A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

Conference object English OPEN
Matos , Carlos; Ortigueira , Manuel ,;
(2012)
  • Publisher: Springer
  • Related identifiers: doi: 10.1007/978-3-642-28255-3_27
  • Subject: discrete time | optimization | [ INFO ] Computer Science [cs] | fractional spectrum | Fractional-order
Part 10: Signal Processing; International audience; In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(sα+p) is proposed. We will show that such fractional-order LTI system can be decomposed into s... View more
  • References (12)
    12 references, page 1 of 2

    1. Ortigueira, M.D.: Fractional Calculus for Scientists and Engineers. 1. s.l., Springer, p. 152. Vol. 84 (2011)

    2. Ortigueira, M.D.: Introduction to Fractional linear systems. Part2: Discrete-time case. February, IEEE. Proc.-Vis. Image Signal Processing, Vol. 147. 1. (2000)

    3. Ramiro S.Barbosa, J. A. Tenreiro Machado.: Implementation of Discrete-Time FractionalOrder Controllers based on LS Approximations. Acta Polytechnica Hungara, p. 4. (2006)

    4. Ortigueira, M.D.: Introduction to Fractional Linear SystemsI: Continuous-Time case. s.l. : IEEE Proceedings Vision, Image and Signal Processing, Vol. 147. 1. (2000)

    5. Ortigueira, M.D., Serralheiro, A. J.: A new least-squares approach to differintegration modeling. s.l. : Elsevier, Signal Processing, Vol. 86, pp. 2582--2591, (2006)

    6. Tseng, C.C., Lee, S.L.: Design of adjustable fractional order differentiator using expansion of ideal frequency response. Signal Processing, s.l. Elsevier, pp. 498--508, (2012)

    7. Ortigueira, M.D., Serralheiro, A.J.: New insights into Pseudo-Fractional ARMA Modeling. Vienna: s.n., September 30, Vol. 1, (2004)

    8. Koostsookos, P.J., Williamson, R.C.: FIR approximation of Fractional Sample Delay Systems. Analog and Digital Signal Processing, s.l. : IEEE Transactions on Circuits and Systems-II, Vol. 43. 3, (1996)

    9. Tavazoei, M.S.: On Monotonic and Nonmonotonic Step Responses in Fractional Order Systems. s.l. : IEEE Transactions on Circuits and Systems-II: Express Briefs, (2011)

    10. Matos, C., Ortigueira M.D.: Fractional Filters: An Optimization Approach.. Emerging Trends in Technological Innovation, Caparica : Springer, pp. 361--366, (2010)

  • Metrics
Share - Bookmark