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New Trends in Nanotechnology and Fractional Calculus Applications pp 87–96Cite as

Non Integer Order Operators Implementation via Switched Capacitors Technology

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Abstract

In this chapter a Switched Capacitors (SC) implementation of fractional differintegral operator is proposed. Time and frequency domain result tests validate the feasibility and reliability of the SC circuit implementation. A detailed analysis of the influence of the non-idealities is proposed in order to obtain a design ready for Integrated Circuit (IC) implementation. The proposed approach may guarantee a good degree of approximation of fractional differintegral operator and therefore the possibility to realize PI λ D μ controller IC based on switched capacitors technology.

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References

  1. Bohannan GW (2006) Analog fractional order controller in a temperature control application. IFAC Workshop on Fractional Differentiation and Its Application, Porto

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Authors and Affiliations

  1. Engineering Faculty, University of Catania, D.I.E.E.S Viale A. Doria 6, 95125, Catania, Italy

    Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna & Antonio Gallo

Authors
  1. Riccardo Caponetto
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  2. Giovanni Dongola
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  3. Luigi Fortuna
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  4. Antonio Gallo
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Corresponding author

Correspondence to Riccardo Caponetto .

Editor information

Editors and Affiliations

  1. Fac. Engineering & Architecture, Cankaya University, Ogretmenler Cad. 14, Ankara, 06530, Turkey

    Dumitru Baleanu

  2. Fac. Engineering & Architecture, Cankaya University, Ogretmenler Cad. 14, Ankara, 06530, Turkey

    Ziya B. Guvenc

  3. Polytechnic Institute of Porto, Institute of Engineering of the, Rua Dr. Antonio Bernardino de Almeida, Porto, 4200-072, Portugal

    J. A. Tenreiro Machado

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Caponetto, R., Dongola, G., Fortuna, L., Gallo, A. (2010). Non Integer Order Operators Implementation via Switched Capacitors Technology. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_7

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  • DOI: https://doi.org/10.1007/978-90-481-3293-5_7

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3292-8

  • Online ISBN: 978-90-481-3293-5

  • eBook Packages: EngineeringEngineering (R0)

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