New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators
| Autor: | Krzysztof J. Latawiec, Marek Rydel, Rafał Stanisławski |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Multidisciplinary General Computer Science Basis (linear algebra) Discretization Article Subject 020208 electrical & electronic engineering Order (ring theory) 02 engineering and technology Stability (probability) Instability lcsh:QA75.5-76.95 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics lcsh:Electronic computers. Computer science Mathematics |
| Zdroj: | Complexity, Vol 2018 (2018) |
| ISSN: | 1076-2787 |
| DOI: | 10.1155/2018/2036809 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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