Optimal input signal design for fractional-order system identification

• Autorzy: Jakowluk W.

Identyfikatory

DOI

10.24425/bpas.2019.127336

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional calculus; optimal input design; Oustaloup recursive method; parameter identification

PL

rachunek różniczkowy; optymalizacja pobudzenia; metoda rekurencyjna; Oustaloup; identyfikacja parametrów

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 1
• Strony: 37--44
• Opis fizyczny: Bibliogr. 36 poz., wykr.

Twórcy

autor

Jakowluk W.

• Bialystok University of Technology, Faculty of Computer Science, Wiejska 45A, 15-351 Bialystok, Poland

Bibliografia

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Uwagi

EN

The present study was supported by a grand S/WI/1/13 from the Bialystok University of Technology and founded from the resources for research by Ministry of Science and Higher Education.

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).