一类非线性系统有限时间函数观测器设计方法  

An approach to design the finite time functional observer for a class of nonlinear systems

作　　者：丁玉琴[1] 刘允刚[1] 

机构地区：[1]山东大学控制科学与工程学院,山东济南250061

出　　处：《山东大学学报（工学版）》2007年第1期56-60,共5页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金(60304002;60674036);山东省科技发展计划(2004GG4204014)资助课题

摘　　要：研究了一类非线性系统的有限时间函数观测器设计问题,发展了现有文献中的相关结果:(1)得到了非线性系统的渐近收敛函数观测器设计方法;(2)在所设计的非线性系统渐近收敛函数观测器的基础上,并结合有限时间观测器理论,给出了将要研究的非线性系统的有限时间函数观测器的设计新方法.所设计的有限时间函数观测器在任意给定的时间段内实现了对将要研究的非线性系统状态函数的精确重构.仿真例子验证了理论结果的正确性.The problem of the finite time functional observer design is investigated for a class of nonlinear systems, and the related results in literature are developed. First, an approach to design the asymptotic convergent functional observer is proposed for the nonlinear system. Second, based on the asymptotic convergent functional observer design, and combined with the theory of finite time observer, a new approach to design the finite time functional observer for the nonlinear systems is presented. It has been shown that, within any given time interval, the designed finite time functional observer realizes the accurate reconstruction of the function of the nonlinear system states. A simulation example is given to illustrate the correctness of the theoretical re- suhs.

关 键 词：非线性系统 有限时间 函数观测器 渐近收敛 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]