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IET Cyber-Systems and Robotics  2020, Vol. 2 Issue (4): 168-180    DOI: https://doi.org/10.1049/iet-csr.2020.0024
    
基于观测器规范型的双曲时空动态系统鲁棒故障检测与估计
Xiaodong Xu; Yuncheng Du; Stevan Dubljevic
Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta, T6G 2V4 Canada
Observer canonical form based robust fault detection and estimation for hyperbolic spatiotemporal dynamic systems
Xiaodong Xu; Yuncheng Du; Stevan Dubljevic
Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta, T6G 2V4 Canada
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摘要: 在本研究中,作者针对一类存在未知外部干扰的双曲时空动态系统,提出了一种新型的状态和故障估计方法。他们考虑了发生乘法执行器和传感器故障的情况。具体来说,他们考虑了两种故障发生的情况:(1)只发生一种类型的故障(执行器或传感器);(2)两种类型的故障同时发生。本研究通过提出一个故障观测器来讨论故障可检测性条件。该估计问题中存在三个困难:(i)缺少表明故障类型的先验知识;(ii)由于设备信号(状态或者输入)与未知故障参数之间的乘法特性,观测器需要是非线性的;(iii)只存在一种可用的边界测量方法。他们将原始故障设备转换为观测器规范型。通过两种基于所得观测器规范型的滤波器,他们提出了用于故障参数估计的新型参数更新方法。基于上述更新方法,可以通过本文所提出的观测器估计出故障设备的真实状态。通过选取合适的李雅普诺夫函数,他们证明了尽管存在未知的外部干扰,状态参数和故障参数的估计误差仍会指数衰减到任意小的零邻域。
Abstract: In this study, the authors propose a novel state and a fault estimation scheme for a class of hyperbolic spatiotemporal dynamic systems in the presence of unknown external disturbance. They consider the occurrence of multiplicative actuator and sensor faults. In detail, they consider two cases of fault occurrence: (i) only one type (actuator or sensor) of fault happens; (ii) two types of faults occur simultaneously. This study discusses the fault detectability conditions by proposing a fault detection observer. To complete the estimation problem, three difficulties arise: (i) no prior information shows the type of faults; (ii) the observer design is non-linear due to multiplication between plant signals (state or input) and unknown fault parameters; (iii) only one boundary measurement is available. They convert the original faulty plant into its observer canonical form. By proposing two filters based on the resulting observer canonical form, they develop novel parameter update laws for fault parameter estimation. With the proposed update laws, the true state of the faulty plant can be estimated by the proposed observers. By selecting appropriate Lyapunov functions, they prove that estimation error of state and fault parameters exponentially decays to an arbitrarily small neighbourhood of zero despite unknown external disturbance.
出版日期: 2021-04-14
通讯作者: Stevan Dubljevic     E-mail: Stevan.Dubljevic@ualberta.ca
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Xiaodong Xu, Yuncheng Du, Stevan Dubljevic. Observer canonical form based robust fault detection and estimation for hyperbolic spatiotemporal dynamic systems . IET Cyber-Systems and Robotics, 2020, 2(4): 168-180.

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http://www.zjujournals.com/iet-csr/CN/ https://doi.org/10.1049/iet-csr.2020.0024        http://www.zjujournals.com/iet-csr/CN/Y2020/V2/I4/168

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