• 제목/요약/키워드: hankel approximation

검색결과 20건 처리시간 0.024초

AN APPROXIMATION OF THE HANKEL TRANSFORM FOR ABSOLUTELY CONTINUOUS MAPPINGS

  • DRAGOMIR, N.M.;DRAGOMIR, S.S.;GU, M.;GAN, X.;WHITE, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제6권1호
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    • pp.17-31
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    • 2002
  • Using some techniques developed by Dragomir and Wang in the recent paper [2] in connection to Ostrowski integral inequality, we point out some approximation results for the Henkel's transform of absolutely continuous mapping.

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J-lossless 소인수분해와 균형화된 변환을 이용한 제어기 차수줄임 (Reduced order controller using J-lossless coprime factorization and balanced transformation)

  • 오도창;정은태;엄태호;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.1018-1023
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    • 1992
  • In this paper we proposed the systematic method of reducing the order of controller with robustness. State space formulae for all controllers is found by solving two coupled J-lossless coprime factorizations and model reduction problem. To reduce the order of controller, balanced truncation and Hankel approximation are used.

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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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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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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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디스크형태의 해석적영역을 가지는 이산모델 차수축소 (Discrete model reduction over disc-type analytic domains)

  • 오도창;정은태;이갑래;박홍배
    • 전자공학회논문지S
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    • 제35S권5호
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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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BMI의 반복적 해법을 이용한 주파수하중 차수축소 ((Frequency Weighted Reduction Using Iterative Approach of BMI))

  • 김용태;오도창;박홍배
    • 전자공학회논문지SC
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    • 제39권1호
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    • pp.33-41
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    • 2002
  • 본 논문에서는 기존의 주파수하중 균형절단 기법과 주파수하중 한켈노옴 근사화 기법에 비하여 더 작은 H∞ 하중 축소오차를 가지는 새로운 알고리듬을 제시한다. 제시한 알고리듬은 제한 실 보조정리로부터 반복적인 두 단계의 선형행렬부등식 형태로 유도한다. 또한 제안한 알고리듬을 성능보장을 위한 제어기 차수축소기법에 적용한다. 수치적 예를 통하여 제안한 알고리듬의 타당성을 보이고 기존의 모델 차수축소기법과 비교 분석하며 HIMAT(highly maneuverable aircraft technology) 시스템의 예를 통하여 성능보장을 위한 제어기 차수축소 기법에 적용할 수 있음을 보인다.

임펄스응답 데이타의 펄스전달함수의 근사 (Approximation of Pulse Transfer Function of Impulse Response Data)

  • 이동철;배종일;정형환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.683-685
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    • 1999
  • As a method of obtaining pulse transfer function. transfer function of discrete-time from input-output data, there are method of obtaining unknown parameter of pulse transfer function from estimated impulse response before(1-3). There is no need to approximate to several meanings because of not being established algebraical relations between impulse response for estimation error and parameter of transfer function exactly. In this paper, I inquire the method[4] of obtaining the optimal pulse transfer function as a meaning of Hankel norm approximation from impulse response data and examine estimated property as computer simulation from this method.

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3자유도 능동형 제진 시스템의 불확실성과 제어 (Uncertainties and control of a 3-DOF active vibration isolation system)

  • 김화수;박희재;문준희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.925-933
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    • 2006
  • Using the physics-based model for the vibration isolation system, the model uncertainties are described. With the model including parameter perturbations, the robust controller to meet the robust performance and stability is designed through $\mu$-synthesis by DK-iteration. The order of controller is reduced by virtue of Hankel norm approximation technique to allow the efficient implementation in the real-time experimental environment without any performance degradation. The performance of the reduced $\mu$-controller is accessed in comparison with the original one. The experiments validate the superiority of the proposed control scheme against the model uncertainties and its applicability with varying payload.

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광대역 Annular Ring 마이크로스트립 패치 안테나의 해석 (Analysis of Wide Band Annular Ring Microstrip Patch Antenna)

  • 서철헌;김형석
    • 정보통신설비학회논문지
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    • 제2권1호
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    • pp.13-21
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    • 2003
  • This paper presents the analysis of the mode characteristics of an annular ring microstrip patch antenna for circular polarization with attachment mode using method of moments in the spectral domain. For a probe excitation, the input impedance are obtained by using the single mode approximation for both the $TM_{11}$ and $TM_{12}$ modes and compared with those by Vector Hankel Transform. While the $TM_{11}$ mode has a high Q, it is a poor radiating mode; the $TM_{12}$ mode is more suitable for antenna applications. It is also shown that the bandwidth of the $TM_{12}$ mode is wider than that of the $TM_{11}$ mode in terms of axial ratio for circular polarizatio

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3자유도 능동형 제진 시스템의 불확실성과 제어 (Uncertainties and Control of a 3-DOF Active Vibration Isolation System)

  • 김화수;박희재;조영만;문준희
    • 한국소음진동공학회논문집
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    • 제16권12호
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    • pp.1262-1271
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    • 2006
  • Using the physics-based model for the vibration isolation system, the model uncertainties are described. With the model including parameter perturbations, the robust controller to meet the robust performance and stability is designed through $\mu$-synthesis by DK-iteration. The order of controller is reduced by virtue of Hankel norm approximation technique to allow the efficient implementation in the real-time experimental environment without any performance degradation. The performance of the reduced $\mu$-controller is accessed in comparison with the original one. The experiments validate the superiority of the proposed control scheme against the model uncertainties and its applicability with varying payload.

H^$\infty$ Controller Design Based on NLCF Models: A Unified Approach for Continuous and Discrete Systems

  • Youn, Sang-Soon;Kwon, Oh-Kyu
    • Journal of Electrical Engineering and information Science
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    • 제3권3호
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    • pp.306-315
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    • 1998
  • In this paper, a unified approach to the H\ulcorner controller design is proposed under the $\delta$-form for both continuous and discrete systems. Most of important basic concepts of H\ulcorner control, such as inner, co-inner, GCARE and GFARE, are reformulated by the unified form. The NLCF(Normalized left Comprime Factor) plant description has been reviewed in the $\delta$-form, and some corresponding results are proposed. And the unified H\ulcorner controller is designed which is based on the McFarlane and Glover{1]. The state-space parameterization for all suboptimal controllers is given under the NLCF model which may not be strictly proper, and the central controller is derived by using the solution to Hankel norm approximation problem[2]. The unified controller is applied to the industrial boiler control problem to exemplify the performance of the controller.

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