• Title/Summary/Keyword: Hankel singular norm

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DISCRETE MODEL REDUCTION OVER DISC-TYPE ANALYTIC DOMAINS AND $\infty$-NORM ERROR BOUND

  • Oh, Do-Chang;Lee, Kap-Rai;Um, Tae-Ho;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.64-68
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    • 1996
  • In this note, we propose the discrete model reduction method over disc-type analytic domains. We define Hankel singular value over the disc that is mapped by standard bilinear mapping. And GSPA(generalized singular perturbation approximation) and DT(direct truncation) are generalized to GSPA and DT over a disc. Furthermore we show that the reduced order model over a smaller domain has a smaller L$_{\infty}$ norm error bound..

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Balanced model reduction of non-minimum phase plant into minimum phase plant (비최소 위상 플랜트의 최소 위상 플랜트로의 균형 모델 저차화)

  • 구세완;권혁성;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1205-1208
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    • 1996
  • This paper proposes balanced model reduction of non-minimum phase plant. The algorithm presented in this paper is to convert high-order non-minimum phase plant into low-oder minimum phase plant using balanced model reduction. Balanced model reduction requires the error bound that Hankel singular value produces. This algorithm shows the tolerance that admits the method of this paper.

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Discrete model reduction over disc-type analytic domains (디스크형태의 해석적영역을 가지는 이산모델 차수축소)

  • 오도창;정은태;이갑래;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.5
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    • pp.27-34
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    • 1998
  • This paper is on the discrete model reduction method over disc-type analytic domains. We define hankel singular value over the disc that is mapped by standard bilinear mapping. And the generalized singular perturbation approximation and the direct truncation are generalized to GSPA and DT over a disc. Furthermore, it is shown that the reduced order model over a smaller domaing has a smaller .inf.-norm error bound. And the poposed reduction method is used to obtain the regional pole placement property.

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