Skip to main content
Erschienen in:

24.02.2024

\(H_{-} / H_{\infty }\) Fault Detection Observer Design for Switched Singular Systems with Persistent Dwell Time

verfasst von: Yuanyu Zheng, Yanhui Tong, Bixuan Huang, Yueying Wang

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 5/2024

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper deals with the fault detection observer (FDO) design for discrete-time switched singular systems (SSSs) under persistent dwell time (PDT) switching. Compared to the widely used dwell time and average dwell time switching in the literature, PDT switching is more general due to its covering such two switchings as special cases. The PDT switching is firstly employed to establish the admissibility criterion and the \(H_{\infty }\) and \(H_{-}\) observer synthesis conditions for SSSs. Also, an efficient \(H_{-} / H_{\infty }\) FDO design algorithm is proposed. First, the admissibility analysis of the observing error system is addressed by incorporating the PDT technique into the multiple Lyapunov function method, and an admissibility criterion in the form of linear matrix inequality is established. Based on this, two FDO synthesis conditions are then developed to guarantee that the generated residual signal achieves prescribed \(H_{\infty }\) and \(H_{-}\) performance with regard to disturbances and faults, respectively. The FDO should be designed such that the effects of faults and disturbances on the residual signal are maximized and minimized, respectively. To this end, the FDO design is expressed as a multi-objective optimization problem, and the FDO gains are characterized in terms of the solution of the multi-objective optimization problem. Moreover, a suitable trade-off between the robustness to disturbances and the sensitivity to faults is obtained based on a corresponding proposed algorithm. Finally, one illustrative example is given to show the validity of the developed method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

ATZelektronik

Die Fachzeitschrift ATZelektronik bietet für Entwickler und Entscheider in der Automobil- und Zulieferindustrie qualitativ hochwertige und fundierte Informationen aus dem gesamten Spektrum der Pkw- und Nutzfahrzeug-Elektronik. 

Lassen Sie sich jetzt unverbindlich 2 kostenlose Ausgabe zusenden.

ATZelectronics worldwide

ATZlectronics worldwide is up-to-speed on new trends and developments in automotive electronics on a scientific level with a high depth of information. 

Order your 30-days-trial for free and without any commitment.

