一类Lipschitz奇异摄动系统的观测器设计  

Observer Design for a Class of Lipschitz Singularly Perturbed Systems

作　　者：任洁[1] 陆国平[1] 

机构地区：[1]南通大学电气工程学院,江苏南通226019

出　　处：《南通大学学报（自然科学版）》2009年第3期1-5,共5页Journal of Nantong University(Natural Science Edition)　

基　　金：国家自然科学基金资助项目(60874021);江苏省自然科学基金资助项目(BK2007061);江苏省六大人才高峰资助项目(06-E-029)

摘　　要：考虑了一类Lipschitz奇异摄动系统的观测器设计问题,系统中的非线性函数满足Lipschitz条件.基于Lyapunov稳定性理论,给出了带有奇异摄动参数的Luenberger状态观测器的设计方法,证明了系统状态与观测器状态的误差指数稳定,并用线性矩阵不等式表示了观测器存在的条件.仿真例子说明了设计方法的有效性.This paper considers the observer design for a class of Lipschitz nonlinear singularly perturbed systems in which the nonlinear functions satisfy the Lipschitz condition. Based on Lyapunov stability theory, we design a Luenberger state observer with the singular perturbation parameter and prove the exponential stability of the error between the system state and observer state. The existence condition of the observer is given in terms of linear matrix inequality. An illustrative numerical example is presented to show the effectiveness of the proposed approach.

关 键 词：奇异摄动系统 观测器设计 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]