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Model reduction for the descriptor systems by linear matrix inequalities

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Abstract

In this paper we propose the singular structure preserving model reduction for SISO(single-input/single-output) descriptor systems. A continuous-time descriptor system is decomposed into the slow system and the fast system, and then the fast system is projected into a discrete-time system with controllability and observability matrices the same as those of the original fast system. As a result, we found the respective solutions of H 2 and H ∞ model reduction problems for the singular system using corresponding linear matrix inequalities. Especially frequency weighted H ∞ model reduction and mixed H 2 and H ∞ model reduction are suggested as giving better frequency characteristics. The validity of the proposed method is shown by a numerical example.

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Authors and Affiliations

  1. Department of Electronics and Information Engineering, Konyang University, 26 Naedong, Nonsan, 320-711, Korea

    Do-Chang Oh

  2. Department of Control and Instrumentation Engineering, Changwon National University, 9 Sarimdong, Changwon, 641-733, Korea

    Eun-Tae Jeung

Authors
  1. Do-Chang Oh
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  2. Eun-Tae Jeung
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Correspondence to Do-Chang Oh.

Additional information

Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Jae Weon Choi.

Do-Chang Oh received his B.S., M.S., and Ph.D. degrees in Electronics from Kyungpook National University in 1991, 1993, and 1997, respectively. He was with University of Florida as a Courtesy Associate Professor for one year from July, 2007. He is currently an Associate Professor at Konyang University. His research interests include model and controller reduction, robust control, time delay systems, and industrial application.

Eun-Tae Jeung received his B.S., M.S., and Ph.D. degrees in Electronic Engineering from Kyungpook National University, Daegu, Korea, in 1991, 1993, and 1996, respectively. He is currently a Professor in the Department of Control and Instrumentation Engineering at Changwon National University. His current research interests include robust control, H∞ control, the stabilization of time-delay systems, T-S fuzzy systems, LMI, and non-fragile control.

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Oh, DC., Jeung, ET. Model reduction for the descriptor systems by linear matrix inequalities. Int. J. Control Autom. Syst. 8, 875–881 (2010). https://doi.org/10.1007/s12555-010-0421-3

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  • DOI: https://doi.org/10.1007/s12555-010-0421-3

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