Weitere Produktempfehlungen anzeigen
Literatur
1.
Zurück zum Zitat K. Beddek, A. Merabet, M. Kesraoui, A.A. Tanvir, R. Beguenane, Signal-based sensor fault detection and isolation for PMSG in wind energy conversion systems. IEEE Trans. Instrum. Meas. 66(9), 2403–2412 (2017)CrossRef K. Beddek, A. Merabet, M. Kesraoui, A.A. Tanvir, R. Beguenane, Signal-based sensor fault detection and isolation for PMSG in wind energy conversion systems. IEEE Trans. Instrum. Meas. 66(9), 2403–2412 (2017)CrossRef
2.
Zurück zum Zitat D. Belkhiat, N. Messai, N. Manamanni, Design of a robust fault detection based observer for linear switched systems with external disturbances. Nonlinear Anal. Hybrid Syst. 5(2), 206–219 (2011)MathSciNetCrossRef D. Belkhiat, N. Messai, N. Manamanni, Design of a robust fault detection based observer for linear switched systems with external disturbances. Nonlinear Anal. Hybrid Syst. 5(2), 206–219 (2011)MathSciNetCrossRef
3.
Zurück zum Zitat O.M. Benitez, R.A. García, A state estimation strategy for a nonlinear switched system with unknown switching signals. Int. J. Control 95(7), 1747–1758 (2022)MathSciNetCrossRef O.M. Benitez, R.A. García, A state estimation strategy for a nonlinear switched system with unknown switching signals. Int. J. Control 95(7), 1747–1758 (2022)MathSciNetCrossRef
4.
Zurück zum Zitat M. Chadli, A. Abdo, S.X. Ding, \({H}_{-} / {H}_{\infty }\) fault detection filter design for discrete-time Takagi–Sugeno fuzzy system. Automatica 49(7), 1996–2005 (2013)MathSciNetCrossRef M. Chadli, A. Abdo, S.X. Ding, \({H}_{-} / {H}_{\infty }\) fault detection filter design for discrete-time Takagi–Sugeno fuzzy system. Automatica 49(7), 1996–2005 (2013)MathSciNetCrossRef
5.
Zurück zum Zitat M. Chadli, M. Darouach, Robust admissibility of uncertain switched singular systems. Int. J. Control 84(10), 1587–1600 (2011)MathSciNetCrossRef M. Chadli, M. Darouach, Robust admissibility of uncertain switched singular systems. Int. J. Control 84(10), 1587–1600 (2011)MathSciNetCrossRef
6.
Zurück zum Zitat M. Charqi, N. Chaibi, E. Houssaine Tissir, \({H}_{\infty }\) filtering of discrete-time switched singular systems with time-varying delays. Int. J. Adapt. Control Signal Process. 34(4), 444–468 (2020)MathSciNetCrossRef M. Charqi, N. Chaibi, E. Houssaine Tissir, \({H}_{\infty }\) filtering of discrete-time switched singular systems with time-varying delays. Int. J. Adapt. Control Signal Process. 34(4), 444–468 (2020)MathSciNetCrossRef
7.
Zurück zum Zitat Z. Gao, Z. Wang, Z. Ji, Y. Liu, Output strictly passive \({H}_{\infty }\) control of discrete-time linear switched singular systems via proportional plus derivative state feedback. Circuits Syst. Signal Process. 39(8), 3907–3924 (2020)CrossRef Z. Gao, Z. Wang, Z. Ji, Y. Liu, Output strictly passive \({H}_{\infty }\) control of discrete-time linear switched singular systems via proportional plus derivative state feedback. Circuits Syst. Signal Process. 39(8), 3907–3924 (2020)CrossRef
8.
Zurück zum Zitat X. Guo, Z. Liu, Adaptive sliding mode control design of uncertain switched systems with actuator faults. Circuits Syst. Signal Process. 1–22 (2022) X. Guo, Z. Liu, Adaptive sliding mode control design of uncertain switched systems with actuator faults. Circuits Syst. Signal Process. 1–22 (2022)
9.
Zurück zum Zitat Y. Han, Y. Kao, J.H. Park, Robust \({H}_{\infty }\) nonfragile observer-based control of switched discrete singular systems with time-varying delays: a sliding mode control design. Int. J. Robust Nonlinear Control 29(5), 1462–1483 (2019)MathSciNetCrossRef Y. Han, Y. Kao, J.H. Park, Robust \({H}_{\infty }\) nonfragile observer-based control of switched discrete singular systems with time-varying delays: a sliding mode control design. Int. J. Robust Nonlinear Control 29(5), 1462–1483 (2019)MathSciNetCrossRef
10.
Zurück zum Zitat J.P. Hespanha, Uniform stability of switched linear systems: extensions of LaSalle’s invariance principle. IEEE Trans. Autom. Control 49(4), 470–482 (2004)MathSciNetCrossRef J.P. Hespanha, Uniform stability of switched linear systems: extensions of LaSalle’s invariance principle. IEEE Trans. Autom. Control 49(4), 470–482 (2004)MathSciNetCrossRef
11.
Zurück zum Zitat R. Isermann, Model-based fault-detection and diagnosis-status and applications. Annu. Rev. Control. 29(1), 71–85 (2005)CrossRef R. Isermann, Model-based fault-detection and diagnosis-status and applications. Annu. Rev. Control. 29(1), 71–85 (2005)CrossRef
12.
