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Erschienen in: Journal of Computer and Systems Sciences International 3/2022

01.06.2022 | SYSTEMS THEORY AND GENERAL CONTROL THEORY

Fault Identification in Nonlinear Systems Based on Sliding Mode Observers with Weakened Existence Conditions

verfasst von: A. N. Zhirabok, A. V. Zuev, V. F. Filaretov, A. E. Shumsky

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 3/2022

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Abstract

This paper considers the problem of fault identification in systems described by nonlinear dynamic equations with disturbances. Sliding mode observers are used for the solution. The proposed approach is based on constructing a reduced (lower-dimensional) model of the original system with selective sensitivity to defects and disturbances. This model is introduced mainly to weaken the existence conditions for sliding mode observers compared to the known works, particularly the minimum phase, detectability, and matching conditions. The weakening effect is achieved since the reduced model may not have the original system’s properties hindering the construction of sliding mode observers. This theory is illustrated by an example.

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Literatur
1.
Zurück zum Zitat L. A. Mironovskii, Functional Diagnostics of Dynamic Systems (MGU-GRIF, Moscow, 1998) [in Russian]. L. A. Mironovskii, Functional Diagnostics of Dynamic Systems (MGU-GRIF, Moscow, 1998) [in Russian].
2.
Zurück zum Zitat V. I. Utkin, Sliding Modes and their Application in Systems with a Variable Structure (Nauka, Moscow, 1974) [in Russian]. V. I. Utkin, Sliding Modes and their Application in Systems with a Variable Structure (Nauka, Moscow, 1974) [in Russian].
3.
Zurück zum Zitat A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Diagnosis of linear systems based on sliding mode observers,” J. Comput. Syst. Sci. Int. 58, 898 (2019).CrossRef A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Diagnosis of linear systems based on sliding mode observers,” J. Comput. Syst. Sci. Int. 58, 898 (2019).CrossRef
4.
Zurück zum Zitat A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Method for fault identification in nonlinear systems based on sliding-mode observers,” J. Comput. Syst. Sci. Int. 60, 9 (2021).MathSciNetCrossRef A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Method for fault identification in nonlinear systems based on sliding-mode observers,” J. Comput. Syst. Sci. Int. 60, 9 (2021).MathSciNetCrossRef
5.
Zurück zum Zitat C. Edwards and S. Spurgeon, “On the development of discontinuous observers,” Int. J. Control 59, 1211–1229 (1994).MathSciNetCrossRef C. Edwards and S. Spurgeon, “On the development of discontinuous observers,” Int. J. Control 59, 1211–1229 (1994).MathSciNetCrossRef
6.
Zurück zum Zitat T. Floquet, J. Barbot, W. Perruquetti, and M. Djemai, “On the robust fault detection via a sliding mode disturbance observer,” Int. J. Control 77, 622–629 (2004).MathSciNetCrossRef T. Floquet, J. Barbot, W. Perruquetti, and M. Djemai, “On the robust fault detection via a sliding mode disturbance observer,” Int. J. Control 77, 622–629 (2004).MathSciNetCrossRef
7.
Zurück zum Zitat A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Diagnosis of linear dynamic systems: An approach based on sliding mode observers,” Autom. Remote Control 81, 211 (2020).MathSciNetCrossRef A. N. Zhirabok, A. V. Zuev, and A. E. Shumskii, “Diagnosis of linear dynamic systems: An approach based on sliding mode observers,” Autom. Remote Control 81, 211 (2020).MathSciNetCrossRef
8.
Zurück zum Zitat X. Yan and C. Edwards, “Nonlinear robust fault reconstruction and estimation using sliding mode observers,” Automatica 43, 1605–1614 (2007).MathSciNetCrossRef X. Yan and C. Edwards, “Nonlinear robust fault reconstruction and estimation using sliding mode observers,” Automatica 43, 1605–1614 (2007).MathSciNetCrossRef
9.
Zurück zum Zitat J. He and C. Zhang, “Fault reconstruction based on sliding mode observer for nonlinear systems,” Math. Probl. Eng. 2012, 451843-1–22 (2012).MathSciNetMATH J. He and C. Zhang, “Fault reconstruction based on sliding mode observer for nonlinear systems,” Math. Probl. Eng. 2012, 451843-1–22 (2012).MathSciNetMATH
10.
Zurück zum Zitat H. Alwi and C. Edwards, “Fault tolerant control using sliding modes with on-line control allocation,” Automatica 44, 1859–1866 (2008).MathSciNetCrossRef H. Alwi and C. Edwards, “Fault tolerant control using sliding modes with on-line control allocation,” Automatica 44, 1859–1866 (2008).MathSciNetCrossRef
11.
