In this paper, we focused on the issue of fault detection subject to a class of conic-type nonlinear systems in the finite frequency domain (FFD). Applying Takagi Sugeno (T-S) fuzzy models, the conic-type dynamic error system is established. To prove that the residual vector is robust to external disturbances and sensitive to faults, we provide some conditions to realize H− fault sensitivity performance and H∞ disturbance attenuation performance within the FFD. Then, utilizing linear matrix inequalities techniques, the fuzzy fault detection observer design problem is transformed into an optimization algorithm. Finally, a numerical example related to a tunnel diode-circuit is given to confirm the validity of the designed scheme.

中文翻译：

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有限频域内圆锥型非线性系统的模糊故障检测

在本文中，我们重点研究了有限频域（FFD）中一类圆锥型非线性系统的故障检测问题。应用Takagi Sugeno（TS）模糊模型，建立了圆锥型动态误差系统。为了证明残差向量对外部扰动具有鲁棒性并且对故障敏感，我们提供了一些条件来实现 FFD 内的 H− 故障灵敏度性能和 H∞ 扰动衰减性能。然后，利用线性矩阵不等式技术，将模糊故障检测观测器设计问题转化为优化算法。最后，给出了与隧道二极管电路相关的数值例子，以确认设计方案的有效性。