TY - JOUR
N2 - The optimal design of excitation signal is a procedure of generating an informative input signal to extract the model parameters with maximum pertinence during the identification process. The fractional calculus provides many new possibilities for system modeling based on the definition of a derivative of noninteger-order. A novel optimal input design methodology for fractional-order systems identification is presented in the paper. The Oustaloup recursive approximation (ORA) method is used to obtain the fractional-order differentiation in an integer order state-space representation. Then, the presented methodology is utilized to solve optimal input design problem for fractional-order system identification. The fundamental objective of this approach is to design an input signal that yields maximum information on the value of the fractional-order model parameters to be estimated. The method described in this paper was verified using a numerical example, and the computational results were discussed.
L1 - http://www.czasopisma.pan.pl/Content/111101/PDF/04_037-044_00766_Bpast.No.67-1_06.02.20.pdf
L2 - http://www.czasopisma.pan.pl/Content/111101
PY - 2019
IS - No. 1
EP - 44
DO - 10.24425/bpas.2019.127336
KW - fractional calculus
KW - optimal input design
KW - Oustaloup recursive method
KW - parameter identification
A1 - Jakowluk, W.
VL - 67
DA - 28.02.2019
T1 - Optimal input signal design for fractional-order system identification
SP - 37
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/111101
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -