2012
IMAACA 2012 Proceeding
Interval approach for robust fault diagnosis
Authors: Mayank Shekhar Jha, Genevieve Dauphin-Tanguy, Belkacem Ould Bouamama
Abstract
It is seen that methodology for diagnosis of uncertain systems using the Bond Graph (BG) model in Linear Fractional Transformation (LFT) form is an effective way to detect the fault by systematic generation of robust adaptive thresholds. There are limitations associated, many of which are imposed due to the manner uncertain parameters can be treated. In this work, a new method of generating robust and adaptive thresholds is developed, where uncertain parameters can be treated as intervals that vary between certain upper and lower bounds. The developed method proposes to generate the envelopes, using the interval extension form of Analytic Redundancy Relations (ARRs) in continuous time domain. The interval extensions of ARR functions are obtained by replacing the uncertain parameters with their interval equivalent. A very optimum range of such a function can be obtained by taking into account parameter variation in the interval. Superior and inferior values of the range determine the thresholds that form the envelope. The methodology developed is then implemented over an uncertain model of DC Motor wherein cases of parameter deviation with time, multiple uncertain parameters are considered.
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