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Volume 6 Issue 2
Mar.  2019

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2019  >  6(2): 485-492
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. doi: 10.1109/JAS.2019.1911399
shu

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

doi: 10.1109/JAS.2019.1911399

  • College of Light Industry, Liaoning University, Shenyang 110036, China

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

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    Abstract
  • 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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