Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Lyapunov-Based Design of Homogeneous High-Order Sliding Modes Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

8. Variable Structure Observers for Nonlinear Interconnected Systems

verfasst von : Mokhtar Mohamed, Xing-Gang Yan, Sarah K. Spurgeon, Zehui Mao

Erschienen in: Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications

Verlag: Springer International Publishing

Einloggen

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

search-config
loading …

Abstract

In this chapter, a variable structure observer is designed for a class of nonlinear large-scale interconnected systems in the presence of uncertainties and nonlinear interconnections. The modern geometric approach is used to explore system structure and a transformation is employed to facilitate the observer design. Based on the Lyapunov direct method, a set of conditions are developed such that the proposed variable structure systems can be used to estimate the states of the original interconnected systems asymptotically. The internal dynamical structure of the isolated nominal subsystems as well as the structure of the uncertainties are employed to reduce conservatism. The bounds on the uncertainties are nonlinear and are employed in the observer design to enhance robustness. A numerical example is presented to illustrate the results and simulation studies show that the proposed approach is effective.

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!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Indirect Adaptive Sliding-Mode Control Using the Certainty-Equivalence Principle
Nächstes Kapitel A Unified Lyapunov Function for Finite Time Stabilization of Continuous and Variable Structure Systems with Resets
Literatur
1.
Aldeen, M.: Class of stabilising decentralised controllers for interconnected dynamical systems. IEE Proc. D-Contr. Theory App. 139(2), 125–134 (1992)CrossRefMATH
2.
Aoki, M.: Control of large-scale dynamic systems by aggregation. IEEE Trans. Autom. Control 13(3), 246–253 (1968)CrossRef
3.
Aoki, M., Li, M.: Partial reconstruction of state vectors in decentralized dynamic systems. IEEE Trans. Autom. Control 18(3), 289–292 (1973)MathSciNetCrossRefMATH
4.
5.
Chen, B.M.: Robust and \(H_{\infty }\) control Series. Communication and control engineering. Springer, Berlin (2000)MATH
6.
Dashkovskiy, S., Naujok, L.: Quasi-ISS/ISDS observers for interconnected systems and applications. Syst. Control Lett. 77, 11–21 (2015)
7.
Diao, Z.F., Yan, X.G.: Robust observer design for a class of nonlinear systems using the system internal dynamics structure. J. Optim. Theory Appl. 138(2), 175–187 (2008)MathSciNetCrossRefMATH
8.
Edwards, C., Spurgeon, S.: Sliding Mode Control: Theory and Applications. CRC Press, USA (1998)MATH
9.
Edwards, C., Yan, X.G., Spurgeon, S.K.: On the solvability of the constrained Lyapunov problem. IEEE Trans. Autom. Control 52(10), 1982–1987 (2007)MathSciNetCrossRefMATH
10.
Galimidi, A., Barmish, B.: The constrained Lyapunov problem and its application to robust output feedback stabilization. IEEE Trans. Autom. Control 31(5), 410–419 (1986)MathSciNetCrossRefMATH
11.
Gavel, D.T., Siljak, D.D.: Decentralized adaptive control: structural conditions for stability. IEEE Trans. Autom. Control 34(4), 413–426 (1989)MathSciNetCrossRefMATH
12.
Ghadami, R. Shafai, B.: Decentralized PI observer-based control of nonlinear interconnected systems with disturbance attenuation. In: Proceedings of American Control Conference, San Francisco, CA, USA. IEEE, pp. 4705–4710 (2011)
