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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.10 P.1733~1741


Design of H robust fault detection filter for nonlinear time-delay systems

Author(s):  BAI Lei-shi, HE Li-ming, TIAN Zuo-hua, SHI Song-jiao

Affiliation(s):  Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding email(s):   baileishi@sjtu.edu.cn

Key Words:  Nonlinear time-delay systems, Robust fault detection filter (RFDF), H&infin, optimization, Linear matrix inequality (LMI)

BAI Lei-shi, HE Li-ming, TIAN Zuo-hua, SHI Song-jiao. Design of H robust fault detection filter for nonlinear time-delay systems[J]. Journal of Zhejiang University Science A, 2006, 7(10): 1733~1741.

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%T Design of H robust fault detection filter for nonlinear time-delay systems
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%A HE Li-ming
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%A SHI Song-jiao
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1733

T1 - Design of H robust fault detection filter for nonlinear time-delay systems
A1 - BAI Lei-shi
A1 - HE Li-ming
A1 - TIAN Zuo-hua
A1 - SHI Song-jiao
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 10
SP - 1733
EP - 1741
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1733

In this paper, the robust fault detection filter (RFDF) design problems are studied for nonlinear time-delay systems with unknown inputs. First, a reference residual model is introduced to formulate the RFDF design problem as an H&infin; model-matching problem. Then appropriate input/output selection matrices are introduced to extend a performance index to the time-delay systems in time domain. The reference residual model designed according to the performance index is an optimal residual generator, which takes into account the robustness against disturbances and sensitivity to faults simultaneously. Applying robust H&infin; optimization control technique, the existence conditions of the RFDF for nonlinear time-delay systems with unknown inputs are presented in terms of linear matrix inequality (LMI) formulation, independently of time delay. An illustrative design example is used to demonstrate the validity and applicability of the proposed approach.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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