Zurück zum Zitat K. Chandra, H. Alwi, and C. Edwards, “Fault reconstruction for a quadrotor using an LPV sliding mode observer,” in Proceedings of the 9th IFAC Symposium on Safeprocess, France, Paris, 2015, pp. 374–379. K. Chandra, H. Alwi, and C. Edwards, “Fault reconstruction for a quadrotor using an LPV sliding mode observer,” in Proceedings of the 9th IFAC Symposium on Safeprocess, France, Paris, 2015, pp. 374–379.
12.
Zurück zum Zitat K. Zhang, B. Jiang, X. Yan, and Z. Mao, “Sliding mode observer based incipient sensor fault detection with application to high-speed railway traction device,” ISA Trans. 63, 49–59 (2016).CrossRef K. Zhang, B. Jiang, X. Yan, and Z. Mao, “Sliding mode observer based incipient sensor fault detection with application to high-speed railway traction device,” ISA Trans. 63, 49–59 (2016).CrossRef
13.
Zurück zum Zitat A. Zhirabok, A. Zuev, and V. Filaretov, “Fault identification in underwater vehicle thrusters via sliding mode observers,” Int. J. Appl. Math. Comput. Sci. 30, 679–688 (2020).MathSciNetMATH A. Zhirabok, A. Zuev, and V. Filaretov, “Fault identification in underwater vehicle thrusters via sliding mode observers,” Int. J. Appl. Math. Comput. Sci. 30, 679–688 (2020).MathSciNetMATH
14.
Zurück zum Zitat T. Floquet, C. Edwards, and S. Spurgeon, “On sliding mode observers for systems with unknown inputs,” Int. J. Adapt. Contr. Signal Proc. 21, 638–656 (2017).MathSciNetCrossRef T. Floquet, C. Edwards, and S. Spurgeon, “On sliding mode observers for systems with unknown inputs,” Int. J. Adapt. Contr. Signal Proc. 21, 638–656 (2017).MathSciNetCrossRef
15.
Zurück zum Zitat L. Fridman, A. Levant, and J. Davila, “Observation of linear systems with unknown inputs via high-order sliding-modes,” Int. J. Syst. Sci. 38, 773–791 (2007).MathSciNetCrossRef L. Fridman, A. Levant, and J. Davila, “Observation of linear systems with unknown inputs via high-order sliding-modes,” Int. J. Syst. Sci. 38, 773–791 (2007).MathSciNetCrossRef
16.
Zurück zum Zitat S. Tan and S. Edwards, “Robust fault reconstruction using multiple sliding mode observers in cascade: Development and design,” in Proceedings of the American Control Conference, St. Louis, USA, 2009, pp. 3411–3416. S. Tan and S. Edwards, “Robust fault reconstruction using multiple sliding mode observers in cascade: Development and design,” in Proceedings of the American Control Conference, St. Louis, USA, 2009, pp. 3411–3416.
17.
Zurück zum Zitat H. Alwi, C. Edwards, and C. Tan, “Sliding mode estimation schemes for incipient sensor faults,” Automatica 45, 1679–1685 (2009).MathSciNetCrossRef H. Alwi, C. Edwards, and C. Tan, “Sliding mode estimation schemes for incipient sensor faults,” Automatica 45, 1679–1685 (2009).MathSciNetCrossRef
18.
Zurück zum Zitat H. Rios, D. Efimov, J. Davila, T. Raissi, L. Fridman, and A. Zolghadri, “Nonminimum phase switched systems: HOSM based fault detection and fault identification via Volterra integral equation,” Int. J. Adapt. Contr. Signal Proc. 28, 1372–1397 (2014).CrossRef H. Rios, D. Efimov, J. Davila, T. Raissi, L. Fridman, and A. Zolghadri, “Nonminimum phase switched systems: HOSM based fault detection and fault identification via Volterra integral equation,” Int. J. Adapt. Contr. Signal Proc. 28, 1372–1397 (2014).CrossRef
19.
Zurück zum Zitat R. Hmidi, A. Brahim, F. Hmida, and A. Sellami, “Robust fault tolerant control design for nonlinear systems not satisfying matching and minimum phase conditions,” Int. J. Contr., Autom. Syst. 18, 1–14 (2020).CrossRef R. Hmidi, A. Brahim, F. Hmida, and A. Sellami, “Robust fault tolerant control design for nonlinear systems not satisfying matching and minimum phase conditions,” Int. J. Contr., Autom. Syst. 18, 1–14 (2020).CrossRef
20.
Zurück zum Zitat X. Wang, C. Tan, and D. Zhou, “A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions,” Automatica 79, 290–295 (2017).MathSciNetCrossRef X. Wang, C. Tan, and D. Zhou, “A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions,” Automatica 79, 290–295 (2017).MathSciNetCrossRef
21.
Zurück zum Zitat A. N. Zhirabok, A. E. Shumskii, and S. V. Pavlov, “Diagnosis of linear dynamic systems by the nonparametric method,” Autom. Remote Control 78, 1173 (2017).MathSciNetCrossRef A. N. Zhirabok, A. E. Shumskii, and S. V. Pavlov, “Diagnosis of linear dynamic systems by the nonparametric method,” Autom. Remote Control 78, 1173 (2017).MathSciNetCrossRef
Metadaten
Titel
Fault Identification in Nonlinear Systems Based on Sliding Mode Observers with Weakened Existence Conditions
verfasst von
A. N. Zhirabok
A. V. Zuev
V. F. Filaretov
A. E. Shumsky
Publikationsdatum
01.06.2022
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 3/2022
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230722030169

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