Journal of Shanghai University(Natural Science Edition) ›› 2016, Vol. 22 ›› Issue (4): 408-420.doi: 10.3969/j.issn.1007-2861.2015.04.014

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LMI based approach for finite-frequency model order reduction of continuous-time linear time-delayed systems

DU Xin1, FAN Peibing1, LIU Fuwei2   

  1. 1. School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China;
    2. Huawei Technology Co., Ltd., Shanghai 200040, China
  • Received:2014-12-02 Online:2016-08-30 Published:2016-08-30

Abstract:

Model order reduction of continuous-time linear time-delayed systems over limited frequency intervals is discussed in this paper. The approximation performance is characterized by introducing an index associated with the finite-frequency maximum singular value of the error transfer function. With the aid of some fundamental matrix inequality techniques, sufficient criterion for stability of the reduced-order model and optimizing finite-frequency approximation error is derived. The model order reduction problems can be tackled by solving the corresponding linear matrix inequalities (LMIs) based optimization problems. A numerical example is given to show effectiveness of the proposed technique.

Key words:  finite-frequency ,  linear matrix inequality (LMI),  linear time-delayed system , model order reduction