一类单边Lipschitz系统的脉冲观测器设计  

Impulsive observer design for a class of one-sided Lipschitz system

作　　者：黄敢基[1] 罗世贤[1] 韦琳娜[1] 陈武华[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2015年第6期1588-1596,共9页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金项目(61573111;61164016);广西自然科学基金重点项目(2013GXNSFDA019003);广西大学自然科学基金项目(XJZ110626);广西研究生教育创新计划资助项目(YCSZ2015031)

摘　　要：为了研究一类单边Lipschitz非线性系统的脉冲观测器设计方法,构造了与脉冲发生时间序列相关的时变Laypunov函数分析相应观测误差系统的稳定性,结合线性矩阵不等式技术和单边Lipschitz条件,得到了的观测器指数收敛的充分条件和观测器增益矩阵的求解方法。研究结果表明:时变Laypunov函数能有效处理脉冲发生对误差系统稳定性的影响,而基于单边Lipschitz条件设计的观测器比基于传统的Lipschitz条件设计的观测器具有更广的应用范围。To investigate the observer design method for a class of one-sided Lipschitz nonlinear system,an impulsive instant-related time varying Lyapunov function is constructed to analyze the stability of the error system,combining linear matrix inequalities technology and one-sided Lipschitz condition,sufficient condition for the exponentially converge of the observer and the solution of the observer gain matrix are then obtained. The results show that the effect of impulsive on stability of error system can be dealt with effectively by using the time varying Lyapunov function,and the one-sided Lipschitz condition based observer possesses wider application scope compared to the traditional Lipschitz condition based observer.

关 键 词：单边Lipschitz系统 时变Lyapunov函数 脉冲观测器 指数稳定性 

分 类 号：O231[理学—运筹学与控制论]