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Název: | Value set-based numerical analysis of robust stability for fractional-order retarded quasi-polynomials with uncertain parameters and uncertain fractional orders |
Autor: | Matušů, Radek; Senol, Bilal; Alagoz, Baris Baykant; Ates, Abdullah |
Typ dokumentu: | Článek ve sborníku (English) |
Zdrojový dok.: | Lecture Notes in Networks and Systems. 2021, vol. 231 LNNS, p. 18-23 |
ISSN: | 2367-3370 (Sherpa/RoMEO, JCR) |
ISBN: | 978-3-03-090320-6 |
DOI: | https://doi.org/10.1007/978-3-030-90321-3_3 |
Abstrakt: | This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG. |
Plný text: | https://link.springer.com/chapter/10.1007/978-3-030-90321-3_3 |
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