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Modeling of open-loop stable linear systems using a combination of a finite fractional derivative and orthonormal basis functions

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2 Author(s)
Stanislawski, R. ; Dept. of Electr., Control & Comput. Eng., Opole Univ. of Technol., Opole, Poland ; Latwiec, K.J.

This paper presents new results in modeling of linear open-loop stable systems by means of discrete-time finite fractional orthonormal basis functions, in particular the Laguerre functions. New stability conditions are offered and a useful modification to finite fractional derivative is introduced, called normalized finite fractional derivative. Simulation examples illustrate the usefulness of the new modeling methodology.

Published in:

Methods and Models in Automation and Robotics (MMAR), 2010 15th International Conference on

Date of Conference:

23-26 Aug. 2010