Skip to main content

Modelling, Simulation and Control of a Heavy Chain System

  • Conference paper
Computer Aided Systems Theory – EUROCAST 2011 (EUROCAST 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6928))

Included in the following conference series:

Abstract

This contribution deals with the modelling, simulation and control of a particular heavy chain laboratory system which consists of a pivoted disc connected to a chain. First, the Hamilton principle is applied to obtain the governing mathematical equations in form of (nonlinear) partial differential equations (with boundary conditions) and ordinary differential equations. The control law is derived by using the concept of passivity in combination with the backstepping method. Moreover, simulation and measurement results are provided.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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.

References

  1. D’Andrea-Novel, B., Coron, J.M.: Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Automatica 36, 587–593 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Krstic, M., Kanellakopoulos, I., Kokotovic, P.: Nonlinear and Adaptive Control Design. John Wiley & Sons, New York (1995)

    MATH  Google Scholar 

  3. Meirovich, L.: Principles and Techniques in Vibrations. Prentice Hall, London (1997)

    Google Scholar 

  4. Morgül, Ö.: Stabilization and Disturbance Rejection of the wave equation. IEEE Transactions on Automatic Control 43(1), 89–95 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Thull, D.: Tracking Control of Mechanical Distributed Parameter Systems with Applications. Shaker, Aachen (2010)

    Google Scholar 

  6. Van der Schaft, A.J.: L2-Gain and Passivity Techniques in Nonlinear Control. Springer, London (2000)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Roberto Moreno-Díaz Franz Pichler Alexis Quesada-Arencibia

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ludwig, P., Rieger, K., Schlacher, K. (2012). Modelling, Simulation and Control of a Heavy Chain System. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2011. EUROCAST 2011. Lecture Notes in Computer Science, vol 6928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27579-1_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27579-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27578-4

  • Online ISBN: 978-3-642-27579-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics