This article is cited in 2 papers

Nonlinear Systems

Decision making in nonlinear dynamical system diagnosis by a nonparametric method

A. E. Shumskii, A. N. Zhirabok

Far Eastern Federal University, Vladivostok, 690090 Russia

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.

Keywords: nonlinear dynamical system, diagnosis, robustness, nonparametric method.

Presented by the member of Editorial Board: S. A. Krasnova

Received: 02.11.2019
Revised: 14.08.2020
Accepted: 10.09.2020

DOI: 10.31857/S0005231021020070

 English version: Automation and Remote Control, 2021, 82:2, 278–293

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