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Journal of Control Science and Engineering
Volume 2008, Article ID 790893, 12 pages
Research Article

Computation of a Reference Model for Robust Fault Detection and Isolation Residual Generation

Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London SW7 2AZ, UK

Received 30 March 2007; Revised 31 August 2007; Accepted 3 November 2007

Academic Editor: Kemin Zhou

Copyright © 2008 Emmanuel Mazars et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers matrix inequality procedures to address the robust fault detection and isolation (FDI) problem for linear time-invariant systems subject to disturbances, faults, and polytopic or norm-bounded uncertainties. We propose a design procedure for an FDI filter that aims to minimize a weighted combination of the sensitivity of the residual signal to disturbances and modeling errors, and the deviation of the faults to residual dynamics from a fault to residual reference model, using the -norm as a measure. A key step in our procedure is the design of an optimal fault reference model. We show that the optimal design requires the solution of a quadratic matrix inequality (QMI) optimization problem. Since the solution of the optimal problem is intractable, we propose a linearization technique to derive a numerically tractable suboptimal design procedure that requires the solution of a linear matrix inequality (LMI) optimization. A jet engine example is employed to demonstrate the effectiveness of the proposed approach.