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一类伴有部分解耦干扰的非线性系统故障诊断

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针对Lipschitz非线性系统执行器故障检测和传感器故障估计问题,本文提出了一种基于H_/L∞未知输入观测器的有限频域故障诊断策略。首先,将系统处理成包含传感器故障的增广系统。然后,将该系统的未知输入干扰分为可解耦与不可解耦两部分。针对可解耦部分,利用观测器匹配条件将其从估计误差中消除。针对不可解耦部分,设计L∞指标抑制其对残差的影响并结合有限频域H_指标提高执行器故障检测灵敏度。接着,给出观测器存在的充分条件并将其转化为受LMIs约束的线性优化问题,实现了执行器故障的鲁棒检测及传感器故障的鲁棒估计。最后,结合仿真算例验证了所提方法的正确性与有效性。
Fault diagnosis design for nonlinear systems corrupted by partially decoupled disturbances
A finite-frequency domain fault diagnosis scheme based on the H_/L∞ unknown input observer(UIO)is proposed for Lipschitz nonlinear system actuator fault detection and sensor fault estimation.First,an augmented system is developed by constructing an augmented state composed of system states and sensor faults.Then,the unknown input disturbances are divided into decoupled disturbances and the disturbances that cannot be decoupled.For the decoupled disturbances,the observer matching condition is used to eliminate them from the estimation error.The L∞ index is designed to attenuate the influence of disturbances that cannot be decoupled and the finite-frequency domain H_index is used to improve the actuator fault detection sensitivity.Moreover,sufficient conditions for the proposed observer are derived and converted into a linear optimization problem constrained by linear matrix inequalities(LMIs).Robust detection of actuator faults and robust estimation of sensor faults are achieved.Finally,the correctness and effectiveness of the developed observer are validated through simulation examples.

fault detectionfault estimationH_indexL∞ indexfinite-frequency domainLipschitz nonlinear sys-tems

马广富、高升、郭延宁

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哈尔滨工业大学航天学院,黑龙江哈尔滨 150001

中国科学院沈阳自动化研究所机器人学国家重点实验室,辽宁沈阳 110016

中国科学院机器人与智能制造创新研究院,辽宁沈阳 110169

故障检测 故障估计 H_指标 L∞指标 有限频域 Lipschitz非线性系统

中国科学院战略性先导科技专项子课题(A类)国家自然科学基金国家自然科学基金

XDA140303036197310061876050

2024

控制理论与应用
华南理工大学 中国科学院数学与系统科学研究院

控制理论与应用

CSTPCD北大核心
影响因子:1.076
ISSN:1000-8152
年,卷(期):2024.41(2)
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