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首页> 外文期刊>Automatica >Fault Detection and Isolation of discrete-time Markovian jump linear systems with application to a network of multi-agent systems having imperfect communication channels
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Fault Detection and Isolation of discrete-time Markovian jump linear systems with application to a network of multi-agent systems having imperfect communication channels

机译：离散时间马尔可夫跳跃线性系统的故障检测与隔离及其在通信路径不完善的多主体系统网络中的应用

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摘要

This paper deals with the problem of Fault Detection and Isolation (FDI) for discrete-time Markovian Jump Linear Systems (MJLSs). A geometric property related to the unobservable subspace of an MJLS is first presented and the concept of unobservability subspace is introduced. Sufficient conditions for designing an H_∞-based FDI algorithm for MJLSs subject to input disturbances and measurement noise are presented and developed. Our proposed approach is then applied to the problem of fault detection and isolation in a network of multi-agent systems when imperfect communication channels exist among the agents. A discrete-time communication link with a stochastic packet dropping effect is considered based on the Gilbert-Elliott model and the entire network is modeled as a discrete-time MJLS. Simulation results are presented for formation flight of satellites to demonstrate and verify the effectiveness and performance capabilities of our proposed FDI algorithm.
机译：本文研究了离散时间马尔可夫跳跃线性系统（MJLS）的故障检测与隔离（FDI）问题。首先介绍了与MJLS的不可观察子空间有关的几何性质，并介绍了不可观察子空间的概念。提出并开发了针对输入干扰和测量噪声的MJLS设计基于H_∞的FDI算法的充分条件。然后，当代理之间存在不完善的通信通道时，我们提出的方法将应用于多代理系统网络中的故障检测和隔离问题。基于吉尔伯特-埃利奥特（Gilbert-Elliott）模型，考虑了具有随机丢包效应的离散时间通信链路，并将整个网络建模为离散时间MJLS。给出了卫星编队飞行的仿真结果，以证明和验证我们提出的FDI算法的有效性和性能。

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