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Stable model order reduction method for fractional-order systems based on unsymmetric Lanczos algorithm
Ist Teil von
IEEE/CAA journal of automatica sinica, 2019-03, Vol.6 (2), p.485-492
Ort / Verlag
Piscataway: Chinese Association of Automation (CAA)
Erscheinungsjahr
2019
Quelle
IEEE Xplore
Beschreibungen/Notizen
This study explores a stable model order reduction method for fractional-order systems. Using the unsymmetric Lanczos algorithm, the reduced order system with a certain number of matched moments is generated. To obtain a stable reduced order system, the stable model order reduction procedure is discussed. By the revised operation on the tridiagonal matrix produced by the unsymmetric Lanczos algorithm, we propose a reduced order modeling method for a fractional-order system to achieve a satisfactory fitting effect with the original system by the matched moments in the frequency domain. Besides, the bound function of the order reduction error is offered. Two numerical examples are presented to illustrate the effectiveness of the proposed method.