Elsevier

Automatica

Volume 47, Issue 1, January 2011, Pages 158-163
Automatica

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

https://doi.org/10.1016/j.automatica.2010.10.030Get rights and content
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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).

Keywords

Fault diagnosis
Multiple hypothesis testing
Estimation theory
Detection theory

Cited by (0)

Davi Antônio dos Santos was born in Brazil in 1981. He received the B.Sc. degree from Universidade Federal de Itajubá in 2005 in Automation and Control Engineering and the M.Sc. degree from Instituto Tecnológico de Aeronáutica (ITA) in 2008 in Electronics Engineering. He is currently pursuing the Ph.D. degree in Electronics Engineering at ITA, where he is an Assistant Professor since 2009. His main research interests are in estimation and control theory.

Takashi Yoneyama was born in Brazil in 1953. He received the B.Sc. and M.Sc. degrees from Instituto Tecnológico de Aeronáutica in 1975 and 1979, respectively, both in Electronics Engineering and the Ph.D. degree in Electrical Engineering from University of London in 1983. He holds currently an academic position at Instituto Tecnológico de Aeronáutica as a Professor of Control Theory. His research is mainly concerned with Stochastic Optimal Control Theory. He has published more than 60 journal papers, 250 articles in scientific events and has supervised more than 50 theses. Prof. Yoneyama served as the President of the Brazilian Automatics Society during the period 2004–2006.

☆

This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Fabrizio Dabbene under the direction of Editor Roberto Tempo.

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