SpringerLink
Log in

Control of a Ball and Beam System

  • Chapter
  • First Online:
Automatic Control with Experiments

Part of the book series: Advanced Textbooks in Control and Signal Processing ((C&SP))

  • 61 Accesses

Abstract

Consider the situation represented in Fig. 10.1. It is a ball that rolls inside a channel on a beam. The beam angle is modified by a PM brushed DC motor and this produces the ball movement by the effect of gravity.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Notice that this model can also be expressed in terms of z: just replace \(\ddot{z}=\ddot{x}\).

  2. 2.

    In all of the experiments that are presented in the remaining of this chapter, the ball position x is measured from the left end of the beam.

  3. 3.

    See Sect. 4.4 for instructions on how these simulations can be performed.

References

  1. Quanser Inc. 119 Spy Court Markham, Ontario L3R 5H6, Canada. http://www.quanser.com

  2. Kokotovic PV (1992) The joy of feedback: nonlinear and adaptive (1991 Bode prize lecture), IEEE control systems magazine, pp 7–17

    Google Scholar 

  3. Hibbeler RC (2004) Engineering mechanics dynamics, 10th edn. Prentice Hall, Upper Saddle River, NJ

    Google Scholar 

  4. Alonso M, Finn EJ (1992) Physics. Addison-Wesley, Reading, Mass

    Google Scholar 

  5. Borland C++Builder 6 Language guide (2002)

    Google Scholar 

  6. PIC16F877A Enhanced Flash Microcontroller, Data sheet, Microchip Technology Inc.

    Google Scholar 

  7. Custom Computer Services Incorporated, CCS C Compiler reference manual (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universidad Autonoma de Queretaro, Facultad de Ingenieria, Querétaro, Querétaro, Mexico

    Victor Manuel Hernández-Guzmán

  2. CIDETEC, Instituto Politécnico Nacional, Mexico City, Mexico

    Ramón Silva-Ortigoza

  3. Tecnológico Nacional de México-Instituto Tecnológico Superior de Lerdo, Lerdo, Durango, Mexico

    Jorge Alberto Orrante-Sakanassi

Authors
  1. Victor Manuel Hernández-Guzmán
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ramón Silva-Ortigoza
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jorge Alberto Orrante-Sakanassi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Victor Manuel Hernández-Guzmán .

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Hernández-Guzmán, V.M., Silva-Ortigoza, R., Orrante-Sakanassi, J.A. (2024). Control of a Ball and Beam System. In: Automatic Control with Experiments. Advanced Textbooks in Control and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-031-55960-0_10

Download citation

Publish with us

Policies and ethics

Search

Navigation