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

http://doi.org/10.1631/jzus.2006.A1733


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.

@article{title="Design of H robust fault detection filter for nonlinear time-delay systems",
author="BAI Lei-shi, HE Li-ming, TIAN Zuo-hua, SHI Song-jiao",
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pages="1733~1741",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1733"
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%T Design of H robust fault detection filter for nonlinear time-delay systems
%A BAI Lei-shi
%A HE Li-ming
%A TIAN Zuo-hua
%A SHI Song-jiao
%J Journal of Zhejiang University SCIENCE A
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%N 10
%P 1733~1741
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1733

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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
Y1 - 2006
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1733


Abstract: 
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

Reference

[1] Chen, J., Patton, P.R., 1999. Robust Model-based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers, Boston, p.19-64.

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[3] Ding, S.X., Jeinsch, T., Frank, P.M., Ding, E.L., 2000. A unified approach to the optimization of fault detection systems. Int. J. Adap. and Sign. Proc., 14(7):725-745.

[4] Ding, S.X., Zhong, M.Y., Tang, B.Y., Wang, H.B., Zhang, P., 2001. An LMI Approach to the Design of Fault Detection Filter for Time-delay LTI Systems with Unknown Inputs. Proceedings of the American Control Conference. International Conference and Arlington, VA, p.2137-2142.

[5] Frank, P.M., Ding, S.X., 1997. Survey of robust residual generation and evaluation methods in observer-based fault detection systems. J. Proc. Control, 7(6):403-424.

[6] Gao, Z., Wang, H., 2006. Descriptor observer approaches for multivariable systems with measurement noises and application in fault detection and diagnosis. Systems and Control Letters, 55(4):304-313.

[7] Garcia, E.A., Frank, P.M., 1997. Deterministic nonlinear observer-based approaches to fault diagnosis: a survey. Control Eng. Practice, 5(5):663-670.

[8] Jiang, C.H., Zhou, D.H., 2005. Fault detection and identification for uncertain time-delay systems. Computers and Chemical Engineering, 30(2):228-242.

[9] Lien, C.H., 2004. An efficient method to design robust observer-based control of uncertain linear systems. Applied Mathematics and Computation, 158(1):29-44.

[10] Richard, J.P., 2003. Time-delay systems: an overview of some recent advances and open problems. Automatica, 39(10):1667-1694.

[11] Wang, Z.D., Goodall, D.P., Buranham, K.J., 2002. On designing observers for time-delay systems with non-linear disturbances. Int. J. Control, 75(11):803-811.

[12] Zhong, M.Y., Ding, S.X., James, L., Wang, H.B., 2003. An LMI approach to design robust fault detection filter for uncertain LTI systems. Automatica, 39(3):543-550.

[13] Zhou, D.H., Ye, H., Wang, G.Z., Ding, X.C., 1998. Discussion of some important issues of observer based fault diagnosis technique. Acta Automatica Sinica, 24(3):338-344 (in Chinese).

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