Optimal fault-detection filtering for non-Gaussian systems via output PDFs

Authors:
Tao Li;Lei Guo
Affiliations:
Research Institute of Automation, Southeast University, Nanjing, China and Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing, China;School of Instrument Science and Opto-Electronics Engineering, Beihang University, Beijing, China and Research Institute of Automation, Southeast University, Nanjing, China
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Year:
2009

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Abstract

In this paper, a new optimal fault-detection (FD) problem is addressed for a class of non-Gaussian stochastic systems called stochastic distribution systems (SDSs). For an SDS, the available information for the FD system may be the measured output probability density function. A sufficient existence condition of guaranteed cost filters is presented by constructing an augmented Lyapunov functional approach. In order to improve the detection sensitivity performance, an optimization algorithm, with linear matrix inequality constraints, is presented to minimize the threshold value. An example is given to demonstrate the effectiveness of the proposed approach.