准单边Lipschitz非线性系统的有限时间镇定  

Finite-time stabilization for quasi-one-sided Lipschitz nonlinear systems

作　　者：傅勤[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《苏州科技学院学报（自然科学版）》2014年第4期4-9,共6页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：国家自然科学基金资助项目(11371013)

摘　　要：借助于有限时间稳定性的定义,对准单边Lipschitz非线性系统引入有限时间镇定的概念。并对一类准单边Lipschitz非线性系统进行了状态反馈和动态输出反馈控制器设计,这类控制器是有别于通常意义的渐近稳定控制器的。利用线性矩阵不等式(LMI)的方法,提出一个充分条件,当反馈控制律作用于该系统时,闭环系统是有限时间稳定的。The concept of finite-time stabilization is introduced for quasi-one-sided Lipschitz nonlinear systems by the definition of finite-time stability. The design of state feedback controllers and dynamic output feedback controllers is given for a class of quasi-one-sided Lipschitz nonlinear systems. This kind of controllers is differ-ent from that of generally asymptotically stable ones. A sufficient condition is provided by using linear matrix in-equality. When the feedback control laws are applied to the systems, the closed-loop systems are finite-time sta-ble.

关 键 词：有限时间镇定 准单边Lipschitz条件 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]