Zurück zum Zitat B. Jiang, Q. Shen, P. Shi, Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica 61, 119–125 (2015)MathSciNetCrossRef B. Jiang, Q. Shen, P. Shi, Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica 61, 119–125 (2015)MathSciNetCrossRef
13.
Zurück zum Zitat J. Lin, S. Fei, Z. Gao, J. Ding, Fault detection for discrete-time switched singular time-delay systems: an average dwell time approach. Int. J. Adapt. Control Signal Process. 27(7), 582–609 (2013)MathSciNetCrossRef J. Lin, S. Fei, Z. Gao, J. Ding, Fault detection for discrete-time switched singular time-delay systems: an average dwell time approach. Int. J. Adapt. Control Signal Process. 27(7), 582–609 (2013)MathSciNetCrossRef
14.
Zurück zum Zitat J. Lin, Z. Gao, Observers design for switched discrete-time singular time-delay systems with unknown inputs. Nonlinear Anal. Hybrid Syst. 18, 85–99 (2015)MathSciNetCrossRef J. Lin, Z. Gao, Observers design for switched discrete-time singular time-delay systems with unknown inputs. Nonlinear Anal. Hybrid Syst. 18, 85–99 (2015)MathSciNetCrossRef
15.
Zurück zum Zitat X. Liu, H. Zhang, J. Liu, J. Yang, Fault detection and diagnosis of permanent-magnet DC motor based on parameter estimation and neural network. IEEE Trans. Ind. Electron. 47(5), 1021–1030 (2000)CrossRef X. Liu, H. Zhang, J. Liu, J. Yang, Fault detection and diagnosis of permanent-magnet DC motor based on parameter estimation and neural network. IEEE Trans. Ind. Electron. 47(5), 1021–1030 (2000)CrossRef
16.
Zurück zum Zitat X. Liu, X. Su, P. Shi, S.K. Nguang, C. Shen, Fault detection filtering for nonlinear switched systems via event-triggered communication approach. Automatica 101, 365–376 (2019)MathSciNetCrossRef X. Liu, X. Su, P. Shi, S.K. Nguang, C. Shen, Fault detection filtering for nonlinear switched systems via event-triggered communication approach. Automatica 101, 365–376 (2019)MathSciNetCrossRef
17.
Zurück zum Zitat N. Messai, P. Thomas, D. Lefebvre, B. Riera, Fault detection for HDS by means of neural networks: application to two tanks hydraulic system. IFAC Proc. Vol. 39(13), 980–985 (2006)CrossRef N. Messai, P. Thomas, D. Lefebvre, B. Riera, Fault detection for HDS by means of neural networks: application to two tanks hydraulic system. IFAC Proc. Vol. 39(13), 980–985 (2006)CrossRef
18.
Zurück zum Zitat H. Pang, S. Tan, S. Liu, Output feedback passification for switched discrete-time nonlinear systems and adaptive control system design. Int. J. Control Autom. Syst. 20(6), 1914–1925 (2022)CrossRef H. Pang, S. Tan, S. Liu, Output feedback passification for switched discrete-time nonlinear systems and adaptive control system design. Int. J. Control Autom. Syst. 20(6), 1914–1925 (2022)CrossRef
19.
Zurück zum Zitat Q. Shen, B. Jiang, V. Cocquempot, Adaptive fuzzy observer-based active fault-tolerant dynamic surface control for a class of nonlinear systems with actuator faults. IEEE Trans. Fuzzy Syst. 22(2), 338–349 (2013)CrossRef Q. Shen, B. Jiang, V. Cocquempot, Adaptive fuzzy observer-based active fault-tolerant dynamic surface control for a class of nonlinear systems with actuator faults. IEEE Trans. Fuzzy Syst. 22(2), 338–349 (2013)CrossRef
20.
Zurück zum Zitat S. Shi, Z. Shi, Z. Fei, Z. Liu, Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time. J. Frankl. Inst. 355(13), 5560–5575 (2018)MathSciNetCrossRef S. Shi, Z. Shi, Z. Fei, Z. Liu, Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time. J. Frankl. Inst. 355(13), 5560–5575 (2018)MathSciNetCrossRef
21.
Zurück zum Zitat Q. Su, Z. Fan, D. Zhang, J. Li, Finite-time fault detection filtering for switched singular systems with all modes unstable: an ADT approach. Int. J. Control Autom. Syst. 17, 2026–2036 (2019)CrossRef Q. Su, Z. Fan, D. Zhang, J. Li, Finite-time fault detection filtering for switched singular systems with all modes unstable: an ADT approach. Int. J. Control Autom. Syst. 17, 2026–2036 (2019)CrossRef
22.
Zurück zum Zitat Y. Tong, W. Sun, X. Li, Discretized quasi-time-dependent control for continuous-time switched linear systems with persistent dwell-time. Int. J. Robust Nonlinear Control 31(8), 3195–3211 (2021)MathSciNetCrossRef Y. Tong, W. Sun, X. Li, Discretized quasi-time-dependent control for continuous-time switched linear systems with persistent dwell-time. Int. J. Robust Nonlinear Control 31(8), 3195–3211 (2021)MathSciNetCrossRef
23.
Zurück zum Zitat J. Wang, X. Wang, Asynchronous \({H}_{\infty }\) control of uncertain switched singular systems with time-varying delays. Circuits Syst. Signal Process. 40(8), 3756–3781 (2021)CrossRef J. Wang, X. Wang, Asynchronous \({H}_{\infty }\) control of uncertain switched singular systems with time-varying delays. Circuits Syst. Signal Process. 40(8), 3756–3781 (2021)CrossRef
