• Title/Summary/Keyword: Discrete Transfer Function

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Some Remarks on the s-plane to w-plane Correlations of w-transform (w-변환의 s와 w영역간의 관계에 대한 유의 성질)

  • Jin, Lihua;Kim, Young-Chol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.1
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    • pp.117-124
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    • 2012
  • In this paper, we present some remarks on the correlations between s and w domains when a discrete-time transfer function is converted from z-plane by using the w-transform. With time response specifications, when a digital filter or controller is designed in z-plane, the w-transform is useful for the purpose if only the w-transformed system closely approximates to the continuous-time system. It will be shown that the approximation is accomplished only in the specific region depending on sampling time. Also, it is noted that such an approximation should be carefully dealt with for the case where a discrete-time reference transfer function is synthesized for the use of direct digital design.

Measurement of the Modulation Transfer Function of Infrared Imaging System by Modified Slant Edge Method

  • Li, Hang;Yan, Changxiang;Shao, Jianbing
    • Journal of the Optical Society of Korea
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    • v.20 no.3
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    • pp.381-388
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    • 2016
  • The performance of a staring infrared imaging system can be characterized based on estimating the modulation transfer function (MTF). The slant edge method is a widely used MTF estimation method, which can effectively solve the aliasing problem caused by the discrete undersampling of the infrared focal plane array. However, the traditional slant edge method has some limitations such as the low precision of the edge angle extraction and using the approximate function to fit the edge spread function (ESF), which affects the accuracy of the MTF estimation. In this paper, we propose a modified slant edge method, including an edge angle extraction method that can improve the precision of the edge angle extraction and an ESF fitting algorithm which is based on the transfer function model of the imaging system, to enhance the accuracy of the MTF estimation. This modified slant edge method presents higher estimation accuracy and better immunity to noise and edge angle than other traditional methods, which is demonstrated by the simulation and application experiments operated in our study.

The identification of continuous-time systems within a closed-loop

  • Bae, Chul-Min;Wada, Kiyoshi;Imai, Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.157-160
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    • 1996
  • Physical systems axe generally continuous-time in nature. However as the data measured from these systems is generally in the form of discrete samples, and most modern signal processing is performed in the discrete-time domain, discrete-time models are employed. This paper describes methods for estimating the coefficients of continuous-time system within a closed loop control system. The method employs a recursive estimation algorithm to identify the coefficients of a discrete-time bilinear-operator model. The coefficients of the discrete-time bilinear-operator model closely approximate those of the corresponding continuous-time Laplace transform transfer function.

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Estimation of Parameters of the Linear, Discrete, Input-Output Model (선형 이산화 입력-출력 모형의 매개변수 결정에 관한 연구)

  • 강주복;강인식
    • Journal of Environmental Science International
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    • v.2 no.3
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    • pp.193-199
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    • 1993
  • This study has two objectives. One is developing the runoff model for Hoe-Dong Reservoir basin located at the upstream of Su-Young River in Pusan. To develop the runoff model, basic hydrological parameters - curve number to find effective rainfall, and storage coefficient, etc. - should be estimated. In this study, the effective rainfall was calculated by the SCS method, and the storage coefficient used in the Clark watershed routing was cited from the report of P.E.B. The other is the derivation of transfer function for Hoe-Dong Reservoir basin. The linear, discrete, input-output model which contained six parameters was selected, and the parameters were estimated by the least square method and the correlation function method, respectively. Throughout this study, rainfall and flood discharge data were based on the field observation in 1981.8.22 - 8.23 (typhoon Gladys). It was observed that the Clark watershed routing regenerated the flood hydrograph of typhoon Gladys very well, and this fact showed that the estimated hydrological parameters were relatively correct. Also, the calculated hydrograph by the linear, discrete, input-output model showed good agreement with the regenerated hydrograph at Hoe-Dong Dam site, so this model can be applicable to other small urban areas. Key Words : runoff, effective rainfall, SCS method, clark watershed iou상ng, hydrological parameters, parameter estimation, least square method, correlation function method, input-output model, typhoon gladys.

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Discrete Model Reference Adaptive Control based on Lyapunov's Stability Theory (Lyapunov 안정도이론에 기초를 둔 이산기준모델 적응제어)

  • 함운철;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.6
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    • pp.942-947
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    • 1987
  • In this paper, we suggest a new adaptive control theory for discrete-time single-input single output systems based on the Lyapunov's stability theory by using the fact that the transfer function of the model is strictly positive real. And also, obervers are used in the structure of controller. The result of computer simulation shows that the proposed algorithm can be applied to both stable and unstable plants.

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Simplification of Transfer Function Via Walsh Function in Frequency Domain (주파수 영역에서 Walsh 함수에 의한 전달함수의 간단화)

  • Doo-Soo Ahn
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.8
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    • pp.33-38
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    • 1982
  • This paper deals with the simplification of the transfer function in a frequency domain, viz. the integral of the squared errors between the original and the simplified model is minimized and the latter is estimated by the Walsh function. It tries to minimize the errors between the frequency responses of the two functions. This method is compared with the existing method by means of a numercal example. The frequency response of this simplified model approximates closely to that of the original model. The proposed method is simpler in analysis and easier in implementation than the existing methods. Though the Walsh function can be easily generated with the discrete values, it has errors because its zero crossings are not continuous. This method aims at the reduction of the errors in the real parts and the imaginary parts of the two functions by dividing into the more sub-intervals, and selecting the reduced-order model according to the response of the model. As a result, it can be applied for the simplification of higher order functions into lower order functions and for the design of control systems.

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Discrete-time learning control for robotic manipulators

  • Suzuki, Tatsuya;Yasue, Masanori;Okuma, Shigeru;Uchikawa, Yoshiki
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.1069-1074
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    • 1989
  • A discrete-time learning control for robotic manipulators is studied using its pulse transfer function. Firstly, discrete-time learning stability condition which is applicable to single-input two-outputs systems is derived. Secondly, stability of learning algorithm with position signal is studied. In this case, when sampling period is small, the algorithm is not stable because of an unstable zero of the system. Thirdly, stability of algorithm with position and velocity signals is studied. In this case, we can stabilize the learning control system which is unstable in learning with only position signal. Finally, simulation results on the trajectory control of robotic manipulators using the discrete-time learning control are shown. This simulation results agree well with the analytical ones.

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A study on the construction of balanced realization

  • Wada, Kiyoshi;Lu, Ji-Cheng;Sagara, Setsuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1623-1626
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    • 1991
  • The paper considers the algorithms of balanced realization from SISO transfer functions. Some methods which have been proposed to find a balanced realization from the companion form realization, are investigated. Then a new method is proposed which finds a balanced realization from the discrete Schwarz form realization. The process of computing the elements of Schwarz matrix from the transfer function is equivalent to the Schur-Cohn stability test procedure. Comparison of the proposed method with the previous works is also discussed.

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Covariance analysis describing function technique for missile performance (CADET를 이용한 가로방향 힘의 Saturation에 대한 미사일의 성능해석)

  • 김진호
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.456-459
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    • 1993
  • CADET is used to analyze the performance of the missile. Miss distance is calculated for a given lateral fin force saturation level due to the aerodynamic characteristics, target acceleration, and glint and fading noises which is assumed as Gaussian noises. As .alpha.-.betha. filter is studied to attenuate the noises, the results are compared with those of without filter. For the easy simulation, the transfer function of a discrete .alpha.-.betha. filter is converted into the continuous model. Simulation results show that the results of CADET simulation is similar to those of Monte-Carlo simulation. Moreover CADET is the better in computing time demand.

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