• Title/Summary/Keyword: Discrete Transfer Function

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A frequency domain adaptive PID controller based on non-parametric plant model representation

  • Egashira, Toyokazu;Iwai, Zenta;Hino, Mitsushi;Takeyama, Yoshikazu;Ono, Taisuke
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.165-168
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    • 1996
  • In this paper, we propose a design method of PID adaptive controller based on frequency domain analysis. The method is based on the estimation of a nonparametric process model in the frequency domain and the determination of the PID controller parameters by achieving partial model matching so as to minimize a performance function concerning to relative model error between the loop transfer function of the control system and the desired system. In the design method the process is represented only by a discrete set of points on the Nyquist curve of the process. Therefore it is not necessary to estimate a full order parameterized process model.

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Modeling of Combustion in Co-Generation / Industrial Boiler Furnace (열병합/산업용 보일러 화로에서의 연소 해석)

  • Kim, Byoung-Yun;Park, Pu-Min;Lee, Kyoung-Mo
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.842-846
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    • 2001
  • Our company produces boilers for industrial usages or power plants. The aim of this study is to investigate the flame structure, heat transfer to evaporator tube wall and NOx emission in the furnaces. Also we are to derive correct FEGT(Furnace Exit Gas Temperature) characteristic curve. When we design furnace and superheater, economizer etc. FEGT characteristic curve is very important factor for optimum design. We calculated turbulent reacting flow, heat transfer and NOx emission in furnace by using numerical modeling with the help of commercial code. Three dimensional steady state calculation is done. k-e turbulence model and equilibrium chemistry combustion model with $\beta-probability$ density function is used. To calculate radiation heat transfer discrete ordinates model is used. And we measured FEGT at several operating plants. Measurement is done by R-type thermocouple. Radiation shield is attached to the thermocouple to prevent radiation effect. Measured and calculated results show good agreement. And we could understand the flame structure and NOx formation positions in each furnaces.

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A Development of Inflow Forecasting Models for Multi-Purpose Reservior (다목적 저수지 유입량의 예측모형)

  • Sim, Sun-Bo;Kim, Man-Sik;Han, Jae-Seok
    • Proceedings of the Korea Water Resources Association Conference
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    • 1992.07a
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    • pp.411-418
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    • 1992
  • The purpose of this study is to develop dynamic-stochastic models that can forecast the inflow into reservoir during low/drought periods and flood periods. For the formulation of the models, the discrete transfer function is utilized to construct the deterministic characteristics, and the ARIMA model is utilized to construct the stochastic characteristics of residuals. The stochastic variations and structures of time series on hydrological data are examined by employing the auto/cross covariance function and auto/cross correlation function. Also, general modeling processes and forecasting method are used the model building methods of Box and Jenkins. For the verifications and applications of the developed models, the Chungju multi-purpose reservoir which is located in the South Han river systems is selected. Input data required are the current and past reservoir inflow and Yungchun water levels. In order to transform the water level at Yungchon into streamflows, the water level-streamflows rating curves at low/drought periods and flood periods are estimated. The models are calibrated with the flood periods of 1988 and 1989 and hourly data for 1990 flood are analyzed. Also, for the low/drought periods, daily data of 1988 and 1989 are calibrated, and daily data for 1989 are analyzed.

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Modeling of 2-D Advection-Diffusion in Natural Streams Using Particle Discrete Probability Distribution Model (입자의 이산확률분포 모형을 이용한 자연하천의 2차원 이송-확산)

  • Kim, Yeong-Do;Seo, Il-Won
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.499-509
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    • 2001
  • 2-D transport model based on a discrete probability distribution for a particle displacement was developed too solve advection-diffusion problems in natural stream. In this proposed model, the probabilities expressed as an average and variance function were used to predict the mass transfer between cells in one time step. The proposed model produces solutions without numerical dispersion for constant velocity, diffusion coefficient, and cross-sectional area. When the stability and positivity restrictions were satisfied, the model produced excellent results compared to analytical solutions and other finite difference methods. The proposed model is tested against the dispersion data collected in the Grand River, Canada. The simulation results show that the proposed model can properly describe the two-dimensional mixing phenomena in the natural stream.

