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Fault detection for uncertain nonlinear networked systems with Markov data transmission pattern

机译:具有Markov数据传输模式的不确定非线性网络系统的故障检测。

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This paper is concerned with robust fault detection problem of nonlinear uncertain networked control systems (NCSs). Two irrelevant Markov chains are introduced to describe Markov data transmission pattern in both from sensors to controller (S/C) part and from controller to actuators (C/A) part, then a Markovian jump system model is established. By employing mode-dependent fault detection filter as residual generator, fault detection of nonlinear NCSs is formulated as nonlinear H∞ filtering problem. Furthermore, Lyapunov function approach is used to derive the sufficient condition which satisfies the stochastic stability and prescribed H∞ attenuation level simultaneously. Especially, the desired mode-dependent fault detection filters are constructed in terms of certain linear matrix inequalities (LMIs), and explicit parameters are characterized if these LMIs are feasible. The effectiveness of the proposed method is demonstrated by simulation example.
机译:本文涉及非线性不确定网络控制系统(NCS)的鲁棒故障检测问题。引入两个不相关的马尔可夫链来描述从传感器到控制器(S / C)部分以及从控制器到执行器(C / A)部分的马尔可夫数据传输模式,然后建立马尔可夫跳跃系统模型。通过采用模式相关的故障检测滤波器作为残差发生器,将非线性NCS的故障检测公式化为非线性H∞滤波问题。此外,使用李雅普诺夫函数法来导出同时满足随机稳定性和规定的H∞衰减水平的充分条件。尤其是,根据某些线性矩阵不等式(LMI)构造所需的依赖于模式的故障检测滤波器,并且如果这些LMI可行,则表征明确的参数。仿真实例证明了该方法的有效性。

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