This paper proposes a novel method of fault detection, which is based on H_/H∞ Runge–Kutta observer and an adaptive threshold for a class of closed-loop non-linear systems. The purpose of this paper is to improve the rapidity and accuracy of fault detection.,First, the authors design the H_/H∞ Runge–Kutta fault detection observer, which is used as a residual generator to decouple the residual from the input. The H_ performance index metric in the specified frequency domain is used to describe how sensitive the residual to the fault. The H∞ norm is used to describe the residual robustness to the external disturbance of the systems. The residual generator is designed to achieve the best tradeoff between robustness against unknown disturbances but sensitivity to faults, thus realizing the accurate detection of the fault by suppressing the influence of noise and disturbance on the residual. Next, the design of the H_/H∞ fault detection observer is transformed into a convex optimization problem and solved by linear matrix inequality. Then, a new adaptive threshold is designed to improve the accuracy of fault detection.,The effectiveness and correctness of the method are tested in simulation experiments.,This paper presents a novel approach to improve the accuracy and rapidity of fault detection for closed-loop non-linear system with disturbances and noise.

中文翻译：

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有扰动闭环非线性系统的H_/H∞故障检测观测器设计

本文提出了一种新的故障检测方法，该方法基于 H_/H∞ Runge-Kutta 观测器和一类闭环非线性系统的自适应阈值。本文的目的是提高故障检测的快速性和准确性。首先，作者设计了H_/H∞ Runge-Kutta故障检测观测器，作为残差生成器，将残差与输入解耦。指定频域中的H_性能指标度量用于描述残差对故障的敏感程度。H∞ 范数用于描述系统对外部扰动的剩余鲁棒性。残差生成器旨在实现对未知干扰的鲁棒性和对故障的敏感性之间的最佳折衷，从而通过抑制噪声和扰动对残差的影响，实现故障的准确检测。接下来，将 H_/H∞ 故障检测观测器的设计转化为凸优化问题并通过线性矩阵不等式求解。然后,设计了一种新的自适应阈值来提高故障检测的准确性。,通过仿真实验测试了该方法的有效性和正确性。,本文提出了一种提高闭环故障检测准确性和快速性的新方法。具有干扰和噪声的非线性系统。