Skip to main content

Funnel-Control: Implementierung, Erweiterung und Anwendung

  • Chapter
  • First Online:
Intelligente Verfahren

Zusammenfassung

In Kap. 16 wurden ausführlich Motivation und theoretische Grundlagen der hochverstärkungsbasierten nicht-identifizierenden adaptiven Regelung besprochen, unter anderem wurde einführend Funnel-Control behandelt und an einem schwingungsfähigen nichtlinearen Zwei-Massen-System implementiert.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literaturverzeichnis

  1. Ackermann, J.: Robuste Regelung. Springer-Verlag Berlin Heidelberg New York, 1993.

    Book  Google Scholar 

  2. Cabrera, J.B.D. und K. Furuta: Improving the robustness of Nussbaumtype regulators by the use of σ-modification - Local results. Systems & Control Letters, 12(5):412–429, June 1989.

    Article  Google Scholar 

  3. Fischer, A., W. Schirotzek und K. Vetters: Linear Algebra – Eine Einführung für Ingenieure und Naturwissenschaftler. Mathematik für Ingenieure und Naturwissenschaftler. Vieweg+Teubner, 2003.

    Google Scholar 

  4. Föllinger, O.: Regelungstechnik (7. Auflage). Hüthig Buch Verlag Heidelberg, 1992.

    Google Scholar 

  5. Hackl, C. M., C. Endisch und D. Schröder: Error Reference Control of Nonlinear Two-Mass Flexible Servo Systems. Proceedings of the 16th Mediterranean Conference on Control and Automation, MED 2008 - Ajaccio, France, June 25-27, Seiten 1047–1053, 2008. ISBN: 978-1-4244-2505-1 IEEE Catalog Number: CFP08MED-CDR.

    Google Scholar 

  6. Hackl, C. M., C. Endisch und D. Schröder: Specially Designed Funnel- Control in Mechatronics. to be published in Proceedings of the 5th International Conference on Computational Intelligence, Robotics and Autonomous Systems, CIRAS 2008 - Linz, Austria, June 19-21, 2008.

    Google Scholar 

  7. Hackl, C. M., Y. Ji und D. Schröder: Enhanced Funnel-Control with Improved Performance. Proceedings of the 15th Mediterranean Conference on Control and Automation (Paper T01-016), MED 2007 - Athens, Greek, Jun 27-29, 2007. ISBN: 978-960-254-664-2.

    Google Scholar 

  8. Hackl, C. M., Y. Ji und D. Schröder: Funnel-Control with Constrained Control Input Compensation. Proceedings of the 9th IASTED International Conference CONTROL AND APPLICATIONS, CA 2007, May 30 - June 1, Literaturverzeichnis 821 Montreal, Quebec, Canada, ISBN Hardcopy: 978-0-88986-665-2 / CD: 978-0- 88986-666-9:568–087, 2007.

    Google Scholar 

  9. Hackl, C. M., Y. Ji und D. Schröder: Nonidentifier-based Adaptive Control with Saturated Control Input Compensation. Proceedings of the 15th Mediterranean Conference on Control and Automation (Paper T01-015), MED 2007 - Athens, Greek, Jun 27-29, 2007. ISBN: 978-960-254-664-2.

    Google Scholar 

  10. Hackl, C. M. und D. Schröder: Extension of High-Gain Controllable Systems For Improved Accuracy. Joint CCA, ISIC and CACSD Proceedings 2006, October 4-6, 2006, Munich, Germany (CDROM), Seiten 2231–2236, 2006.

    Google Scholar 

  11. Hackl, C. M. und D. Schröder: Funnel-Control For Nonlinear Multi-Mass Flexible Systems. IECON’06 Proceedings (CDROM), November 7-10, Paris, 2006.

    Google Scholar 

  12. Hackl, C. M. und D. Schröder: Funnel-Control with Online Foresight. Proceedings of the 26th IASTED International Conference MODELLING, IDENTIFICATION AND CONTROL, MIC 2007, February 12 -14, Innsbruck, Seiten 171 – 176, 2007.

    Google Scholar 

  13. Hackl, C. M., H. Schuster, C. Westermaier und D. Schröder: Funnel- Control with Integrating Prefilter for Nonlinear, Time-varying Two-Mass Flexible Servo Systems. The 9th International Workshop on Advanced Motion Control, AMC 2006 - Istanbul, Seiten 456 – 461, March 27-29 2006.

    Google Scholar 

  14. Hackl, Christoph Michael, Christian Endisch und Dierk Schröder: Contributions to non-identifier based adaptive control in mechatronics. Robotics and Autonomous Systems, Elsevier, 57(10):996–1005, October 2009.

