NDLI: Fault detection for NARMAX stochastic systems using entropy optimization principle

Content Provider	IEEE Xplore Digital Library
Author	Liping Yin Lei Guo
Copyright Year	2009
Description	Author affiliation: School of Automation, Southeast University, Nanjing 210096, China (Liping Yin; Lei Guo)
Abstract	In this paper, the fault detection (FD) problem is studied for a class of NARMAX models with non-Gaussian disturbances and faults, as well as a time delay. Since generally (extended) Kalman filtering approaches are insufficient to characterize the non-Gaussian variables, entropy is adopted to describe the uncertainty of the error system. After a filter is constructed to generate the detected error, the FD problem is reduced to an entropy optimization problem. The design objective is to maximize the entropies of the stochastic detection errors when the faults occur, and to minimize the entropies of the stochastic estimation errors resulting from other stochastic noises. To improve the FD performance, a multi-step-ahead predictive nonlinear cumulative cost function is adopted rather than the instantaneous performance index. Following the formulation of the probability density function of the stochastic error in terms of those of both of the disturbances and the faults via a constructed mapping, new recursive approaches are established to calculate the entropies of the detection errors. Renyi's entropy has also been used to simplify the cost function. Finally, simulations are given to demonstrate the effectiveness of the proposed control algorithm.
Starting Page	859
Ending Page	864
File Size	134334
Page Count	6
File Format	PDF
ISBN	9781424427222
DOI	10.1109/CCDC.2009.5191878
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Estimation error Uncertainty Filtering Delay effects entropy optimization optimal control Entropy non-Gaussian system Fault detection Stochastic systems Stochastic resonance Cost function Kalman filters probability density function
Content Type	Text
Resource Type	Article

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