Research Article
Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems
Table 1
Stability results for FFD/FLD/FFLD-based fractional-order Laguerre systems.
| | Approximation | | | | Condition | Comment |
| | FFD ( = 100) | 0.7 | 0.5 | = 0.99 | Stable | Stable1 | | FFD ( = 100) | 0.5 | 0.5 | = 1.02 | | Stable2 | | FFD ( = 100) | 1.2 | 0.5 | = 0.99 | | Stable3 | | FFD ( = 100) | 1.5 | 0.5 | = 1.02 | Unstable | Unstable | | FLD ( = 20, ) | 0.5 | 5 | = 1.02 | | Unstable | | FLD ( = 20, ) | 1.2 | 1 | = 0.995 | | Stable | | FFLD ( = 10, = 20, = 0.959) | 0.8 | 0.8 | = 1.001 | | Stable2 | | FFLD ( = 10, = 20, = 0.933) | 1.3 | 0.1 | = 0.999 | | Unstable3 |
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