【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.更多还原

【Abstract】 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.更多还原