Computation of a reference model for robust fault detection and isolation residual generation

Authors:
Emmanuel Mazars;Imad M. Jaimoukha;Zhenhai Li
Affiliations:
Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London, UK;Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London, UK;Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London, UK
Venue:
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
Year:
2008

Citing 8
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Abstract

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 H∞-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.