• Title/Summary/Keyword: 적분오차

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Motor Speed Control Using the Fractional Order Integral (유리차수 적분을 이용한 전동기 속도제어)

  • Jeon, Yong-Ho;Kang, Jung-Yoog
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.3
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    • pp.503-510
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    • 2021
  • This study intends to apply the mathematical method of fractional order differentiation to a controller that controls the response of the system. Therefore, we design integrator for the fractional index by converting it into discrete time to construct a controller. The IP controller composes an integral controller for errors and the proportional controller applies only the system output. The controller is designed by using the fractional order integrator to the integral controller of the IP controller. First, the performance of the PI controller and the IP controller is compared, and the designed controller is applied to the speed control of the motor. As a result, the motor output speed was uniformed and precise control performance could be obtained. It was confirmed that the speed error in the steady state is within 0.1 [%], and it has precise and uniform speed control performance without overshoot.

Model Reduction of LTI systems via Improved BPF integral operation matrix (개선된 블럭펄스 적분연산행렬을 이용한 LTI 시스템 모델축소)

  • Cho, Young-Ho;Shim, Jae-Sun
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.279-281
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    • 2006
  • 적분연산행렬은 구간연속 직교함수들이 시스템 동정, 해석, 제어기 설계 등의 분야에 널리 이용될 수 있는 계기를 제공하였다. 특히 블럭펄스 함수는 연산이 간단하기 때문에 선형 시변계와 비선형계 등의 제어문제 둥에 널리 이용되어 오고 있다. 본 논문은 기존의 블럭펄스 함수 적분 연산행렬과 비교했을 때 적분오차를 줄이는 적분연산행렬을 소개하였으며, 이를 이용하여 고차 시스템의 응답에 가장 최적한 응답을 갖는 저차 시스템의 응답을 갖도록 최적응답 방법에 적용하여 대수적인 방법으로 저차 시스템의 파라메터를 구하는 알고리즘을 제시함으로서 유용성을 확인하였다.

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Calibration of Accelerometer in Gyro-Free Inertial Navigation System using Encoders (엔코더를 이용한 Gyro-Free 관성 항법 장치의 가속도 센서 보정)

  • Kim, Jae-Yong;Kim, Jung-Min;Woo, Seung-Beom;Kim, Sung-Shin
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.05a
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    • pp.100-103
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    • 2011
  • GFINS(gyro-free inertial navigation system)는 가속도 센서에서 계측된 데이터를 2차 적분하여 yaw를 계산한다. 하지만 가속도 센서는 외란과 적분 오차에 의한 누적오차가 지속적으로 커지는 문제가 있다. 따라서 본 논문에서는 퍼지 추론 시스템(FIS: fuzzy inference system)을 이용해 가속도 센서의 데이터를 보정함으로써 누적오차를 줄이는 방법을 제안한다. 제안된 방법의 성능평가를 위해, 직접 설계한 전방향 AGV를 이용하여 직선과 측면, 대각에 대해 반복 실험하였다. 실험 결과, 제안된 방법이 가속도 센서의 데이터를 효과적으로 보정하는 것을 확인하였다.

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Design of a Robust controller of Robot Manipulators (로봇 매니퓰레이터에 대한 강인 제어기 설계)

  • Lee, Young-Chan;Lee, K.W.
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.99-102
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    • 2001
  • 본 논문에서는 파라미터 불확실성이 유한한 로봇 매니퓰레이터에 대한 비선형 강인 제어기법을 제안한다. 파라미터의 불확실성을 보상하는 강인제어시 발생되는 정강 상태 오차를 개선시키기 위하여 오차 관련 함수에 추종오차의 적분항을 추가시키고 제어입력에 이 적분항이 포함되도록 한다. 설계된 제어시스템의 안정도는 Lyapunov 기법에 의하여 해석한다. 파라미터 불확실성을 가지는 로봇 매니퓰레이터에 대한 컴퓨터 시뮬레이션을 통하여 제안된 기법의 성능을 확인하고 5 링크 2 자 유도의 FARA 로봇에 대한 실험을 통하여 제안된 기법이 실용 로봇제어에 적용될 수 있음을 보이고자 한다.

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Selection of bandwidth for local linear composite quantile regression smoothing (국소 선형 복합 분위수 회귀에서의 평활계수 선택)

  • Jhun, Myoungshic;Kang, Jongkyeong;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.30 no.5
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    • pp.733-745
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    • 2017
  • Local composite quantile regression is a useful non-parametric regression method widely used for its high efficiency. Data smoothing methods using kernel are typically used in the estimation process with performances that rely largely on the smoothing parameter rather than the kernel. However, $L_2$-norm is generally used as criterion to estimate the performance of the regression function. In addition, many studies have been conducted on the selection of smoothing parameters that minimize mean square error (MSE) or mean integrated square error (MISE). In this paper, we explored the optimality of selecting smoothing parameters that determine the performance of non-parametric regression models using local linear composite quantile regression. As evaluation criteria for the choice of smoothing parameter, we used mean absolute error (MAE) and mean integrated absolute error (MIAE), which have not been researched extensively due to mathematical difficulties. We proved the uniqueness of the optimal smoothing parameter based on MAE and MIAE. Furthermore, we compared the optimal smoothing parameter based on the proposed criteria (MAE and MIAE) with existing criteria (MSE and MISE). In this process, the properties of the proposed method were investigated through simulation studies in various situations.

