一类非线性系统的间歇观测器设计  

Intermittent observer design for a class of nonlinear systems

作　　者：黄敢基[1] 陈武华[1] 韦琳娜[1] 张更容[2] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]湖南第一师范学院数学与计算科学学院,湖南长沙410205

出　　处：《广西大学学报（自然科学版）》2017年第2期748-755,共8页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(61573111;61561006;11461002);广西自然科学基金资助项目(2015GXNSFAA139003)

摘　　要：传统的观测器设计方法大多是基于系统输出为全局测量或部分离散点测量的情形,文中针对一类非线性系统研究了基于间歇分段连续测量输出的观测器设计方法。为了分析相应误差系统的稳定性和降低结果的保守性,引入了与观测时间序列相关的切换Lyapunov函数,并结合线性矩阵不等式技术和凸组合技术,得到了保证误差系统指数稳定的充分条件和间歇观测器的设计方法,观测器的增益矩阵可通过求解一组线性矩阵不等式得到。最后通过一个数值仿真例子验证了所提出方法的可行性和实用性。Most of the traditional observer design theory are based on the output can be measured continuously or discretely. In this paper,an intermittent observer design method for a class of nonlinear systems with sectional measurement output is addressed. In order to reduce conservatism,an observed time-related Lyapunov function is introduced to analyze the stability of the error systems. Sufficient conditions for the exponential stability of the error systems and the design approach of intermittent observer are derived by combining linear matrix inequality technique and convex combination technique,and the observer gain matrix can be obtained by solving a set of linear matrix inequalities. Finally,a numerical simulation example is given to verify the feasibility and practicability of the proposed method.

关 键 词：非线性系统 间歇观测器 切换Lyapunov函数 指数稳定 

分 类 号：O231[理学—运筹学与控制论]