An LMI Approach to Worst Case Analysis for Fault Detection Observers

Jian Liu, Jian Liang Wang, Guang Hong Yang

Research output: Journal PublicationConference articlepeer-review

16 Citations (Scopus)

Abstract

This paper systematically formulates the worst-case fault sensitivity analysis problem for fault detection observers. The lowest level of a fault detector's fault sensitivity is defined as an ℋ- index. A full characterization of the ℋ- index is given in terms of matrix equalities and inequalities as a dual of the Bounded Real Lemma. Necessary and sufficient conditions are given to find a lower bound of ℋ- index, which can be calculated efficiently by Linear Matrix Inequality (LMI) solvers. In addition, the analysis problem with respect to a finite frequency band is also solved by adding weighting filters, which is very useful for strictly proper systems. The necessary and sufficient conditions for input observability are also given, which is a necessary condition for a fault detection observer to have a nonzero worst-case fault sensitivity. The effectiveness of the proposed approaches is shown by numerical examples.

Original languageEnglish
Pages (from-to)2985-2990
Number of pages6
JournalProceedings of the American Control Conference
Volume4
Publication statusPublished - 2003
Externally publishedYes
Event2003 American Control Conference - Denver, CO, United States
Duration: 4 Jun 20036 Jun 2003

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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