李普希茨连续性
控制理论(社会学)
稳健性(进化)
非线性系统
残余物
频域
故障检测与隔离
数学
离散时间和连续时间
规范(哲学)
线性矩阵不等式
计算机科学
数学优化
算法
数学分析
控制(管理)
化学
法学
统计
人工智能
物理
基因
量子力学
生物化学
政治学
作者
Yanping Wang,Xiaoming Chen,Haixiao Guo
标识
DOI:10.1080/00207721.2021.1961915
摘要
This paper proposes an event-triggered H−/L∞ fault detection observer (FDO) design method for discrete-time Lipschitz nonlinear networked control systems (NCSs) in finite-frequency domain. First, a discrete event-triggered transmission scheme is proposed to mitigate the utility of limited network bandwidth. Second, with the aid of a reformulated Lipschitz property, the nonlinear error dynamics are converted into a linear parameter varying (LPV) networked system model. Third, based on this model, the finite-frequency H_/L∞ index is used to measure the worst-case fault sensitivity performance and the H_ norm from unknown disturbance to residual is used to measure disturbance robustness performance. Next, a residual evaluation and a dynamic threshold are synthesised based on the L∞ norm. Furthermore, sufficient conditions of the FDO design are derived and transformed by a set of linear matrix inequalities (LMIs). The proposed FDO design method can significantly reduce the data transmission to relieve the communication pressure, and can also achieve better FD performance than the full frequency domain. Finally, A numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach.
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