An Improved Frequency Modeling Corresponding to the Location of the Anjok of the Gayageum (가야금 안족의 위치에 따른 개선된 주파수 모델링)

  • Kwon, Sundeok;Cho, Sangjin
    • The Journal of the Acoustical Society of Korea
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    • v.33 no.2
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    • pp.146-151
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    • 2014
  • This paper analyzes the previous Anjok model of the Gayageum and describes a method to improve the frequency modeling based on previous model. In the previous work, relation between the fundamental frequency and Anjok's location on the body is assumed as an exponential function and these frequencies are integrated by a first-order leaky integrator. Finally, a parameter of the formula to calculate the fundamental frequency is obtained by applying integrated frequencies to the linear regression. This model shows 2.5 Hz absolute deviation on average and has maximum error 7.75 Hz for the low fundamental frequencies. In order to overcome this problem, this paper proposes that the Anjok's locations are grouped according to the rate of error increase and linear regression is applied to each group. To find the optimal parameter, the RMSE(Root Mean Square Error) between measured and calculated fundamental frequencies is used. The proposed model shows substantial reduction in errors, especially maximum three times.

Fuzzy Tunned PID Controller Using Error And Error rate of Plant Output (공정출력의 오차 및 오차 변화율을 이용한 퍼지 동조 PID 제어기)

  • 최정내;이원혁;김진권;황형수
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.166-172
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    • 1998
  • PD 제어기는 산업현장에 가장 널리 운영되는 제어알고리즘이지만 지금까지 보편적으로 사용되고 있는 PID 파라메터 동조방법인 Ziegler-Nichols 동조법으로는 화학공정 같은 비선형 특성이 크거나, 시정수가 큰 플래트에서는 좋은 성능을 얻을 수 없다. 본 논문에서는 릴레이 동조 실험을 통하여 임계 이득과 발진주기를 구하고, 이 값들로부터 Z-N 동조법을 적용하여 초기 동조값을 구한다. 이 값에 의해서 얻어진 공정 출력의 오차와 오차변화율을 입력으로 한 퍼지 동조기를 통하여 PID 제어기의 비례이득과 적분시간을 구하는 동조 방법을 제시한다.

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Three Dimensional Calculation of Capacitance for VLSI Interconnection Line (VLSI 전송선로에서의 커패시턴스의 3차원 계산)

  • 김한구;곽계달
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.7
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    • pp.64-72
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    • 1992
  • The capacitance for three-dimensional (3D) VLSI interconnection line is calculated. Capacitance is obtained by solving integral equation that is the product of Green's function and surface charge density. Surface charge density is assumed that constant in each subarea, and subarea is devided by rectangular size in interconnetion surfaces. Up to date, so this integral method using Green's function is calculated by Fourier integral transformation, that it cannot help making an error. In this paper, it is proposed to use direct integration instead of Fourier integral method. And we proved accuracy of this paper in comparision with conventional results.

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Accuracy Analysis of GLONASS Orbit Determination Strategies for GLONASS Positioning (GLONASS 측위를 위한 위성좌표 산출 정확도 향상 방안)

  • Lee, Ho-Seok;Park, Kwan-Dong;Kim, Hye-In
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.28 no.6
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    • pp.573-578
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    • 2010
  • Precise determination of satellite positions is necessary to improve positioning accuracy in GNSS. In this study, GLONASS orbits were predicted from broadcast ephemeris using the 4th-order Runge-Kutta numerical integration method and their accuracy dependence on the integration step and the integration time was analyzed. The 3D RMS (Root Mean Square) differences between the results from I-second integration step and 300-second integration step was about 3 cm, but the processing time was one hundred times less for the I-second integration time case. For trials of different integration times, the 3D RMS errors were 8.3 m, 187.3 m, and 661.5 m for 30-, 150-, and 300-minutes of integration time, respectively. Though this integration-time analysis, we concluded that the accuracy gets higher with a shorter integration time. Thus we suggest forward and backward integration methods to improve GLONASS positioning accuracy, and with this method we can achieve a 5-meter level of 3-D orbit accuracy.

Correction of Accelerogram in Frequency Domain (주파수영역에서의 가속도 기록 보정)

  • Park, Chang Ho;Lee, Dong Guen
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4
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    • pp.71-79
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    • 1992
  • In general, the accelerogram of earthquake ground motion or the accelerogram obtained from dynamic tests contain various errors. In these errors of the accelerograms, there are instrumental errors(magnitude and phase distortion) due to the response characteristics of accelerometer and the digitizing error concentrated in low and high frequency components and random errors. Then, these errors may be detrimental to the results of data processing and dynamic analysis. An efficient method which can correct the errors of the accelerogram is proposed in this study. The correction of errors can be accomplished through four steps as followes ; 1) using an interpolation method a data form appropriate to the error correction is prepared, 2) low and high frequency errors of the accelerogram are removed by band-pass filter between prescribed frequency limits, 3) instrumental errors are corrected using dynamic equilibrium equation of the accelerometer, 4) velocity and displacement are obtained by integrating corrected accelerogram. Presently, infinite impulse response(IIR) filter and finite impulse response (FIR) filter are generally used as band-pass filter. In the proposed error correction procedure, the deficiencies of FIR filter and IIR filter are reduced and, using the properties of the differentiation and the integration of Fourier transform, the accuracy of instrument correction and integration is improved.

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