Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach
Event‐triggered fault estimation for discrete time‐varying systems subject to sector‐bounded nonlinearity: A Krein space based approach
复制标题
DOI：
10.1002/rnc.5545
复制
发表时间：
2021-04
影响因子：
3.9
通讯作者：
Yueyang Li;Shuai Liu;Dong Zhao;Xiaorui Shi;Yigang Cui
中科院分区：
文献类型：
--
作者：
Yueyang Li;Shuai Liu;Dong Zhao;Xiaorui Shi;Yigang Cui
本文研究了一类具有扇区有界非线性和时变系数的离散时间动态系统的事件触发故障估计问题。对于给定的事件触发测量传输方案，故障估计器的事件诱导输出非持久性由范数有界观测不确定性建模。在给出一个合适的H∞性能指标和给出具有事件触发测量的非线性系统的估计问题后，建立了拟线性形式的辅助模型和相应的H∞性能函数。借助该辅助模型和性能函数，将扇形有界非线性条件和诱导的观测不确定性同时打包，将Hilbert空间中的H∞FE问题转化为Krein空间中的H2反卷积滤波问题。通过设计合适内积的基于Krein空间的模型，利用正交投影技术，以解析递推的方式推导出故障估计量。并给出了保证估计量存在的条件。通过两个算例验证了所提方法的适用性。
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.