Skip to main content

Control of Adaptive Structures

  • Chapter
  • First Online:
Adaptronics – Smart Structures and Materials

Abstract

This chapter is dedicated to aspects of the control of adaptive systems. To this purpose, it first links up with the system-theoretical considerations of the Sect. 2.3, Fig. 2.9, and links these with the previous explanations on active vibration control, in order to derive from them two basic strategies of control in adaptronics. On the one hand, the chapter considers the strategy of feedback control, on the other hand it deals with the variant of feedforward control. Optimal control is presented in this context.

„Der gerade Weg ist der kürzeste, aber es dauert meist am längsten, bis man auf ihm zum Ziele gelangt.“

„The straight path is the shortest, but it usually takes the longest to reach your goal on it.“

Georg Christoph Lichtenberg (1742–1799)

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Similar content being viewed by others

Notes

  1. 1.

    Named after Pierre-Simon Laplace (1749–1827), French mathematician.

  2. 2.

    Named after Norbert Wiener (1894–1964), American mathematician.

  3. 3.

    A time series is ergodic if its time average is the same as its average over the probability space.

  4. 4.

    Named after Otto Toeplitz, 1881-1949, German Mathematician.

  5. 5.

    Meaning is five-jointed robot.

  6. 6.

    Gravitational acceleration: 1 g = 9.81 m/s\(^2\).

References

  1. Algermissen, S.: Selbsteinstellende, robuste Regelung von Strukturschwingungen an Parallelrobotern. Ph.D. thesis, Technische Universität Carolo-Wilhelmina zu Braunschweig, Braunschweig (2010). ISSN 1434-8454

    Google Scholar 

  2. Algermissen, S., Rose, M., Sinapius, M.: Robust gain-scheduling control for parallel robots with smart-structure components. In: Schütz, D., Raatz, A., Wahl, F.M. (eds.) SFB-Kolloquium, 2008, pp. 191–205. Shaker Verlag, Braunschweig (2008)

    Google Scholar 

  3. Elliott, S.: Signal Processing for Active Control. Academic, Cambridge (2001)

    Google Scholar 

  4. Kammeyer K.D., Kroschel, K.: Filterung und Spektralanalyse mit MATLAB-Übungen. Springer, Berlin (2012)

    Google Scholar 

  5. Kuo, S.: Active Noise Control Systems: Algorithms and DSP Implementations. Wiley, New York (1996)

    Google Scholar 

  6. Lu, W.M., Zhou, K., Doyle, J.: Stabilization of linear systems with structured perturbations. Technical Report CIT-CDS 93-014, California Institute of Technology, Pasadena, CA, USA (1993)

    Google Scholar 

  7. Packard, A., Doyle, J.: The complex structured singular value. Automatica 29(1), 71–109 (1993)

    Article  MathSciNet  Google Scholar 

  8. Smirnow, W.I.: Lehrgang höherer Mathematik, vol. III/2. Deutscher Verlag der Wissenschaften (1955)

    Google Scholar 

  9. Stearns, S., David, R.: Signal Processing Algorithms. Prentice-Hall Inc., Upper Saddle River (1988)

    Google Scholar 

  10. Widrow, B., Stearns, S.D.: Adaptive Signal Processing. Prentice Hall, Upper Saddle River (1985)

    Google Scholar 

  11. Zhou, K.: Essentials of Robust Control. Prentice Hall, Upper Saddle River (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Johannes Michael Sinapius .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer-Verlag GmbH Germany, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Sinapius, J.M., Algermissen, S. (2021). Control of Adaptive Structures. In: Adaptronics – Smart Structures and Materials. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-61399-3_7

Download citation

Publish with us

Policies and ethics