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A Parameter Estimation of Time Signal and Analysis of Low Frequency Oscillation in Power Systems (시간영역에서 파라미터 추정과 전력계통의 저주파진동 해석)

  • Shim Kwan-Shik;Nam Hae-Kon;Kim Yong-Gu
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.3
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    • pp.122-132
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    • 2005
  • This paper presents a novel approach based on Prony method to analysis of small signal stability in power system. Prony method is a valuable tool in identifying transfer function and estimating the modal parameter of power system oscillation from measured or computed discrete time signal. This paper define the relative residue of time signal and propose the condition to select low frequency oscillation in each generator. This paper describes the application results of proposed algorithm with respect to KEPCO systems. Simulation results show that the proposed algorithm can be used as another tools of power systems analysis.

DESIGN OF AN $H^{\infty}$ CONTROLLER WITH PREVIEW

  • Choi, Chintae;Kim, Jong-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.44-47
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    • 1996
  • An optimal preview controller based on the discrete-time $H_{.inf}$ control is presented. The preview controller is synthesized by considering the bounded unknwon disturbances as well as previewable commands and disturbances. The controller derivation procedure is analogous to the LQ-based scheme. The designed preview gain matrix has a similar structure as the LQ-based one. As the infinity norm .gamma. of the transfer function matrix tends to .inf., the preview gains obtained by $H_{\infty}$ control method approach to the gains by the LQR. The LQ-based preview gains are verified to be subsets of the $H_{.inf}$ -based preview gains..

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Input Time-Delay Compensation for a Nonlinear Control System

  • Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.395-400
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    • 2004
  • In most physical processes, the transfer function includes time-delay, and in the general distributed control system using computer network, there exists inherent time-delay caused by the spatial separation between controllers and actuators. This work deals with the synthesis of a discrete-time controller for a nonlinear system and proposes a new effective method to compensate the influence of input time-delay. The controller is synthesized by using input/output linearization. Under the circumstance that input time-delay exists, the system response has more overshoot and tends to diverge. For these reasons, the controller has to produce future input value that will be needed for the system. In order to calculate the future input value, some predictors are adopted. Using the discretization via Euler's method, numerical simulations about the Van der Pol system are performed to evaluate the performance of the proposed method.

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Design of a controller for input time-delay nonlinear system

  • Choi, Hyung-Jo;Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.548-552
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    • 2005
  • In most physical processes, the transfer function includes a time-delay, and in the general distributed control system using a computer network, an inherent time-delay exists due to the spatial separation between controllers and actuators. Under the circumstance where an input time-delay exits, the system response overshoots and tends to diverge. For this reasons described above, a controller design method is proposed for a discrete nonlinear system including input time-delay, which adopts the time-discretization using Taylor series. Controllers are synthesized using an input/output linearization method. Finally, several cases of the computer simulations were conducted, and the results validate the proposed methods.

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DIRECT ESTIMATION OF PHYSICAL PARAMETERS OF AN RLC ELECTRICAL CIRCUIT BY SIXTEEN CONTINUOUS-TIME METHODS

  • Mensler, M.;Wada, K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.526-526
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    • 2000
  • The present has a double objective. The first one is to compare and estimate sixteen continuous-time methods through the identificatiun of a system consisted with an RLC electrical circuit. These sixteen methods are classified into three groups that are the linear filters, the modulating functions and the integral methods. The second objective is to estimate directly the physical parameters of the RLC circuit, without resorting to a discrete-time model. The system is consisted of a coil with inductance L and resistance H, and of a capacitor with capacitance C. Having written the physical equations which describe the behavior of the system, the transfer function in where the initial conditions appear is given. These initial conditions should be taken into account during the parameter estimation phase, because they are inevitable within the framework of real signals. A physical interpretation of the identified models is tempted by the direct estimation of the physical parameters L and C. In conclusion, a classification of the studied methods is proposed.

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The Study of DVA used to Transfer Function (I) (전달함수를 이용한 동흡진기 설계에 대한 연구(I))

  • Choi, Joung-Hyun;Lim, Byoung-Duk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1457-1462
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    • 2003
  • The problem of reducing the level of vibrations in structures arises in various branches of technology. For the calculation of systems equipped with DVAs, the frequencies of the protected system's free vibrations are determined first. In most practical problems system have to be considered continuous systems. It is important to obtain the detailed information about not the first frequency and the mode but anothers corresponding to it. So, this paper describes the method to obtain the accurate information about the combined discrete system. This information is obtained from the combined system's receptance. This paper shows the convenience when design the dynamic vibration absorber with the combined system's receptance.