New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators
Joint Authors
Stanisławski, Rafał
Latawiec, Krzysztof J.
Rydel, Marek
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper provides new results on a stable discretization of commensurate fractional-order continuous-time LTI systems using the Al-Alaoui and Tustin discretization methods.
New, graphical, and analytical stability/instability conditions are given for discrete-time systems obtained by means of the Al-Alaoui discretization scheme.
On this basis, an analytically driven stability condition for discrete-time systems using the Tustin-based approach is presented.
Finally, the stability of discrete-time systems obtained by finite-length approximation of the Al-Alaoui and Tustin operators are discussed.
Simulation experiments confirm the effectiveness of the introduced stability tests.
American Psychological Association (APA)
Stanisławski, Rafał& Rydel, Marek& Latawiec, Krzysztof J.. 2018. New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators. Complexity،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1133120
Modern Language Association (MLA)
Stanisławski, Rafał…[et al.]. New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators. Complexity No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1133120
American Medical Association (AMA)
Stanisławski, Rafał& Rydel, Marek& Latawiec, Krzysztof J.. New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators. Complexity. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1133120
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133120
