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Optimal fault detection for linear discrete time-varying systems

✍ Scribed by Maiying Zhong; Steven X. Ding; Eve L. Ding

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 439 KB
Volume: 46
Category: Article
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2010.05.022

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✦ Synopsis

This paper deals with the problem of observer-based fault detection for linear discrete time-varying (LDTV) systems. A problem formulation is first proposed to address the optimization of the fault detection filter (FDF) design, which is expressed in terms of maximizing a finite horizon H ∞ /H ∞ or H -/H ∞ performance index. This formulation can be applied to FDF design of LDTV systems subject to l 2 -norm bounded unknown inputs or stochastic noise sequences. It is shown that a unified optimal solution to the FDF can be obtained by solving the discrete time Riccati equation and the optimal FDF is not unique. A numerical example is given to illustrate the proposed method.

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