Title :
Laguerre-based modeling of fractional-order LTI SISO systems
Author :
Stanislawski, Rafal ; Latawiec, Krzysztof J. ; Hunek, Wojciech P. ; Zukaniszyn, Marian
Author_Institution :
Dept. of Electr., Control & Comput. Eng., Opole Univ. of Technol., Opole, Poland
Abstract :
This paper presents a new concept of modeling of LTI SISO discrete-time fractional-order systems, in which the Laguerre filters are employed to model both 1) the Grünwald-Letnikov fractional difference and 2) a dynamics of the LTI SISO fractional-order system. Such a `double-Laguerre´ concept yields original accuracy and computational results at both modeling stages, illustrated with a series of simulation examples.
Keywords :
discrete time systems; filtering theory; Grünwald-Letnikov fractional difference; LTI SISO discrete-time fractional-order systems; Laguerre filters; Laguerre-based modeling; double-Laguerre concept; fractional-order LTI SISO systems; Accuracy; Analytical models; Approximation methods; Computational modeling; Finite impulse response filters; Mathematical model; Transfer functions;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4673-5506-3
DOI :
10.1109/MMAR.2013.6669980
