An information-theoretic measure for anomaly detection in complex dynamical systems

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• 作者：Abhishek Srivastav ; Asok Ray ; Shalabh Gupta
• 关键词：Anomaly detection ; Equilibrium thermodynamics ; Statistical mechanics ; Fatigue damage ; Duffing oscillator
• 刊名：Mechanical Systems and Signal Processing
• 出版年：2009
• 出版时间：February 2009
• 年：2009
• 卷：23
• 期：2
• 页码：358-371
• 全文大小：675 K

文摘

This paper presents information-theoretic analysis of time-series data to detect slowly evolving anomalies (i.e., deviations from a nominal operating condition) in dynamical systems. A measure for anomaly detection is formulated based on the concepts derived from information theory and statistical thermodynamics. The underlying algorithm is first tested on a low-dimensional complex dynamical system with a known structure—the Duffing oscillator with slowly changing dissipation. Then, the anomaly detection tool is experimentally validated on test specimens of 7075-T6 aluminum alloy under cyclic loading. The results are presented for both cases and the efficacy of the proposed method is thus demonstrated for systems of known and unknown structures.