In:
Journal of Control Science and Engineering, Hindawi Limited, Vol. 2008 ( 2008), p. 1-12
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.
Type of Medium:
Online Resource
ISSN:
1687-5249
,
1687-5257
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2008
detail.hit.zdb_id:
2267501-2
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