Lipschitz非线性系统的H_(-)/L_(∞)故障检测观测器设计  

H_(-)/L_(∞) fault detection observer design for Lipschitz nonlinear systems

作　　者：周萌 王振华[2] 王昶[3] 沈毅[2] ZHOU Meng;WANG Zhen-hua;WANG Chang;SHEN Yi(College of Information Science ＆ Technology,Beijing University of Chemical Technology,Beijing 100029,China;School of Astronautics,Harbin Institute of Technology,Harbin Heilongjiang 150001,China;Beijing Aerospace Automation Research Institute,Beijing 100039,China)

机构地区：[1]北京化工大学信息科学与技学院,北京100029 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [3]北京航天自动控制研究所,北京100039

出　　处：《控制理论与应用》2018年第6期778-785,共8页Control Theory & Applications

基　　金：国家自然科学基金项目(91718102,51575034)资助.

摘　　要：针对Lipschitz非线性系统提出了一种基于H_-/L_∞故障检测观测器的设计方法.首先,利用有限频域的H_-指标来刻画观测器生成残差的最小故障敏感度,利用未知干扰到残差的L_∞范数来描述残差对干扰的鲁棒性能.其次,提出了基于L_∞范数性能指标的残差评价与动态阈值生成方法.此外,给出了H_-/L_∞故障检测观测器的存在条件并整理成线性矩阵不等式.最后,仿真算例验证了本文所提方法的正确性与有效性.This paper proposes an H--/L-∞ fault detection observer design method for Lipschitz nonlinear systems.First, the finite frequency H--index is used to measure the worst-case fault sensitivity and the L-∞ norm from unknown disturbance to residual is used to measure disturbance robustness performance. Next, a residual evaluation and a dynamic threshold are synthesized based on the L-∞ norm. Besides, sufficient conditions of the observer design are derived and transformed by a set of linear matrix inequalities. Finally, numerical simulations are provided to demonstrate the correctness and effectiveness of the proposed method.

关 键 词：LIPSCHITZ非线性系统 H_(-)指标 L_(∞)范数 有限频域 故障检测 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]