Details

Autor(en) / Beteiligte

• Gao, Zhe

Titel

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 Electronic Library Online

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.