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

被引：0

作者：

Xu, Jun ^{[1
]}

Lum, Kai-Yew ^{[1
,2
]}

Xie, Lihua ^{[3
]}

Loh, Ai-Poh ^{[4
]}

机构：

[1] Natl Univ Singapore, Temasek Labs, Singapore 117411, Singapore

[2] Natl Chi Nan Univ, Dept Elect Engn, Taipei 54561, Taiwan

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[4] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117508, Singapore

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2012年 / 134卷 / 04期

关键词：

DESIGN;

D O I：

10.1115/1.4006074

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 L-2 gains can be easily obtained via optimization formulated in terms of SOS. Simulation examples are given to illustrate the design procedure and the advantages. [DOI: 10.1115/1.4006074]

引用

页数：7

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