Citation

Abstract

Model-based fault diagnosis has become an important approach for diagnosis of dynamical systems. By comparing the observed sensor values with those of the values predicted by the model, e.g., the residual, the health of the system can be assessed. However, because of modeling errors, sensor noise, disturbances, etc., direct comparison of observed and predicted values can be di–cult. In an efiort to address this problem, we present a new method called the gray-box method. It is called a "gray box" because a deterministic model of the system, i.e., a "white box," is used to filter the data and generate a residual, while a stochastic model, i.e., a "black-box," is used to describe the residual. Instead of setting a threshold on the residual, the residual is modeled by a three-tier stochastic model. The linear and nonlinear components of the residual are described by an autoregressive process and a time-delay feed-forward neural network, respectively. The last component, the noise, is characterized by its moments. The stochastic model provides a complete description of the residual, and the faults can be detected by monitoring the parameters of the autoregressive model, the weights of the neural network, and the moments of noise. The method is robust to system modeling errors and is applicable to both linear and nonlinear systems.

Keywords

gray box data processing detection of abnormalities

Details

Volume
42-144
Published
February 15, 2001
Pages
1–11
File Size
141.6 KB