Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques

Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques

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...

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Main Authors: Xu, Jun, Lum, Kai-Yew, Xie, Lihua, Loh, Ai-Poh
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
Subjects:
DRNTU::Engineering::Electrical and electronic engineering
Online Access:https://hdl.handle.net/10356/107330
http://hdl.handle.net/10220/17033
http://dx.doi.org/10.1115/1.4006074
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1073302019-12-06T22:28:59Z Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques Xu, Jun Lum, Kai-Yew Xie, Lihua Loh, Ai-Poh School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering 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. 2013-10-30T03:58:18Z 2019-12-06T22:28:59Z 2013-10-30T03:58:18Z 2019-12-06T22:28:59Z 2012 2012 Journal Article 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. 0022-0434 https://hdl.handle.net/10356/107330 http://hdl.handle.net/10220/17033 http://dx.doi.org/10.1115/1.4006074 en Journal of dynamic systems, measurement, and control
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Xu, Jun
Lum, Kai-Yew
Xie, Lihua
Loh, Ai-Poh
Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
description 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.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Xu, Jun
Lum, Kai-Yew
Xie, Lihua
Loh, Ai-Poh
format Article
author Xu, Jun
Lum, Kai-Yew
Xie, Lihua
Loh, Ai-Poh
author_sort Xu, Jun
title Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
title_short Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
title_full Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
title_fullStr Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
title_full_unstemmed Fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
title_sort fault detection and isolation of nonlinear systems : an unknown input observer approach with sum-of-squares techniques
publishDate 2013
url https://hdl.handle.net/10356/107330
http://hdl.handle.net/10220/17033
http://dx.doi.org/10.1115/1.4006074
_version_ 1681049231296561152

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