Skip to main content

Future Topics

  • Chapter
  • First Online:
Distributed-Order Dynamic Systems

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSCONTROL))

  • 1125 Accesses

Abstract

In previous chapters, methods and tools for the modeling of distributed-order systems were discussed, which include stability analysis of distributed-order systems in four cases of the weighting function of order, and two special cases: double noncommensurate orders and \(N\)-term noncommensurate orders. Distributed-order signal processing technique and optimal distributed-order damping strategies were studied. A general approach to numerical solution to discretization of distributed-order derivatives and integrals, and to numerical solution of ordinary and partial differential equations of distributed order was proposed.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

  • Li HS, Luo Y, Chen YQ (2009) A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments. IEEE Trans Control Syst Technol 18(2):1–5

    MATH  Google Scholar 

  • Luo Y, Chen YQ (2009) Fractional order [proportional derivative] controller for a class of fractional order systems. Automatica 45(10):2446–2450

    Article  MathSciNet  MATH  Google Scholar 

  • Podlubny I (1999) Fractional-order systems and \({P}{I}^{\lambda }{D}^{\mu }\) controllers. IEEE Trans Autom Control 44(1):208–214

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to YangQuan Chen .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 The Author(s)

About this chapter

Cite this chapter

Jiao, Z., Chen, Y., Podlubny, I. (2012). Future Topics. In: Distributed-Order Dynamic Systems. SpringerBriefs in Electrical and Computer Engineering(). Springer, London. https://doi.org/10.1007/978-1-4471-2852-6_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-2852-6_6

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2851-9

  • Online ISBN: 978-1-4471-2852-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics