Skip to main content

Selection of Positive Position Feedback Controllers for Damping and Precision Positioning Applications

  • Conference paper
  • First Online:
Book cover Modeling, Design and Simulation of Systems (AsiaSim 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 751))

Included in the following conference series:

Abstract

Positive Position Feedback (PPF) is a widely used control technique for damping the lightly damped resonant modes of various dynamic systems. Though PPF controller is easy to implement any rigorous mathematical optimization is not possible due to the controller structure. Therefore, almost all PPF designs reported in literature use a trial-and-error approach to push the closed-loop system poles adequately into the left-half plane to achieve adequate damping. In this paper, a full parametric study of the PPF controller based on the closed-loop DC gain vs achievable damping relationship is carried out. It is shown that the PPF controller best suited to only damp the resonance is not the best if both damping and tracking control is required (as is the case in most precision positioning systems). This leads to a more systematic and goal-oriented selection of appropriate PPF controller for specific applications, hitherto unreported in literature. Experiments performed on a piezoelectric-stack actuated nanopositioning platform are presented to support this conclusion.

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 EPUB and 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

References

  1. Goh, C.J., Caughey, T.K.: On the stability problem caused by finite actuator dynamics in the control of large space structures. Int. J. Control 41(3), 787–802 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fanson, J.L., Caughey, T.K.: Positive position feedback control for large space structures. AIAA J. 28(4), 717–724 (1990)

    Article  Google Scholar 

  3. Poh, S., Baz, A.: Active control of a flexible structure using a modal positive position feedback controller. J. Intell. Mater. Syst. Struct. 1(3), 273–288 (1990)

    Article  Google Scholar 

  4. Friswell, M.I., Inman, D.J.: The relationship between positive position feedback and output feedback controllers. Smart Mater. Struct. 8(3), 285–291 (1999)

    Article  Google Scholar 

  5. Rew, K.H., Han, J.H., Lee, I.: Multi-modal vibration control using adaptive positive position feedback. J. Intell. Mater. Syst. Struct. 13(1), 13–22 (2002)

    Article  Google Scholar 

  6. Petersen, I.R., Lanzon, A.: Feedback control of negative-imaginary systems. IEEE Trans. Control Syst. 30(5), 54–72 (2010)

    Article  Google Scholar 

  7. Aphale, S.S., Bhikkaji, B., Moheimani, S.O.R.: Minimizing scanning errors in piezoelectric stack-actuated nanopositioning platforms. IEEE Trans. Nanotechnol. 7(1), 79–90 (2008)

    Article  Google Scholar 

  8. Russell, D., San-Millan, A., Feliu, V., Aphale, S.S.: Butterworth pattern-based simultaneous damping and tracking controller designs for nanopositioning system. In: European Control Conference (ECC), Linz, vol. 2, No. 2, pp. 1088–1093 (2015)

    Google Scholar 

  9. Ratnam, M., Bhikkaji, B., Fleming, A.J., Moheimani, S.O.R.: PPF control of a piezoelectric tube scanner. In: Proceedings 44th IEEE Conference on Decision and Control, pp. 1168–1173 (2005)

    Google Scholar 

  10. Junkins, J.L., Kim, Y.: Introduction to Dynamics and Control of Flexible Structures. American Institute of Aeronautics and Astronautics, Reston (2000)

    MATH  Google Scholar 

  11. Namavar, M., Fleming, A.J., Aleyaasin, M., Nakkeeran, K., Aphale, S.S.: An analytical approach to integral resonant control of second-order systems. IEEE/ASME Trans. Mechatron. 19(2), 651–659 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rahul J. Moon .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Moon, R.J., San-Millan, A., Aleyaasin, M., Feliu, V., Aphale, S.S. (2017). Selection of Positive Position Feedback Controllers for Damping and Precision Positioning Applications. In: Mohamed Ali, M., Wahid, H., Mohd Subha, N., Sahlan, S., Md. Yunus, M., Wahap, A. (eds) Modeling, Design and Simulation of Systems. AsiaSim 2017. Communications in Computer and Information Science, vol 751. Springer, Singapore. https://doi.org/10.1007/978-981-10-6463-0_25

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-6463-0_25

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6462-3

  • Online ISBN: 978-981-10-6463-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics