This article is concerned with the problem of intermittent fault detection for a class of nonlinear systems through observer-based methods. Different from the permanent fault detection, this article devotes to detecting both the appearance and disappearance of intermittent faults, which has strict requirements on the convergence property of the observation error. A predefined-time observer is designed for sector-bounded nonlinear systems to guarantee that the observation error reaches stability within a preset time. Using the implicit Lyapunov function method and the homogeneity theory, some linear matrix equations and inequalities are derived to solve the observer gain such that the observation error system is input-to-state stable. Then, the residual is generated and evaluated to detect the fault. Finally, the feasibility and effectiveness of the proposed approach are verified by an experiment on the prototype of rotary steerable drilling tool system.

中文翻译：

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通过预定义时间观测器对一类非线性系统进行间歇传感器故障检测


本文研究的是通过基于观测器的方法对一类非线性系统进行间歇性故障检测的问题。与永久性故障检测不同，本文致力于检测间歇性故障的出现和消失，这对观测误差的收敛性有严格的要求。针对扇区非线性系统设计了预定义时间观测器，保证观测误差在预设时间内达到稳定。利用隐式Lyapunov函数方法和齐次性理论，推导了一些线性矩阵方程和不等式来求解观测器增益，使得观测误差系统输入状态稳定。然后，生成并评估残差以检测故障。最后通过旋转导向钻井工具系统样机实验验证了该方法的可行性和有效性。