一类非线性时滞系统的H_∞鲁棒故障检测滤波器设计  

On designing H_∞ robust fault detection filter for a class of nonlinear time-delay systems

作　　者：董全超[1] 钟麦英[1] 

机构地区：[1]山东大学控制科学与工程学院,济南250061

出　　处：《控制与决策》2009年第1期107-112,共6页Control and Decision

基　　金：国家自然科学基金项目(60774071);教育部博士点基金项目(20050422036);山东省博士基金项目(2005BS01007)

摘　　要：研究一类受时变时滞影响的非线性不确定系统H∞鲁棒故障检测滤波器设计问题.首先采用基于观测器的故障检测滤波器作为残差产生器,将故障检测滤波器设计归结为H∞滤波问题;然后应用Lyapunov-Krasovskii方法,推导并证明了问题可解的依赖时滞的充分条件,通过求解线性矩阵不等式得到了观测器增益矩阵的解;最后通过算例验证了所提出方法的有效性.The problem of designing H∞ robust fault detection filter is studied for a class of nonlinear systems with model uncertainties and time-varying delay. By applying an observer-based fault detection filter （FDF） as a residual generator, the problem of robust fault detection is formulated in the framework of H∞ filtering. Then the Lyapunov- Krasovskii functional approach is used to analyze the performance of the residual system and a sufficient condition for the existence of a H∞ robust FDF is derived. A solution to the H∞ robust FDF is obtained by solving a set of linear matrix inequalities. Finally, a numerical example shows the effectiveness of the proposed approach.

关 键 词：故障检测滤波器 时变时滞 观测器 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]