Volume 4, Issue 1, January 2019, Page: 1-10
Switched Detection Filter Design for Nonlinear Systems
Zsolt Horváth, School of Postgraduate Studies of Multidisciplinary Sciences, Faculty of Technical Sciences, Széchenyi István University, Győr, Hungary
András Edelmayer, Department of Informatics Engineering, Faculty of Technical Sciences, Széchenyi István University, Győr, Hungary; Systems and Control Laboratory, Institute for Computer Science and Control, Hungarian Academy of Sciences, Budapest, Hungary
Received: Feb. 26, 2019;       Accepted: Apr. 3, 2019;       Published: May 7, 2019
DOI: 10.11648/j.ajmie.20190401.11      View  238      Downloads  29
Abstract
This paper presents the application of the concept of detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear fault detection filtering problem to nonlinear systems.
Keywords
Switched Linear System, Dwell Time, Switched Fault Detection Filter, MFARE
To cite this article
Zsolt Horváth, András Edelmayer, Switched Detection Filter Design for Nonlinear Systems, American Journal of Mechanical and Industrial Engineering. Vol. 4, No. 1, 2019, pp. 1-10. doi: 10.11648/j.ajmie.20190401.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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