13.
Hassan, K.K.: Nonlinear Systems. Prentice Hall, USA (2002)MATH
14.
Hua, C., Li, Y., Wang, H., Guan, X.: Decentralised fault-tolerant finite-time control for a class of interconnected nonlinear systems. IET Contr. Theory App. 9(16), 2331–2339 (2015)CrossRef
15.
16.
Keliris, C., Polycarpou, M.M., Parisini, T.: A robust nonlinear observer-based approach for distributed fault detection of input-output interconnected systems. Autom. 53, 408–415 (2015)MathSciNetCrossRefMATH
17.
Krstic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)MATH
18.
Li, F., Wu, L., Shi, P., Lim, C.C.: State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties. Autom. 51, 385–393 (2015)MathSciNetCrossRefMATH
19.
Lim, Y.H., Ahn, H.S.: Decentralized control of nonlinear interconnected systems under both amplitude and rate saturations. Autom. 49(8), 2551–2555 (2013)MathSciNetCrossRefMATH
20.
Luenberger, D.G.: Observing the state of a linear system. IEEE Trans. on Mil. Elect. 8(2), 74–80 (1964)CrossRef
21.
Lunze, J.: Feedback Control of Large Scale Systems. Prentice Hall PTR, USA (1992)MATH
22.
Mahmoud, M.S.: Decentralized Systems with Design Constraints, pp. 129–151. Springer, Berlin (2011)CrossRefMATH
23.
Mahmoud, M.S.: Decentralized state-estimation of interconnected systems with unknown nonlinearities. J. Opt. Theory App. 152(3), 786–798 (2012)MathSciNetCrossRefMATH
24.
Modarres, A.A., Momeni, H., Yazdizadeh, A.: A new decentralized sliding mode observer design for interconnected power systems with unknown and time-varying delay. In: Proceeding of the 4th Conference on Thermal Power Plants, pp. 1–6 (2012)
25.
Reppa, V., Polycarpou, M.M., Panayiotou, C.G.: Decentralized isolation of multiple sensor faults in large-scale interconnected nonlinear systems. IEEE Trans. Autom. Control 60(6), 1582–1596 (2014)MathSciNetCrossRefMATH
26.
Saksena, V., Cruz, J.: An approach to decentralized control of large scale systems using aggregation methods. IEEE Trans. Autom. Control 30(9), 912–914 (1985)MathSciNetCrossRefMATH
27.
Sandell, N., Varaiya, P., Athans, M., Safonov, M.: Survey of decentralized control methods for large scale systems. IEEE Trans. Autom. Control 23(2), 108–128 (1978)MathSciNetCrossRefMATH
28.
Sastry, S., Bodson, M.: Adaptive Control: Stability. Convergence and robustness. Prentic-Hall, New Jersey (1994)MATH
29.
Sharma, R., Aldeen, M.: Fault and disturbance reconstruction in non-linear systems using a network of interconnected sliding mode observers. IET Control Theory Appl. 5(6), 751–763 (2011)MathSciNetCrossRef
30.
Shtessel, Y., Edwards, C., Fridman, L., Levant, A.: Sliding Mode Control and Observation. Springer, New York (2014)CrossRef
31.
Siljak, D., Vukcevic, M.: Decentralization, stabilization, and estimation of large-scale linear systems. IEEE Trans. Autom. Control 21(3), 363–366 (1976)MathSciNetCrossRefMATH
32.
33.
Sundareshan, M.K. Decentralized observation in large-scale systems. In: Proceedings in Decision and Control including the 15th Symposium on Adaptive Processes, 1976 IEEE Conference, pp. 659–664 (1976)
34.
Sundareshan, M.K., Elbanna, R.M.: Design of decentralized observation schemes for large-scale interconnected systems: Some new results. Autom. 26(4), 789–796 (1990)MathSciNetCrossRefMATH
35.
Swarnakar, A., Marquez, H.J., Chen, T.: A new scheme on robust observer based control design for nonlinear interconnected systems with application to an industrial utility boiler. In: Proceedings of the American Control Conference, IEEE, New York City, USA, pp. 5601-5606 (2007)
36.
