The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
Abstract
Dynamic systems of an arbitrary real order (fractional-order systems) are considered. The concept of a fractional-order PI/sup /spl lambda//D/sup /spl mu//-controller, involving fractional-order integrator and fractional-order differentiator, is proposed. The Laplace transform formula for a new function of the Mittag-Leffler-type made it possible to obtain explicit analytical expressions for the unit-step and unit-impulse response of a linear fractional-order system with fractional-order controller for both open- and closed-loops. An example demonstrating the use of the obtained formulas and the advantages of the proposed PI/sup /spl lambda//D/sup /spl mu//-controllers is given.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Cited by
Nonlinear system identification using fractional Hammerstein–Wiener models
Hammar, K., Djamah, T., & Bettayeb, M. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-019-05331-9 · Cited by 58
Parameter identification of fractional order linear system based on Haar wavelet operational matrix
Li, Y., Meng, X., Zheng, B., & Ding, Y. (2015) · ISA Transactions · doi:10.1016/j.isatra.2015.08.011 · Cited by 44
Aboelela, M. A. S., & Hennas, R. H. M. (2018) · Fractional Order Systems · doi:10.1016/b978-0-12-816152-4.00017-0 · Cited by 9
Metadata
- Authors
- Podlubny, I.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1999-01
- Volume
- 44
- Issue
- 1
- Pages
- 208-214
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W1969313263
- Cited by
- 3,118
- References
- 1
- FWCI
- 11.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- Podlubny, I. (1999). Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.739144
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