Finite-time disturbance attenuation of nonlinear systems

作     者：MO LiPo JIA YingMin ZHENG ZhiMing 

作者机构：Key Laboratory of Mathematics Informatics and Behavioral Semantics Ministry of Education Beihang University Beijing 100191 China The Seventh Research Division Beihang University Beijing 100191 China 

出 版 物：《Science in China(Series F)》 (中国科学（F辑英文版）)

年 卷 期：2009年第52卷第11期

页      面：2163-2171页

核心收录：

学科分类：0711[理学-系统科学] 080701[工学-工程热物理] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：Supported by the National Basic Research Program of China (Grant No. 2005CB321902) the National Natural Science Foundation of China(Grant No. 60374001) the Doctoral Fund of Ministry of Education of China (Grant No. 20030006003) 

主　　题：finite-time disturbance attenuation nonlinear systems H∞ performance finite-time stability 

摘      要：This paper is devoted to the finite-time disturbance attenuation problem of affine nonlinear systems. Based on the finite time Lyapunov stability theory, some finite-time H∞ performance criterions are derived. Then the state-feedback control law is designed and the structure of such a controller is investigated. Furthermore, it is shown that the H∞ controller can also make the closed-loop system satisfy finite-time H∞ performance for nonlinear homogeneous systems. An example is provided to demonstrate the effectiveness of the presented results.