Brief paper: A Bayesian solution to the multiple composite hypothesis testing for fault diagnosis in dynamic systems

Authors:
Davi Antônio dos Santos;Takashi Yoneyama
Affiliations:
Instituto Tecnológico de Aeronáutica, Divisão de Engenharia Mecínica-Aeronáutica, 12228-900 - São José dos Campos, SP, Brazil;Instituto Tecnológico de Aeronáutica, Divisão de Engenharia Eletrônica, 12228-900 - São José dos Campos, SP, Brazil
Venue:
Automatica (Journal of IFAC)
Year:
2011

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A method for quantitative fault diagnosability analysis of stochastic linear descriptor models

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Abstract

This paper is concerned with model-based isolation and estimation of additive faults in discrete-time linear Gaussian systems. The isolation problem is stated as a multiple composite hypothesis testing on the innovation sequence of the Kalman filter (KF) that considers the system operating under fault-free conditions. Fault estimation is carried out, after isolating a fault mode, by using the Maximum a Posteriori (MAP) criterion. An explicit solution is presented for both fault isolation and estimation when the parameters of the fault modes are assumed to be realizations of specific random variables (RV).