In this study, event-triggered fault estimation (FE) problem for a class of discrete-time dynamic systems subject to sector-bounded nonlinearity and time-varying coefficients is investigated. For a given event-triggered measurement transmission scheme, the event-induced output non-persistence for the fault estimator is modeled by norm-bounded observation uncertainty. After giving a suitable H_∞ performance index and formulating the estimation problem for the concerned nonlinear system with event-triggered measurements, an auxiliary model in a quasi-linear form and an associated H_∞ performance function are established. With the aid of this auxiliary model and performance function, the sector-bounded nonlinearity condition and the induced observation uncertainty are packaged simultaneously, and the considered H_∞ FE problem in Hilbert space is recast as an H₂ deconvolution filtering issue in Krein space. Through designing Krein space based model with appropriate inner products, and using the orthogonally projection technique, fault estimator is derived in an analytical and recursive manner. The condition that ensures the existence of the estimator is also obtained. Two examples are adopted to demonstrate the applicability of the proposed method.

中文翻译：

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受扇区有界非线性影响的离散时变系统的事件触发故障估计：基于 Kerin 空间的方法

在这项研究中，研究了一类受扇区有界非线性和时变系数影响的离散时间动态系统的事件触发故障估计（FE）问题。对于给定的事件触发测量传输方案，故障估计器的事件引起的输出非持久性由范数有界观察不确定性建模。在给出合适的H _∞性能指标并用事件触发测量为相关非线性系统制定估计问题后，拟线性形式的辅助模型和相关的H _∞绩效职能成立。借助该辅助模型和性能函数，将扇区有界非线性条件和诱导观测不确定性同时打包，将希尔伯特空间中所考虑的H _∞有限元问题改写为Kerin 空间中的H ₂反卷积滤波问题。通过设计具有合适内积的Ke​​rin空间模型，并使用正交投影技术，以解析和递归的方式推导出故障估计量。也得到了保证估计量存在的条件。通过两个例子来证明所提出方法的适用性。