Fault detection for sector-bounded non-linear systems with servo inputs and sensor stuck faults  

作　　者：Ying Gu Xiao-Jian Li 

机构地区：[1]School of Science,Dalian Jiaotong University,Dalian,China [2]College of Information Science and Engineering,Northeastern University,Shenyang,China [3]State Key Laboratory of Synthetical Automation of Process Industries,Northeastern University,Shenyang,China

出　　处：《Journal of Control and Decision》2019年第3期147-165,共19页控制与决策学报（英文）

基　　金：This work was supported in part by the Funds of the National Natural Science Foundation of China[grant number 61621004],[grant number 61420106016];the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries[grant number 2013ZCX01].

摘　　要：This paper addresses the fault detection(FD)problem for discretetime sector-bounded non-linear systems with finite-frequency servo inputs.The non-linear systems are firstly modelled as multi-models.The main contributions are that a novel FD filter which combines the finite-frequency H∞and H−indices is designed.Different from the existing methods,the proposed FD scheme guarantees that the generated residuals are robust against the servo inputs in fault-free case and sensitive to them in faulty cases.Thus,the small sensor stuck faults including outagefaults can be detected.For this class of systems,the existing finite-frequency FD filter design methods are invalid.A new lemma is developed to characterise the system performances in finite-frequency domain.In addition,sufficient conditions for the existence of such a FD filter are derived by introducing slack variable and linear matrix inequalities techniques.Finally,an example is presented to demonstrate the method and its effectiveness.

关 键 词：Fault detection servo inputs sensor stuck faults sector-bounded nonlinearity finite-frequency domain 

分 类 号：O17[理学—数学]