• 제목/요약/키워드: Taylor Linear Approximation

검색결과 15건 처리시간 0.021초

자기부상 시스템의 제어기 설계 (A Controller Design of a Magnetic Levitation System)

  • 하영원
    • 동력기계공학회지
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    • 제4권3호
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    • pp.62-71
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    • 2000
  • A mathematical modeling for a magnetic levitation system is proposed using the Taylor series expansion of differential function for obtaining linearity. It is confirmed that this kind of linear approximation method can be used to the modeling of a magnetic levitation system. The two-degree-of-freedom optimal servo system for a constant reference signal is proposed using the LQ optimization technique. An additional state feedback is introduced at the output of the integrator to cancel the integral action for reference signal if there is no modeling error of the plant and no disturbance input to the plant. When the modeling error or the disturbance input exists, the integral effect appears. The system has a free parameter which can b used to tune the effect of the integral compensation.

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Estimation of error variance in nonparametric regression under a finite sample using ridge regression

  • Park, Chun-Gun
    • Journal of the Korean Data and Information Science Society
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    • 제22권6호
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    • pp.1223-1232
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    • 2011
  • Tong and Wang's estimator (2005) is a new approach to estimate the error variance using least squares method such that a simple linear regression is asymptotically derived from Rice's lag- estimator (1984). Their estimator highly depends on the setting of a regressor and weights in small sample sizes. In this article, we propose a new approach via a local quadratic approximation to set regressors in a small sample case. We estimate the error variance as the intercept using a ridge regression because the regressors have the problem of multicollinearity. From the small simulation study, the performance of our approach with some existing methods is better in small sample cases and comparable in large cases. More research is required on unequally spaced points.

LMLE 알고리듬을 이용한 OFDM 수신기 설계 및 분석 (Design and analysis of OFDM receiver employing LMLE algorithm)

  • 이종열;정영모;이상욱
    • 한국통신학회논문지
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    • 제21권12호
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    • pp.3174-3182
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    • 1996
  • 본 논문에서는 시간 선택성 다경로 페이딩 채널 상에서 OFDM(orthogonal frequency division multiplexing) 신호를 수신할 수 있는 수신기를 제안하였다. 최적 수신을 위하여 LMLE(linear maximum likelihood estimation) 알고리듬을 이용하여 OFDM demultiplexing 신호로부터 실제 전송된 심볼을 추정하였다. 또한 테일러 근사를 이용하여 비트 오류 확률의 하한을 해석적으로 구하였다. 시간 선택성 페이딩 채널 상에서 OFDM신호를 matched 필터로 수신하는 경우에는 인접 채널간의 cross-talk 현상으로 인하여 $10^{-1}$ 이하의 에러율을 얻을 수 없으나, 본 논문에서 제안하는 수신기를 사용하는 경우에는 15dB의 SNR에서 $10^{-4}$ 정도의 에러율을 얻을 수 있다. 또한, 제안하는 수신기는 subchannel의 수와 채널의 경로의 증가에 따른 성능저하가 거의 나타나지 않음을 확인 할 수 있었다.

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근사기법을 이용한 태양광 발전의 MPPT 제어 (Maximum Power Point Tracking of Photovoltaic System using Approximation Method)

  • 박기태;최정식;고재섭;박병상;정동화
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.1215-1217
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    • 2007
  • This paper is proposed a novel method to approximate the maximum power for a photovoltaic inverter system. It is designed for power systems application and utilities. The proposed Maximum Power Point Tracking(MPPT) control has the advantage to provide a new simple way to approximate the optimal or rated voltage, the optimal or rated current and maximum power rating produced by a solar panel and the photovoltaic inverter. And this straightforward method will be named linear reoriented coordinates method(LRCM) with the advantage that Pmax and $V_{op}$ can be approximated using the same variable as the dynamic model without using complicate approximations or Taylor series. This paper is proposed MPPT using LRMC method using weather condition of domestic moderate program technique. This paper is proposed the experimental results to verify the effectiveness of the new methods.

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Capabilities of 1D CUF-based models to analyse metallic/composite rotors

  • Filippi, Matteo;Carrera, Erasmo
    • Advances in aircraft and spacecraft science
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    • 제3권1호
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    • pp.1-14
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    • 2016
  • The Carrera Unified Formulation (CUF) is here extended to perform free-vibrational analyses of rotating structures. CUF is a hierarchical formulation, which enables one to obtain refined structural theories by writing the unknown displacement variables using generic functions of the cross-section coordinates (x, z). In this work, Taylor-like expansions are used. The increase of the theory order leads to three-dimensional solutions while, the classical beam models can be obtained as particular cases of the linear theory. The Finite Element technique is used to solve the weak form of the three-dimensional differential equations of motion in terms of "fundamental nuclei", whose forms do not depend on the adopted approximation. Including both gyroscopic and stiffening contributions, structures rotating about either transversal or longitudinal axis can be considered. In particular, the dynamic characteristics of thin-walled cylinders and composite blades are investigated to predict the frequency variations with the rotational speed. The results reveal that the present one-dimensional approach combines a significant accuracy with a very low computational cost compared with 2D and 3D solutions. The advantages are especially evident when deformable and composite structures are analyzed.