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Design of H_∞ Fault Detection Filter for Delta Operator-Formulated Discrete-Time System

Wang Chun-ying

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Abstract

Based on linear matrix inequality(LMI),the problem of H∞ fault detection for Delta operator-formulated discrete-time system is studied.The fault and the disturbance are regarded as the generalized disturbances.By using H∞ control theory,sufficient conditions for the existence of the H∞ fault detection filter for Delta operator-formulated discrete-time system are given in LMI forms.Then a numerical example is given to illustrate the effectiveness of the proposed approach.The designed filter can ensure that the resulted closed-loop Delta operator-formulated system is asymptotically stable and has the expected H∞ performance,and the fault detection results are closer to the results which are based on continuous systems when the sampling period is very small.

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What this paper is about

Based on linear matrix inequality(LMI),the problem of H∞ fault detection for Delta operator-formulated discrete-time system is studied.The fault and the disturbance are regarded as the generalized disturbances.By using H∞ control theory,sufficient conditions for the existence of the H∞ fault detection filter for Delta operator-formulated discrete-time system are given in LMI forms.Then a numerical example is given to illustrate the effectiveness of the proposed approach.The designed filter can ensure that the resulted closed-loop Delta operator-formulated system is asymptotically stable and has the expected H∞ performance,and the fault detection results are closer to the results which are based on continuous systems when the sampling period is very small.

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Available abstract

Based on linear matrix inequality(LMI),the problem of H∞ fault detection for Delta operator-formulated discrete-time system is studied.The fault and the disturbance are regarded as the generalized disturbances.By using H∞ control theory,sufficient conditions for the existence of the H∞ fault detection filter for Delta operator-formulated discrete-time system are given in LMI forms.Then a numerical example is given to illustrate the effectiveness of the proposed approach.The designed filter can ensure that the resulted closed-loop Delta operator-formulated system is asymptotically stable and has the expected H∞ performance,and the fault detection results are closer to the results which are based on continuous systems when the sampling period is very small.

Key concepts: Delta operator, Linear matrix inequality, Control theory (sociology), Fault detection and isolation, Filter (signal processing), Operator (biology), Fault (geology), Discrete time and continuous time

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