Skip to main content

Adaptive Control Algorithm Improving the Stability of Micro Force Measurement System

  • Conference paper
  • First Online:
Book cover The Proceedings of the Second International Conference on Communications, Signal Processing, and Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 246))

Abstract

Based on the electrostatics principle, the measurement and realization of micro forces in the order of 10-6 N to 10-4 N (the resolution is 10-8 N) can be realized and it can be traced back to the SI such as length, voltage, capacitance, etc. Because the stiffness and damping ratio of the system are very small, both the external interference and the parameter variation would make the system unstable so that it is hardly to make the system get optimal by using the traditional PID control algorithm. This dissertation introduces an adaptive control algorithm based on minimum variance. Adjust the parameter values of the controller continuously to make the transient response and the output of the control object get optimal when the measurement system working. The system performance is tested by measuring standard weights of 5, 10 and 20 mg. The result shows that it can not only speed up the convergence but also reduce residual vibration, decreasing variance to 0.01 μm.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Newell DB, Kramar JA, Pratt JR, Smith DT, Williams ER (2003) The NIST microforce realization and measurement project. IEEE Trans Instrum Meas 52(2):508–511. doi:10.1109/tim.2003.810032

    Article  Google Scholar 

  2. Fujii Y (2007) Method of generating and measuring static small force using down-slope component of gravity. Rev Sci Instrum 78(6):066104. doi:10.1063/1.2746823

    Article  Google Scholar 

  3. Pratt JR, Newell DB, Kramar JA, Mulholland J, Whitenton E (2003) Probe-force calibration experiments using the NIST electrostatic force balance. Proceedings of American Society for Precision Engineering, Winter Topical Meeting, University of Florida, vol 9(61), pp 161–5

    Google Scholar 

  4. Sendjaja AY, Kariwala V (2009) Achievable PID performance using sums of squares programming. J Process Control 19(6):1061–1065. doi:10.1016/j.jprocont.2008.12.005

    Article  Google Scholar 

  5. Harris TJ (1989) Assessment of control loop performance. Can J Chem Eng 67(5):856–861. doi:10.1002/acs.767

    Article  Google Scholar 

  6. Boyd S, Barrat C (1991) Linear control design. Prentice Hall, Englewood Cliffs, NJ

    Google Scholar 

  7. Huang B (2003) A pragmatic approach towards assessment of control loop performance. Int J Adapt Control Signal Process 17:589–608. doi:10.1002/acs.767

    Article  MATH  Google Scholar 

  8. Lofberg J (2004) YALMIP: a toolbox for modeling and optimization in MATLAB. Proceedings of IEEE international symposium on computer-aided control system design, Taipei, Taiwan, No. 04TH8770, pp 284–89

    Google Scholar 

  9. Kariwala V (2007) Fundamental limitation on achievable decentralized performance. Automatica 43(10):1849–1854. doi:10.1016/j.automatica.2007.03.004

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation (No. 51175377) and Tianjin Natural Science Foundation (No. 12JCQNJC02700).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yelong Zheng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Zheng, Y., Yang, X., Zhao, M., Guan, T., Jiang, M. (2014). Adaptive Control Algorithm Improving the Stability of Micro Force Measurement System. In: Zhang, B., Mu, J., Wang, W., Liang, Q., Pi, Y. (eds) The Proceedings of the Second International Conference on Communications, Signal Processing, and Systems. Lecture Notes in Electrical Engineering, vol 246. Springer, Cham. https://doi.org/10.1007/978-3-319-00536-2_134

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-00536-2_134

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00535-5

  • Online ISBN: 978-3-319-00536-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics