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Research Papers

Fault Detection and Isolation of Nonlinear Systems: An Unknown Input Observer Approach With Sum-of-Squares Techniques

[+] Author and Article Information
Jun Xu

Temasek Laboratories,National University of Singapore,Singapore 117411tslxuj@nus.edu.sg

Kai-Yew Lum1

 Department of Electrical Engineering, National Chi Nan University, Taiwan 54561, Chinakylum@ncnu.edu.tw

Lihua Xie

School of Electrical and Electronic Engineering, Nanyang Technological University,Singapore 639798elhxie@ntu.edu.sg

Ai-Poh Loh

 Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117508elelohap@nus.edu.sg

1

The author was with Temasek Laboratories, National University of Singapore when the work was done.

J. Dyn. Sys., Meas., Control 134(4), 041005 (Apr 27, 2012) (7 pages) doi:10.1115/1.4006074 History: Received November 28, 2010; Revised November 10, 2011; Published April 26, 2012; Online April 27, 2012

This paper presents a novel nonlinear unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems. By using sum-of-squares (SOS) theory and Lie geometry as the main tools, we demonstrate how to relax the rank constraint in the traditional UIO approach and simplify the design procedure, especially for the polynomial nonlinear systems. Meanwhile, we show that the detection and isolation thresholds based on the L2 gains can be easily obtained via optimization formulated in terms of SOS. Simulation examples are given to illustrate the design procedure and the advantages.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Residual trajectories of UIOs when f1 has a fault

Grahic Jump Location
Figure 2

Residual trajectories of UIOs when f2 has a fault

Grahic Jump Location
Figure 3

Residual trajectories of UIOs when f1 has a fault

Grahic Jump Location
Figure 4

Residual trajectories of UIOs when f2 has a fault

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