A systematic method for the design of disturbance-decoupled linear residual generators for fault detection and isolation (FDI) in nonlinear systems is developed. Necessary and sufficient conditions for the existence of linear residual generators for nonlinear systems are derived. As long as these conditions are satisfied, we obtain explicit design formulas for the residual generator, with eigenvalue assignment. The proposed formulation and results provide a nonlinear generalisation of standard FDI methods for linear systems. The method is applied to three case studies: a bio reactor, a continuous stirred tanked reactor (CSTR) and a process network.

中文翻译：

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用于非线性系统故障检测和隔离的线性残差发生器设计

开发了一种用于设计用于非线性系统中的故障检测和隔离 (FDI) 的干扰解耦线性剩余发生器的系统方法。推导了非线性系统存在线性残差发生器的充要条件。只要满足这些条件，我们就可以获得带有特征值分配的残差生成器的明确设计公式。所提出的公式和结果为线性系统的标准 FDI 方法提供了非线性推广。该方法应用于三个案例研究：生物反应器、连续搅拌罐式反应器 (CSTR) 和工艺网络。