Fault Identification in Non-Stationary Systems Based on Sliding Mode Observers
https://doi.org/10.17587/mau.22.625-633
Abstract
The paper is devoted to the problem of fault identification in technical systems described by non-stationary nonlinear dynamic equations under unmatched disturbances. To solve the problem, sliding mode observers are used. The suggested ap- proach is based on the model of the original system of minimal dimension having different sensitivity to the faults and distur- bances in contrast to the traditional approaches to sliding observer design which are based on the original system. Additionally it is assumed that matrices describing such a model have the canonical form and are constant. The main purpose of using such a model is possibility to take into account the non-stationary feature of the systems. As a result, the model has stationary dynamic and non-stationary additional term that allows to promote sliding mode design. Besides, the new approach to design sliding mode observers is suggested. The peculiarity of this approach is that it does not require that original systems should be minimum phase and detectable. According to the traditional approaches stability of the observer is provided by minimum phase and detectability properties. In our approach, stability of the observer is achieved due to the canonical form of the matrices describing the model. In addition, the matching condition is not necessary. This allows to extend a class of systems for which sliding mode observers can be designed. Theoretical results are illustrated by practical example of electric servoactuator.
Supporting agencies: This work was supported by the Russian Foundation of Basic Researches, project no. 20-38-70161, in part project no. 19-08-00347, in part by President grant SP-3252.2019.5.
About the Authors
A. V. Zuev
Far Eastern Federal University;
Institute of Marine Technology Problems
Russian Federation
Russian Federation
Vladivostok, 690950
A. N. Zhirabok
Far Eastern Federal University;
Institute of Marine Technology Problems
Russian Federation
Russian Federation
Zhirabok Aleksey N., Dr. of Sci., Professor
Vladivostok, 690950
V. F. Filaretov
Institute of Automation and Control Processes
Russian Federation
Russian Federation
Vladivostok, 690014
A. A. Protsenko
Institute of Marine Technology Problems
Russian Federation
Russian Federation
Vladivostok, 690950
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Review
For citations:
Zuev A.V., Zhirabok A.N., Filaretov V.F., Protsenko A.A. Fault Identification in Non-Stationary Systems Based on Sliding Mode Observers. Mekhatronika, Avtomatizatsiya, Upravlenie. 2021;22(12):625-633. (In Russ.) https://doi.org/10.17587/mau.22.625-633
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