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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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
Luo Y, Chen YQ (2009) Fractional order [proportional derivative] controller for a class of fractional order systems. Automatica 45(10):2446–2450
Podlubny I (1999) Fractional-order systems and \({P}{I}^{\lambda }{D}^{\mu }\) controllers. IEEE Trans Autom Control 44(1):208–214
Author information
Authors and Affiliations
Corresponding author
Rights 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)