IEEE Trans Cybern. 2017 Apr;47(4):1041-1052. doi: 10.1109/TCYB.2016.2536750. Epub 2016 Apr 4.
This paper investigates the problem of fault detection for nonlinear discrete-time networked systems under an event-triggered scheme. A polynomial fuzzy fault detection filter is designed to generate a residual signal and detect faults in the system. A novel polynomial event-triggered scheme is proposed to determine the transmission of the signal. A fault detection filter is designed to guarantee that the residual system is asymptotically stable and satisfies the desired performance. Polynomial approximated membership functions obtained by Taylor series are employed for filtering analysis. Furthermore, sufficient conditions are represented in terms of sum of squares (SOSs) and can be solved by SOS tools in MATLAB environment. A numerical example is provided to demonstrate the effectiveness of the proposed results.
本文研究了在事件触发方案下非线性离散时间网络系统的故障检测问题。设计了多项式模糊故障检测滤波器来产生残差信号，并检测系统中的故障。提出了一种新的多项式事件触发方案来确定信号的传输。设计了故障检测滤波器以保证残差系统渐近稳定并满足期望性能。采用泰勒级数得到的多项式近似隶属函数进行滤波分析。此外，以和的形式给出了充分条件，并可以通过 MATLAB 环境中的 SOS 工具进行求解。通过数值示例验证了所提出方法的有效性。
