Fault Detection for Linear Discrete Time-Varying Systems Subject to Random Sensor Delay: A Riccati Equation Approach
Fault Detection for Linear Discrete Time-Varying Systems Subject to Random Sensor Delay: A Riccati Equation Approach
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DOI：
10.1109/tcsi.2017.2763625
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
Yueyang Li;H. Karimi;Qin Zhang;Dong Zhao;Yibin Li
中科院分区：
文献类型：
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作者：
Yueyang Li;H. Karimi;Qin Zhang;Dong Zhao;Yibin Li
本文主要研究具有随机传感器时滞的线性离散时变系统的故障检测问题。通过假设测量信道具有传输控制协议（TCP），经由将分组指示符嵌入到滤波器中来提供基于转发器的FD滤波器（FDF）作为残差生成器。为了构造这个FDF，它的设计问题被配制成两个子问题。一种是最大化$\mathcal {H}_{-}/\mathcal {H}_{\infty }$或$\mathcal {H}_{\infty }/\mathcal {H}_{\infty }$ FD性能指标，以提高故障灵敏度/干扰衰减比。另一个是找到滤波器参数矩阵，使得残差和故障之间的误差在$\mathcal {H}_{\infty }$意义下最小化。采用随机分析和引入一些伴随算子的优化方法，上述FDF设计问题的解析解推导通过求解递归Riccati方程。最后通过一个算例说明了所提方法的有效性。
This paper mainly studies the fault detection (FD) problem for linear discrete time-varying systems subject to random sensor delay. By assuming that the measurement channel is with Transmission Control Protocol (TCP), an observer-based FD filter (FDF) is provided as a residual generator via embedding the packet indicator into the filter. To construct this FDF, its design issue is formulated into two sub-problems. One is to maximize the $\mathcal {H}_{-}/\mathcal {H}_{\infty }$ or $\mathcal {H}_{\infty }/\mathcal {H}_{\infty }$ FD performance index, which aims to enhance the ratio of fault sensitivity/disturbance attenuation. The other one is to find the filter parameter matrices such that the error between the residual and the fault is minimized in the $\mathcal {H}_{\infty }$ sense. By employing stochastic analysis and introducing some adjoint operator based optimization approaches, analytical solutions to the aforementioned FDF design problem are derived via solving recursive Riccati equations. An illustrative example is given to show the effectiveness of the proposed methodologies.