷第5期

页      面：796-799页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：Supported by Natural Science Foundation of Zhejiang Province P. R. China (Y105141)Natural Science Foundation of Fujian Province P.R.China (A0510025)Technological Project of Zhejiang Education Department P. R. China(20050291) 

主　　题：Nonlinear systems control Lyapunov functions semiglobal stabilization zero dynamics. 

摘      要：The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established.