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Minimal-order functional observer-based residual generators for fault detection and isolation of dynamical systems

Tran, H. M. and Trinh, H. 2016, Minimal-order functional observer-based residual generators for fault detection and isolation of dynamical systems, Mathematical problems in engineering, vol. 2016, pp. 1-17, doi: 10.1155/2016/2740645.

Title Minimal-order functional observer-based residual generators for fault detection and isolation of dynamical systems
Author(s) Tran, H. M.
Trinh, H.
Journal name Mathematical problems in engineering
Volume number 2016
Article ID 2740645
Start page 1
End page 17
Total pages 17
Publisher Hindawi Publishing Corporation
Place of publication New York, N.Y.
Publication date 2016
ISSN 1024-123X
Keyword(s) Science & Technology
Physical Sciences
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Summary This paper examines the design of minimal-order residual generators for the purpose of detecting and isolating actuator and/or component faults in dynamical systems. We first derive existence conditions and design residual generators using only first-order observers to detect and identify the faults. When the first-order functional observers do not exist, then based on a parametric approach to the solution of a generalized Sylvester matrix equation, we develop systematic procedures for designing residual generators utilizing minimal-order functional observers. Our design approach gives lower-order residual generators than existing results in the literature. The advantages for having such lower-order residual generators are obvious from the economical and practical points of view as cost saving and simplicity in implementation can be achieved, particularly when dealing with high-order complex systems. Numerical examples are given to illustrate the proposed fault detection and isolation schemes. In all of the numerical examples, we design minimum-order residual generators to effectively detect and isolate actuator and/or component faults in the system.
Language eng
DOI 10.1155/2016/2740645
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Grant ID DP130101532
Copyright notice ©2016, The Authors
Free to Read? Yes
Use Rights Creative Commons Attribution licence
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Document type: Journal Article
Collection: School of Engineering
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Created: Fri, 10 Jun 2016, 16:48:51 EST

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