Fault Detection Filter for T-S Fuzzy Time-Delay Systems Base on LMI

Abstract:

A Fault Detection scheme for T-S fuzzy systems with unknown inputs is discussed based on the LMI approach, adopting the H control theory. Firstly the reference model is introduced, a fault observer is constructed to reflect the residual of system fault. Then the proposed filter design provides sufficient conditions for the existence of a solution to the detection of faults. By means of the Projection Lemma, a quasi-convex formulation of the problem is obtained via LMI. The filter can guarantee the prescribed performance index, which minimizes the error between the residual and the real residual signal and has robust performance to unknown inputs. The effectiveness and feasibility of the proposed approach is illustrated via a numerical simulation.

• Periodical: Applied Mechanics and Materials (Volumes 494-495)
• Pages: 830-836
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.494-495.830
• Online since: February 2014
• Authors: Di Wu*, Qiang Li, Wei Xin Kang
• Keywords: Fault Detection, Linear Matrix Inequality (LMI), Residual, T-S Fuzzy Systems

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