24.
Zurück zum Zitat X. Wang, J. Zhao, Feedback stabilization of switched linear systems: a quantization and triggering joint event-triggered mechanism. IEEE Trans. Circuits Syst. I Regul. Pap. 69(6), 2579–2588 (2022)CrossRef X. Wang, J. Zhao, Feedback stabilization of switched linear systems: a quantization and triggering joint event-triggered mechanism. IEEE Trans. Circuits Syst. I Regul. Pap. 69(6), 2579–2588 (2022)CrossRef
25.
Zurück zum Zitat Z. Wang, P. Shi, C.C. Lim, \({H}_{-} / {H}_{\infty }\) fault detection observer in finite frequency domain for linear parameter-varying descriptor systems. Automatica 86, 38–45 (2017)MathSciNetCrossRef Z. Wang, P. Shi, C.C. Lim, \({H}_{-} / {H}_{\infty }\) fault detection observer in finite frequency domain for linear parameter-varying descriptor systems. Automatica 86, 38–45 (2017)MathSciNetCrossRef
26.
Zurück zum Zitat J. Wei, H. Zhi, X. Mu, New stability conditions of linear switched singular systems by using multiple discontinuous lyapunov function approach. Int. J. Control Autom. Syst. 17(12), 3122–3130 (2019)CrossRef J. Wei, H. Zhi, X. Mu, New stability conditions of linear switched singular systems by using multiple discontinuous lyapunov function approach. Int. J. Control Autom. Syst. 17(12), 3122–3130 (2019)CrossRef
27.
Zurück zum Zitat J. Yang, G. Chen, S. Zhu, S. Wen, J. Hu, Fixed/prescribed-time synchronization of bam memristive neural networks with time-varying delays via convex analysis. Neural Netw. 163, 53–63 (2023)CrossRef J. Yang, G. Chen, S. Zhu, S. Wen, J. Hu, Fixed/prescribed-time synchronization of bam memristive neural networks with time-varying delays via convex analysis. Neural Netw. 163, 53–63 (2023)CrossRef
28.
Zurück zum Zitat Q. Yu, H. Lv, Stability analysis for discrete-time switched systems with stable and unstable modes based on a weighted average dwell time approach. Nonlinear Anal. Hybrid Syst. 38, 100949 (2020)MathSciNetCrossRef Q. Yu, H. Lv, Stability analysis for discrete-time switched systems with stable and unstable modes based on a weighted average dwell time approach. Nonlinear Anal. Hybrid Syst. 38, 100949 (2020)MathSciNetCrossRef
29.
Zurück zum Zitat D. Zhai, A. Lu, J. Li, Q. Zhang, Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain. Int. J. Syst. Sci. 47(13), 3232–3257 (2016)MathSciNetCrossRef D. Zhai, A. Lu, J. Li, Q. Zhang, Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain. Int. J. Syst. Sci. 47(13), 3232–3257 (2016)MathSciNetCrossRef
30.
Zurück zum Zitat L. Zhang, S. Zhuang, P. Shi, Non-weighted quasi-time-dependent \({H}_{\infty }\) filtering for switched linear systems with persistent dwell-time. Automatica 54, 201–209 (2015)MathSciNetCrossRef L. Zhang, S. Zhuang, P. Shi, Non-weighted quasi-time-dependent \({H}_{\infty }\) filtering for switched linear systems with persistent dwell-time. Automatica 54, 201–209 (2015)MathSciNetCrossRef
31.
Zurück zum Zitat Q. Zheng, H. Zhang, \({H}_{\infty }\) filtering for a class of nonlinear switched systems with stable and unstable subsystems. Signal Process. 141, 240–248 (2017)CrossRef Q. Zheng, H. Zhang, \({H}_{\infty }\) filtering for a class of nonlinear switched systems with stable and unstable subsystems. Signal Process. 141, 240–248 (2017)CrossRef
32.
Zurück zum Zitat G. Zhong, G. Yang, Fault detection for discrete-time switched systems in finite-frequency domain. Circuits Syst. Signal Process. 34, 1305–1324 (2015)MathSciNetCrossRef G. Zhong, G. Yang, Fault detection for discrete-time switched systems in finite-frequency domain. Circuits Syst. Signal Process. 34, 1305–1324 (2015)MathSciNetCrossRef
33.
Zurück zum Zitat X. Zhou, G. Chen, S. Zhu, S. Wen, Distributed event-triggered finite-time \({H}_{\infty }\) filtering for switched systems on sensor networks with two-channel network attacks and asynchronous modes. Appl. Math. Comput. 458, 128231 (2023)MathSciNet X. Zhou, G. Chen, S. Zhu, S. Wen, Distributed event-triggered finite-time \({H}_{\infty }\) filtering for switched systems on sensor networks with two-channel network attacks and asynchronous modes. Appl. Math. Comput. 458, 128231 (2023)MathSciNet
Metadaten
Titel
Fault Detection Observer Design for Switched Singular Systems with Persistent Dwell Time
verfasst von
Yuanyu Zheng
Yanhui Tong
Bixuan Huang
Yueying Wang
Publikationsdatum
24.02.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 5/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02612-6