A Method for the Hankel-Norm Approximation of Fractional-Order Systems
| Autor: | Jay L. Adams, Robert J. Veillette, Tom T. Hartley |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Approximation error
Mechanical Engineering Laurent series ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Born–Huang approximation Discrete dipole approximation codes Applied mathematics Spouge's approximation Linear approximation Small-angle approximation Minimax approximation algorithm Civil and Structural Engineering Mathematics |
| Zdroj: | Journal of Applied Nonlinear Dynamics. 6:153-171 |
| ISSN: | 2164-6473 2164-6457 |
| DOI: | 10.5890/jand.2017.06.003 |
| Popis: | A model-reduction methodology for fractional-order systems based on the Hankel-norm is presented. The methodology involves the truncation of a Laurent series associated with the fractional-order system in a transformed domain. The truncated Laurent series coefficients are used to construct a finite-order transfer function to approximate the original system. Standard model-reduction techniques are then applied to obtain a final low-order approximation. The Hankel norm of the approximation error can be specified a priori. The approximation method is applied to several fractional-order and other infinite-order systems. It is shown to be more generally applicable than standard finite-order modeling techniques. |
| Databáze: | OpenAIRE |
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