    Article  Google Scholar 

  15. Heuser, Harro: Gewöhnliche Differentialgleichungen, Band (6., aktualisierte Auflage). Vieweg+Teubner GWV Fachverlag GmbH, Wiesbaden, 2009.

    MATH  Google Scholar 

  16. Ilchmann, A.: Non-Identifier-Based Adaptive Control of Dynamical Systems: A Survey. IMA Journal of Mathematical Control & Information, 8:321 – 366, 1991.

    Article  MathSciNet  MATH  Google Scholar 

  17. Ilchmann, A. und E. P. Ryan: Asymptotic Tracking With Prescribed Transient Behaviour For Linear Systems. International Journal of Control, 79(8):910–917, May 2006.

    Article  MathSciNet  MATH  Google Scholar 

  18. Ilchmann, A., E. P. Ryan und C. J. Sangwin: Tracking with Prescribed Transient Behaviour. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, SMAI, 2002.

    Google Scholar 

  19. Ilchmann, A., E. P. Ryan und S. Trenn: Tracking Control: Performance Funnels and Prescribed Transient Behaviour. Systems & Control Letters, 54:655 – 670, 2005.

    Article  MathSciNet  MATH  Google Scholar 

  20. Ilchmann, A., E.P. Ryan und P. Townsend: Tracking With Prescribed Transient Behaviour For Nonlinear Systems Of Known Relative Degree. SIAMJournal on Control and Optimization, 46(1):210 – 230, 2007.

    Article  MATH  Google Scholar 

  21. Ilchmann, A. und H. Schuster: PI-funnel control for two mass systems. IEEE Transactions on Automatic Control, 54(4):918–923, April 2009.

    Article  MathSciNet  MATH  Google Scholar 

  22. Isidori, A.: Nonlinear Control Systems. Springer-Verlag, London, 3rd Auflage, 1995.

    Book  MATH  Google Scholar 

  23. Levine, W.S. (Herausgeber): The Control Handbook. CRC Press LLC (with IEEE Press), Boca Raton, Florida, USA, 1. Auflage, April 1996.

    MATH  Google Scholar 

  24. Lunze, J.: Regelungstechnik 1 - Systemtheoretische Grundlagen, Analyse und Entwurf einschleifiger Regelungen (4. erweiterte und überarbeitete Auflage). Springer-Verlag Berlin Heidelberg, 2004.

    MATH  Google Scholar 

  25. Lunze, J.: Regelungstechnik 2 - Mehrgrößensysteme, Digitale Regelung (3. neu bearbeitete Auflage). Springer-Verlag Berlin Heidelberg, 2005.

    Google Scholar 

  26. Reinschke, K.: Lineare Regelungs- und Steuerungstheorie. Springer Berlin Heidelberg New York, 2006.

    Google Scholar 

  27. Schröder, D.: Intelligent Observer and Control Design for Nonlinear Systems. Springer Verlag, Berlin, 2000.

    Book  Google Scholar 

  28. Schröder, D.: Elektrische Antriebe - Grundlagen (3.,erw. Auflage). Springer Verlag, Berlin, 2007.

    Google Scholar 

  29. Schröder, D.: Elektrische Antriebe - Regelung von Antriebssystemen (3., bearb. Auflage). Springer Verlag, Berlin, 2009.

    Google Scholar 

  30. Schuster, H., C.M. Hackl, C. Westermaier und D. Schröder: Funnel- Control for Electrical Drives with Uncertain Parameters. 7th International 828 Literaturverzeichnis Power Engineering Conference - IPEC Proceedings, 2005 Singapore, Proceedings CDROM, Nov. 29 - Dec. 2 2005.

    Google Scholar 

  31. Schuster, H., C. Westermaier und D. Schröder: High-Gain Control of Systems with Arbitrary Relative Degree: Speed Control for a Two Mass Flexible Servo System. Proceedings of the 8th IEEE Int. Conf. on Intelligent Engineering Systems INES, Cluj-Napoca, Romania, Seiten 486 – 491, September 2004.

    Google Scholar 

  32. Walter, W.: Gewöhnliche Differentialgleichungen, Band (7. Auflage). Springer Berlin Heidelberg New York, 2000.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christoph M. Hackl .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hackl, C.M. (2010). Funnel-Control: Implementierung, Erweiterung und Anwendung. In: Intelligente Verfahren. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11398-7_17

Download citation

Publish with us

Policies and ethics