Abstract

The problem of diagnosing dynamical systems described by models in the form of nonlinear differential equations with unknown coefficients (system parameters) is considered. To solve the problem, a nonparametric diagnostic method is used, which permits one to exclude the influence of unknown coefficients of the equations on the diagnosis results. The essence of the nonparametric method is presented. A new method for making decisions about the presence and type of a fault is proposed. The method takes into account model errors, uncontrolled disturbances, and measurement noise. A distinctive feature of the method is that it involves a complex combination of decision making by threshold logic with the comparison of the error (residual) signal against the fault signatures formed during the diagnosis process.

中文翻译：

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基于非参数方法的非线性动力系统诊断决策

摘要

考虑了诊断具有不确定系数（系统参数）的非线性微分方程形式的模型所描述的动力系统的问题。为了解决该问题，使用了一种非参数诊断方法，该方法允许排除方程的未知系数对诊断结果的影响。提出了非参数方法的实质。提出了一种用于确定故障的存在和类型的新方法。该方法考虑了模型误差，不受控制的干扰和测量噪声。该方法的一个显着特征是，它涉及通过阈值逻辑进行决策的复杂组合，并将错误（残留）信号与诊断过程中形成的故障特征进行比较。