• Title/Summary/Keyword: ITAE index

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Speed Controller Design of a Two-Inertia Motor System Using Weighted ITAE Index (가중 ITAE 지수를 사용한 2관성 모터시스템의 속도제어기 설계)

  • Park, Jung-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.581-589
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    • 2009
  • In a two-inertia motor system with flexible shaft, a torsional vibration is often generated as a quick speed response is required. This vibration makes it difficult to achieve a quick response of speed and disturbance rejection. The objective of this paper is to provide a systematic analysis and design of the three kinds of speed controllers such as I-P, I-PD, and state feedback control by using the weighted ITAE performance index. Some simulation and experiment results verify the effectiveness of the proposed design.

Model Identification and Design of Optimized IMC-Cascade Controller (모델 동정과 최적의 IMC-Cascade 제어기 설계)

  • Cho, Joon-Ho;Cho, Hyun-Seob;Hwang, Hyung-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.12
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    • pp.6027-6033
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    • 2012
  • In this paper, we proposed to model identification in frequency domain using relay feedback and Design of internal model controller(IMC) with Cascade controller. The parameters of controller in the inner loop are determined to minimize the integral of time multiplied by the absolute value of error (ITAE) value of performance Index. The controller of outer loop and parameters of IMC-PID controller can be obtain using identified model. The model identification is considered that it is the transient response and the steady-state response through the use of nyquist curve. Simulation examples are given to show the better performance of the proposed method than conventional methods.

Two-Degree-of-Freedom Speed Control of Two-Mass System using Optimal Pole Assignment Method (최적 극배치 기법을 이용한 2관성 공진계의 2자유도 속도제어)

  • Jeon, Don-Su;Kim, Dong-Hwa
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.1
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    • pp.18-25
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    • 2000
  • In the two-mass servo system driving a load through a flexible shaft, a shaft torsional vibration is often generated. PI controller has been generally used is speed control of such system because of the simplicity of structure and related theory. This paper presents the inertia ratio of the PI servo control system which can be designed by using optimal pole assignment method is fixed. Therefore, it's difficult to obtain the desired control characteristics for different systems only by PI control algorithm. To solve this problems the two-mass speed control system with PID controller is designed by using pole assignment method and an optimum PID parameters are derived by evaluating ITAE(Integral of time multiplied by the absolute error) performance index. But this design method has some problems due to a trade-off between the fast command following property and the attenuation of disturbances and vibrations. In this paper, 2-DOF PID control method which satisfies the command following property, the reduction of overshoot and the property of disturbance rejection at the same time is proposed. This is a practical speed controller using the desired value filter and the feedforward gain. From several simulations, it's clarified that the proposed 2-DOF PID controller is useful for the two-mass system, in comparison with the conventional PID controller.

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Optimun number of Fuzzy Labeling and Control Performance for Fuzzy Control.

  • Kankubo, Kouichi;Murakami, Shuta
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1191-1194
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    • 1993
  • We consider a fuzzy controller corresponding to PI controller. This controller is applied to a controlled object which is a first order lag system with dead time. An antecedent part is divided into 3, 5, and 7 parts ( membership function of triangle shape ), and a consequent part into 3, 5, and 7 parts ( membership function of singleton ). In each combination of an antecedent part and a consequent one. We compare control efficiency under the performance criteria such that the overshoot is kept 20% and the ITAE index is minimized.

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Two-Parameter Optimization of CANDU Reactor Power Controller

  • Park, Jong-Woon-;Kim, Sung-Bae-
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1994.11a
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    • pp.146-149
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    • 1994
  • A nonlinear dynamic optimization has been performed for reactor power control system of CANDU 6 nuclear power plant considering xenon, fuel and moderator temperature feedback effects. Integral-of-Time-multiplied Absolute-Error (ITAE) criterion has been used as a performance index of the system behavior. Optimum controller gain are found by searching algorithm of Sequential Quadratic Programming (SQP). System models are referenced from most recent literatures. Signal flow network construction and optimization have been done by using commercial computer software package.

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Auto - tuning of PID Controllers with IMC Structure (IMC 구조를 갖는 PID 제어기의 자동 동조)

  • Cho, Joon-Ho;Hwang, Hyung-Soo
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.3
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    • pp.8-14
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    • 2009
  • In this paper, it is proposed that the design of the PID controller with the internal model control structure for improved performance. Internal model was identification that is second-order plus dead time structure using final-value theorem and genetic algorithm The parameters of Controller are determined to minimize IAE(Integral of the Absolute value of the Error) and ITAE(Integral of the Time multiplied by the Absolute value of the Error) of performance index by internal model and numerical method. Simulation examples are given to show the better performance of the proposed method than conventional methods.

