Skip to main content

Passivity Based Control for Lateral Slosh

  • Conference paper
Advances in Computing, Communication, and Control (ICAC3 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 361))

  • 2833 Accesses

Abstract

Liquid sloshing is a problem that affects several industries. This paper presents a passivity based control strategy for slosh control. The lateral sloshing is represented by a simple pendulum and the tank carrying the liquid is approximated to an integrator system. Both the systems are independently passive. We find a feedback such that the closed loop formed on interconnection of the two systems is passive and hence stable. The controller designed is based on the energy balance of the system and is hence independent of the fluid properties.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Slosh Suppression, NASA Space Vehicle Design Criteria (Structures) NASA SP-8031

    Google Scholar 

  2. Venugopal, R., Bernstein, D.S.: State space Modelling and Active Control of Slosh. In: Proc. of 1996 IEEE International Conference on Control Applications, pp. 1072–1077 (September 1996)

    Google Scholar 

  3. Feddema, J., Dohrmann, C., Parker, G., Robinett, R., Romero, V., Schmitt, D.: Robotically Controlled Slosh-free motion of an Open Container of Liquid. In: Proc. of 1996 IEEE International Conference on Robotics and Automation, pp. 596–602 (April 1996)

    Google Scholar 

  4. Yano, K., Terashima, K.: Robust Liquid Transfer Control for Complete Sloshing Suppression. IEEE Trans. on Control Systems Technology 9(3), 483–493 (2001)

    Article  Google Scholar 

  5. Yano, K., Terashima, K.: Sloshing Suppression Control of Liquid Transfer Systems Considering a 3-D Transfer Path. IEEE/ASME Trans. on Mechatronics 10(1), 8–16 (2005)

    Article  Google Scholar 

  6. Grundelius, M., Bernhardsson, B.: Control of Liquid Slosh in an Industrial Packaging Machine. In: Proc. of 1999 IEEE International Conference on Control Applications, pp. 1654–1659 (August 1999)

    Google Scholar 

  7. Tzamtzi, M., Koumboulis, F.: Sloshing Control in Tilting Phases of the Pouring Process. World Academy of Science, Engineering and Technology 34, 307–314 (2007)

    Google Scholar 

  8. Kurode, S., Bandyopadhyay, B., Gandhi, P.: Sliding Mode Control for Slosh-free Motion of a Container using Partial Feedback Linearization. In: IEEE International Workshop on Variable Structure Systems, Antalya, Turkey, pp. 101–107 (June 2008)

    Google Scholar 

  9. Kurode, S., Bandyopadhyay, B., Gandhi, P.: Robust Control for Slosh-free Motions using Sliding Modes. In: 36th Annual Conference on IEEE Industrial Electronics Society, pp. 2408–2413 (November 2010)

    Google Scholar 

  10. Khalil, H.: Nonlinear Systems, 3rd edn. Prentice Hall

    Google Scholar 

  11. Sepulchre, R., Jancović, M., Kokotović, P.: Constructive Nonlinear Control. Springer (1997)

    Google Scholar 

  12. Gogte, G., Venkatesh, C., Kazi, F., Singh, N.M., Pasumarthy, R.: Passivity Based Control of Underactuated 2-D SpiderCrane Manipulator. In: MTNS 2012, Melbourne, Australia (2012)

    Google Scholar 

  13. Ortega, R., Spong, M., Estern, F., Blankenstein, G.: Stabilization of a Class of Underactuated Mechanical Systems Via Interconnection and Damping Assignment. IEEE Transactions on Automatic Control 47(8), 1218–1233 (2002)

    Article  Google Scholar 

  14. Acosta, J., Ortega, R., Astolfi, A., Mahindrakar, A.: Interconnection and Damping Assignment Passivity-Based Control of Mechanical Systems With Underactuation Degree One. IEEE Transactions on Automatic Control 50(12), 1936–(1955)

    Article  MathSciNet  Google Scholar 

  15. Spong, M.: Partial Feedback Linearization of Underactuated Mechanical Systems. In: Proceedings of the IEEE/RSJ/GI International conference on Intelligent Robots and Systems, pp. 314–321 (1994)

    Google Scholar 

  16. Spong, M.: Swing up Control of the Acrobot. In: IEEE International Conference on Robotics and Automation, pp. 2356–2361 (1994)

    Google Scholar 

  17. Ortega, R., Schaft, A., Mareels, I., Maschke, B.: Putting Energy Back in Control. IEEE Control Systems Magazine, 1–16 (February 2001)

    Google Scholar 

  18. Ortega, R., Loriá, A., Nicklasson, P., Sira-Ramirez, H.: Passivity-based Control of Euler-Lagrange Systems: Mechanical. Electrical and Electromechanical Applications

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gogte, G., Venkatesh, C., Tiwari, D., Singh, N.M. (2013). Passivity Based Control for Lateral Slosh. In: Unnikrishnan, S., Surve, S., Bhoir, D. (eds) Advances in Computing, Communication, and Control. ICAC3 2013. Communications in Computer and Information Science, vol 361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36321-4_62

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36321-4_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36320-7

  • Online ISBN: 978-3-642-36321-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics