New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators

Rafał Stanisławski, Marek Rydel and Krzysztof J. Latawiec

Complexity, 2018, vol. 2018, 1-9

Abstract:

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2036809

DOI: 10.1155/2018/2036809

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