收稿日期: 2014-12-02
网络出版日期: 2016-08-30
基金资助
国家自然科学基金资助项目(61304143, 61174085)
LMI based approach for finite-frequency model order reduction of continuous-time linear time-delayed systems
Received date: 2014-12-02
Online published: 2016-08-30
杜鑫1, 范培兵1, 刘夫伟2 . 基于LMI的连续时间线性时滞系统有限频模型降阶[J]. 上海大学学报(自然科学版), 2016 , 22(4) : 408 -420 . DOI: 10.3969/j.issn.1007-2861.2015.04.014
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.
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