Finite-frequency model order reduction of discrete-time linear time-delayed systems

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• 作者：Xin Du ; Feibing Fan ; Da-Wei Ding ; Fuwei Liu
• 关键词：Model order reduction ; Finite frequency ; Discrete ; time linear time ; delayed systems ; Linear matrix inequality (LMI)
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：83
• 期：4
• 页码：2485-2496
• 全文大小：778 KB
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• 作者单位：Xin Du (1)
  Feibing Fan (1)
  Da-Wei Ding (2)
  Fuwei Liu (3)
  
  1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, People’s Republic of China
  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China
  3. Huawei Technology Cooperation, LTD, Shanghai, 200040, People’s Republic of China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This paper discusses model order reduction of discrete-time linear time-delayed systems over limited frequency interval. Firstly, a finite-frequency index is introduced to characterize the desired approximation performance over the pre-specified frequency interval. By exploiting the finite-frequency analysis results for linear delay systems, sufficient criterions for guaranteeing stability of the reduced-order model and optimizing the finite-frequency approximation error are derived with the aid of matrix inequality techniques. The finite-frequency model order reduction problem then is converted to a LMI-based optimization problem, which can be solved easily. Finally, a numerical example is given to illustrate the effectiveness of the proposed results. Keywords Model order reduction Finite frequency Discrete-time linear time-delayed systems Linear matrix inequality (LMI)