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Observer-Based Robust Fault Detection Filter Design and Optimization for Networked Control Systems

机译：基于观察者的鲁棒故障检测滤波器的网络控制系统设计与优化

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摘要

The problem of robust fault detection filter (FDF) design and optimization is investigated for a class of networked control systems (NCSs) with random delays. The NCSs are modeled as Markovian jump systems (MJSs) by assuming that the random delays obey a Markov chain. Based on the model, an observer-based residual generator is constructed and the corresponding fault detection problem is formulated as an.. 8 filtering problem by which the error between the residual signal and the fault is made as small as possible. A sufficient condition for the existence of the desired FDF is derived in terms of linear matrix inequalities (LMIs). Furthermore, to improve the performance of the robust fault detection systems, a time domain optimization approach is proposed. The solution of the optimization problem is given in the form of Moore-Penrose inverse of matrix. A numerical example is provided to illustrate the effectiveness and potential of the proposed approach.
机译：针对一类具有随机延迟的网络控制系统（NCS），研究了鲁棒故障检测滤波器（FDF）的设计和优化问题。通过假设随机延迟服从马尔可夫链，将NCSs建模为马尔可夫跳跃系统（MJS）。基于该模型，构造了一个基于观察者的残差生成器，并将相应的故障检测问题表述为一个.8滤波问题，该问题使残差信号和故障之间的误差尽可能小。根据线性矩阵不等式（LMI），得出了存在所需FDF的充分条件。此外，为了提高鲁棒故障检测系统的性能，提出了一种时域优化方法。最优化问题的解以矩阵的Moore-Penrose逆的形式给出。提供了一个数值示例来说明所提出方法的有效性和潜力。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第5期|231749.1-231749.11|共11页
  • 作者

    Jiang Weilai; Dong Chaoyang; Niu Erzhuo; Wang Qing;

  • 作者单位

    Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.;

    Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.;

    AVIC, Flight Automat Control Res Inst, Xian AVIC, Shaanxi, Peoples R China.;

    Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China.;

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