A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 6 Issue 2
Mar.  2019

IEEE/CAA Journal of Automatica Sinica

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Article Contents
Zhe Gao, "Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm," IEEE/CAA J. Autom. Sinica, vol. 6, no. 2, pp. 485-492, Mar. 2019. doi: 10.1109/JAS.2019.1911399
 Citation: Zhe Gao, "Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm," IEEE/CAA J. Autom. Sinica, vol. 6, no. 2, pp. 485-492, Mar. 2019.

# Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm

##### doi: 10.1109/JAS.2019.1911399
Funds:

the National Natural Science Foundation of China 61304094

the National Natural Science Foundation of China 61673198

the National Natural Science Foundation of China 61773187

the Natural Science Foundation of Liaoning Province, China 20180520009

• 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.

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