Fault Detection and Isolation of Nonlinear Systems: An Unknown Input Observer Approach With Sum-of-Squares Techniques-Reference-Cited by-同舟云学术

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

Published:2012-04-27 Issue:4 Volume:134 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Xu Jun¹,Lum Kai-Yew²,Xie Lihua³,Loh Ai-Poh⁴

Affiliation:

1. Temasek Laboratories,National University of Singapore, Singapore 117411

2. Department of Electrical Engineering, National Chi Nan University, Taiwan 54561, China

3. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798

4. Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117508

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.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4006074/5523053/041005_1.pdf

Reference32 articles.

1. Robust Model-Based Fault Diagnosis for Dynamic Systems

2. Fault-Diagnosis Systems

3. A Review of Process Fault Detection and Diagnosis Part III: Process History Based Methods;Venkatasubramanian;Comput. Chem. Eng.

4. Robust Fault Detection Observer Design: Iterative LMI Approaches;Wang;ASME J. Dyn. Syst., Meas., Control

5. Filter-Based Fault Detection and Diagnosis Using Output PDFs for Stochastic Systems With Time Delays;Zhang;Int. J. Adapt. Control Signal Process.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Introduction to State Estimation of High-Rate System Dynamics;Sensors;2018-01-13

2. Fault Detection and Isolation of Nonlinear Systems with Generalized Hamiltonian Representation;Fault Diagnosis and Detection;2017-05-31

3. Robust state estimation for a class of uncertain nonlinear systems: Comparison of two approaches;ISA Transactions;2017-05

4. Stability conditions based on SOS polynomials;Control and Estimation of Piecewise Affine Systems;2014