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Title: Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
Authors: Xu, Jun
Lum, Kai-Yew
Xie, Lihua
Loh, Ai-Poh
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2012
Source: Xu, J., Lum, K.-Y., Xie, L., & Loh, A.-P. (2012). Fault Detection and Isolation of Nonlinear Systems: An Unknown Input Observer Approach With Sum-of-Squares Techniques. Journal of Dynamic Systems, Measurement, and Control, 134(4), 041005.
Series/Report no.: Journal of dynamic systems, measurement, and control
Abstract: 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.
ISSN: 0022-0434
DOI: 10.1115/1.4006074
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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