Vadim, I.U.: Survey paper variable structure systems with sliding modes. IEEE Trans. Autom. Control 22(2), 212–222 (1977)CrossRefMATH
37.
Utkin, V., Guldner, J., Shi, J.: Sliding Mode Control in Electro-Mechanical Systems. CRC press, USA (2009)CrossRef
38.
Wang, Y., Fei, J.: Adaptive fuzzy sliding mode control for PMSM position regulation system. Int. J. Innov. Comput. Inf. Control. 11(3), 881–891 (2015)
39.
Wu, H.: Decentralized adaptive robust state feedback for uncertain large-scale interconnected systems with time delays. J. Optim. Theory Appl. 126(2), 439–462 (2005)MathSciNetCrossRefMATH
40.
Wu, H.: Adaptive robust state observers for a class of uncertain nonlinear dynamical systems with delayed state perturbations. IEEE Trans. Autom. Control 54(6), 1407–1412 (2009)MathSciNetCrossRefMATH
41.
Xia, X.H., Gao, W.B.: Nonlinear observer design by observer error linearization. SIAM J. Control Optim. 27(1), 199–216 (1989)MathSciNetCrossRefMATH
42.
Yan, X.G., Lam, J., Xie, L.: Robust observer design for non-linear interconnected systems using structural characteristics. Int. J. Control 76(7), 741–746 (2003)MathSciNetCrossRefMATH
43.
Yan, X.G., Edwards, C.: Robust decentralized actuator fault detection and estimation for large-scale systems using a sliding mode observer. Int. J. Control 81(4), 591–606 (2008)MathSciNetCrossRefMATH
44.
Yan, X.G., Lam, J., Dai, G.: Decentralized robust control for nonlinear large-scale systems with similarity. Comput. Elect. Eng. 25(3), 169–179 (1999)CrossRef
45.
Yan, X.G., Spurgeon, S.K., Edwards, C.: Decentralized output feedback sliding mode control of nonlinear large-scale systems with uncertainties. J. Optim. Theory Appl. 119(3), 597–614 (2003)MathSciNetCrossRefMATH
46.
Yan, X.G., Spurgeon, S.K., Edwards, C.: Decentralised stabilisation for nonlinear time delay interconnected systems using static output feedback. Autom. 49(2), 633–641 (2013)MathSciNetCrossRefMATH
47.
Yan, X.G., Spurgeon, S.K., Edwards, C.: State and parameter estimation for nonlinear delay systems using sliding mode techniques. IEEE Trans. Autom. Control 58(4), 1023–1029 (2013)MathSciNetCrossRef
48.
Yan, X.G., Spurgeon, S.K., Edwards, C.: Memoryless static output feedback sliding mode control for nonlinear systems with delayed disturbances. IEEE Trans. Autom. Control 59(7), 1906–1912 (2014)MathSciNetCrossRefMATH
49.
Yan, X.G., Spurgeon, S.K., Edwards, C.: Variable Structure Control of Complex Systems: Analysis and Design. Springer, Berlin (2017)CrossRefMATH
50.
Yang, G.H., Zhang, S.Y.: Decentralized control of a class of large-scale systems with symmetrically interconnected subsystems. IEEE Trans. Autom. Control 41(5), 710–713 (1996)MathSciNetCrossRefMATH
51.
52.
Zhang, C., Li, H.: A generalized robust decentralized control methodology for a class of interconnected nonlinear systems subject to uncertainties and disturbances. Nonlinear Anal. Hybrid Syst. 22, 55–71 (2016)MathSciNetCrossRefMATH
53.
Zhao, G., Zhao, C., Cheng, J.: Decoupled Terminal Sliding-Mode Control for a Class of Under-Actuated Mechanical Systems With Hybrid Sliding Surfaces. Int. J. Innov. Comput Inf. Control. 10(6), 2011–2023 (2014)
Metadaten
Titel
Variable Structure Observers for Nonlinear Interconnected Systems
verfasst von
Mokhtar Mohamed
Xing-Gang Yan
Sarah K. Spurgeon
Zehui Mao
Copyright-Jahr
2018
Buch
Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications

Print ISBN: 978-3-319-62895-0

Electronic ISBN: 978-3-319-62896-7

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-62896-7_8

Neuer Inhalt

    Bildnachweise