International Journal of Control, Automation, and Systems

  • 제2권3호
  • /
  • Pages.384-389
  • /
  • 2004
  • /
  • 1598-6446(pISSN)
  • /
  • 2005-4092(eISSN)
제어로봇시스템학회 (Institute of Control, Robotics and Systems)
권호 표지

A New Consideration for Discrete-System Reduction via Impulse Response Gramian

  • Younseok Choo (School of Electronic, Electrical and Computer Engineering, Hongik University) ;
  • Park, Jaeho (School of Electrical and Electronic Engineering, Chungbuk National University)
  • 발행 : 2004.09.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Recently a method of model reduction for discrete systems has been proposed in the literature based on a new impulse response Gramian. In this method, the system matrix$A_r$ of a reduced model is computed by approximating the reduced-order impulse response Gramian. The remaining matrices $b_r$ and $c_r$ are obtained so that various initial Markov parameters and time-moments of the original system are preserved in the reduced model. In this paper a different approach is presented based on the recursive relationship among the impulse response Gramians.

키워드

참고문헌

  1. Int. J. Sys. Sci. v.21 Identification and model reduction from impulse response data P. Agathoklis;V. Steeram https://doi.org/10.1080/00207729008910475
  2. Int. J. Contr. v.53 Model reduction of lonear discrete systems via weighted impulse response Gramian V. Sreeram;P. Agathoklis https://doi.org/10.1080/00207179108953613
  3. IEEE Trans. on Automat. Contr. v.38 no.10 On the computation of the Gram matrix in time domain and its application V. Sreeram;P. Agathoklis https://doi.org/10.1109/9.241566
  4. IEEE Trans. Automat. Contr. v.40 no.5 Model reduction by matching Markov parameters, time moments, and impulse-response energies W. Krajewski;A. Lepschy;U. Viaro https://doi.org/10.1109/9.384238
  5. IEEE Trans. on Automat. Contr. v.37 no.5 Discrete-system reduction via impulse-response Gramians and its relation to q-Markov covers V. Sreeram;P. Agathoklis https://doi.org/10.1109/9.135509
  6. IEEE Trans. on Circuits Sys. v.35 no.4 The generation of all q-Markov Covers B. D. O. Anderson;R. E. Skelton https://doi.org/10.1109/31.1752
  7. IEEE Trans. on Automat. Contr. v.45 no.3 A new discrete impulse response Gramian and its application to model reduction S. Azou;P. Brehonnet;P. Vilbe;L. C. Calvez https://doi.org/10.1109/9.847738
  8. Linear Systems T. Kailath
  9. ASME J. Dyn. Sys., Meas. Control v.112 Order reduction of discrete-time system via bilinear Routh approximation C. Hwang;C.-S. Hsieh https://doi.org/10.1115/1.2896138