Optimal design of PID controllers including Smith predictor structure by the model identification (모델 동정에 의한 Smith predictor 구조를 갖는 최적의 PID 제어기 설계)

  • Cho, Joon-Ho;Hwang, Hyung-Soo
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.1
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    • pp.25-32
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    • 2007
  • In this paper, a new method for first order plus dead time(FOPDT) model identification is proposed, which can identity multiple points on a process step response in terms of classification of time response. The process input and output to the test are decomposed into the transient part and the steady-state part. The steady-state part express one FOPDT model and the transient part express variously FOPDT model using least square estimation method. The optimum parameter tuning algorithm for PID controller of the Smith Predictor is proposed through ITAE as performance index. The Simulation results show the validity and improvement of performance for various processes.

Control of a pressurized light-water nuclear reactor two-point kinetics model with the performance index-oriented PSO

  • Mousakazemi, Seyed Mohammad Hossein
    • Nuclear Engineering and Technology
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    • v.53 no.8
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    • pp.2556-2563
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    • 2021
  • Metaheuristic algorithms can work well in solving or optimizing problems, especially those that require approximation or do not have a good analytical solution. Particle swarm optimization (PSO) is one of these algorithms. The response quality of these algorithms depends on the objective function and its regulated parameters. The nonlinear nature of the pressurized light-water nuclear reactor (PWR) dynamics is a significant target for PSO. The two-point kinetics model of this type of reactor is used because of fission products properties. The proportional-integral-derivative (PID) controller is intended to control the power level of the PWR at a short-time transient. The absolute error (IAE), integral of square error (ISE), integral of time-absolute error (ITAE), and integral of time-square error (ITSE) objective functions have been used as performance indexes to tune the PID gains with PSO. The optimization results with each of them are evaluated with the number of function evaluations (NFE). All performance indexes achieve good results with differences in the rate of over/under-shoot or convergence rate of the cost function, in the desired time domain.

Study on Following of Parmeter ${\alpha}$ of 2-DOF PID Controller Using Fuzzy Algorithm

  • Lee, Sang-Min;Cho, Yong-Sung;Park, Jong-Oh;Choo, Yeon-Gyu;Lim, Young-Do
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.307-311
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    • 2003
  • 2-mass system is generally used as controller of the variable-speed to transfer electromotion power to mechanical load such as industrial robot, driving parts of electric vehicle, rolling machine system of steel plant and driving parts of elevator. In this case, PI controller is often used as a velocity controller because of simplicity of system. But PI control algorithm is not enough for obtaining the control characteristics required for this system. To solve this problem, 2-mass system based on the PID controller derives the optimum PID parameters by pole assignment and estimation of the ITAE performance index. In this case, the system have tenacious properties about disturbance, but it causes extreme overshoot and vibration because of rapidly output of controller in early transient response about desired value. And if speed control system is applied by 2-DOF parameter ${\alpha}$, a temporary value, we must induce most suitable parameter by complicate pole assignment and estimation of the ITAE performance index whenever ${\alpha}$ changes. In this paper, to solve this problem we suggest control algorithm to followed exactly value of ${\alpha}$ as 2-DOF parameter by using fuzzy algorithm . So, intelligence algorithm modeled by human knowledge, experience, teachability and judgment follow exact ${\alpha}$ value and it can compose the efficient 2-DOF PID controller to improve following performance, overshoot decrease.

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Proposal of Practical Reference-Model and It's Performance Improvement for PID Control (PID제어를 위한 실용적인 기준 모델 제안과 성능개선)

  • Hur, J.G.;Yang, K.U.
    • Journal of Power System Engineering
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    • v.11 no.3
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    • pp.66-72
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    • 2007
  • This study proposed new method to decide the reference model necessary for design PID controller. In generally, control design problems using the reference model have the following two factors. One factor is that numerical model of the controlled system can be obtained extremely, and the other is that specification for the closed-loop dynamic performance is pure moderate. Therefore, the control design procedure is essentially based on the partial reference model matching which offers a reasonable method to simplify the design and the controller configuration under the controlled system uncertainty. ITAE(Integral of time-multiplied absolute error) performance index and Kitamori method etc. which were used a reference model method had a limit to settling time and rising time of reference model that it arrived to steady state response according to the controlled system. On this study, if it only knew peak time of overshoot and settling time by measurement signal of the controlled system, it can be made the reference model easily. We proposed new method to improve performance index of the reference model superior to existing reference model index and illustrate the numerical simulation results to show the effectiveness of proposed control method design.

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