具有事件触发协议的大规模系统的基于观测器的故障检测。

Tao Wang, Yapeng Li, Jikun Li
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摘要

本文研究基于事件触发区间观测器的连续线性大系统故障检测问题。首先,提出了一种基于区间观测器的故障检测方案。区间观测器的设计过程主要基于正系统理论和Lyapunov稳定性理论,并构造残差区间来判断系统行为是否正常。为了提高故障灵敏度,使故障信号对残差信号的影响最大化,在区间观测器设计过程中引入了相应的性能指标。其次,在间隔观察器设计中加入事件触发协议,减少对通信资源的占用;通过构造增广系统,导出了观测器矩阵的解条件。此外,还证明了在采用事件触发协议的情况下,不发生Zeno行为。最后,通过多架F-18飞机组成的大型系统算例和数值算例验证了结论的正确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Observer-based fault detection for large-scale systems with event-triggered protocols.

In this note, the problem of continuous linear large-scale systems fault detection based on event-triggered interval observers is considered. First, an interval observer-based fault detection scheme is proposed. The interval observer design process is mainly implemented based on positive system theory and Lyapunov stability theory, and the residual interval is constructed to determine whether the system behavior is normal. To improve the fault sensitivity and maximize the impact of the fault signal on the residual signal, the corresponding performance indicators are introduced in the interval observer design process. Second, an event-triggered protocol is added to the interval observer design to reduce the occupation of communication resources. The solution conditions of the observer matrix are derived by constructing an augmented system. In addition, it is demonstrated that no Zeno behavior occurs under the adopted event-triggered protocol. Finally, the correctness of conclusions is verified by a practical example of a large-scale system consisting of several F-18 aircraft and a numerical example.

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