2010•Journal of tianjin University of TechnologyRequires access

Robust fault detection method based on H_2/H_∞ filter

Junfang Li

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Abstract

In this paper,the robust fault detection problem for linear time invariant(LTI)with both disturbances: unknown finite energy and white noise disturbances is studied.We formulate a mixed H2/H∞ filter residual generator,and solve filter gain by solving a convex minimization problem with a set of linear matrix inequality(LMI)constrains.Moreover,based on this we design robust detection threshold to realize robustness to disturbances and sensitivity to the faults to be detected.At last,the simulation results show the good effectiveness.

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In this paper,the robust fault detection problem for linear time invariant(LTI)with both disturbances: unknown finite energy and white noise disturbances is studied.We formulate a mixed H2/H∞ filter residual generator,and solve filter gain by solving a convex minimization problem with a set of linear matrix inequality(LMI)constrains.Moreover,based on this we design robust detection threshold to realize robustness to disturbances and sensitivity to the faults to be detected.At last,the simulation results show the good effectiveness.

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Available abstract

In this paper,the robust fault detection problem for linear time invariant(LTI)with both disturbances: unknown finite energy and white noise disturbances is studied.We formulate a mixed H2/H∞ filter residual generator,and solve filter gain by solving a convex minimization problem with a set of linear matrix inequality(LMI)constrains.Moreover,based on this we design robust detection threshold to realize robustness to disturbances and sensitivity to the faults to be detected.At last,the simulation results show the good effectiveness.

Key concepts: Control theory (sociology), Fault detection and isolation, Robustness (evolution), Linear matrix inequality, Residual, Convex optimization, Filter (signal processing), Computer science

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