Robust Fault Detection Observer Design: Iterative LMI Approaches

[+] Author and Article Information
H. B. Wang

Department of Control Engineering, School of Information Science and Engineering, Central South University, Changsha, P.R.C.hbwang1971@yahoo.com.cn

J. L. Wang

School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 678949, Singaporeejlwang@ntu.edu.sg

J. Lam

Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kongjlam@hku.hk

J. Dyn. Sys., Meas., Control 129(1), 77-82 (Jul 17, 2006) (6 pages) doi:10.1115/1.2397155 History: Received August 26, 2004; Revised July 17, 2006

This paper deals with the Robust Fault Detection (RFD) problem with the aid of the H norm and H index optimization techniques and the LMI approach. First, a necessary and sufficient condition is proposed for the design of RFD observers in the nominal case. Then, the RFD problem for systems with structured uncertainties in the system matrices is considered. Approaches are proposed to design robust fault detection observers to enhance the fault detection and to attenuate the effects due to unknown inputs and uncertainties. Furthermore, the design of the threshold of fault detection is investigated. We also consider the fault sensitivity over finite frequency range in which case no constraint is required on D being of full column rank for a system (A,B,C,D). Numerical examples are employed to demonstrate the effectiveness of the proposed methods.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Variation of performance index γ=γ1∕γ2

Grahic Jump Location
Figure 2

Evolution of residual evaluation function



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