• Title/Summary/Keyword: Integral Time Absolute Error

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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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GA-Based Design of a Nonlinear PID Controller and Application to a CSTR Process (GA 기반의 비선형 PID 제어기 설계 및 CSTR 프로세스에 응용)

  • Lee, Joo-Yeon;So, Gun-Baek;Lee, Yun-Hyung;So, Myung-Ok;Jin, Gang-Gyoo
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.6
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    • pp.633-641
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    • 2015
  • Several complex processes that are employed in industries, such as shipping, power plants, and the petrochemical industry, involve time-varying behavior as well as strong nonlinear behavior during operation. The fixed-parameter proportional-integral-derivative (PID) controllers have difficulty in dealing with control problems that occur in such processes. In this paper, we propose a method of designing a nonlinear PID controller for industrial processes that exhibit a large number of nonlinearities and time-varying behavior. The gains of the nonlinear PID controller are characterized by a simple nonlinear function of the error and/or error rate depending on the process set-point and output. We tune the user-defined parameters using a genetic algorithm by minimizing the integral of time absolute error (ITAE) index. We verify the effectiveness of the proposed method by performing a comparison of the proposed method and two other nonlinear and adaptive methods that are employed for reference tracking, disturbance-rejection performances, and robustness to parameter changes on a continuously stirred tank reactor.

Design of an RCGA-based Linear Active Disturbance Rejection Controller for Ship Heading Control

  • Ahn, Jong-Kap;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.44 no.5
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    • pp.423-429
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    • 2020
  • A ship's automatic steering system is the basis for addressing control difficulties related to course-changing and course-keeping during navigation through heading angle control, and is a link in realizing unmanned and autonomous ships. This study proposes a robust RCGA-based linear active disturbance rejection controller (LADRC) design method considering environmental disturbances, measurement noise, and model uncertainties in designing a ship heading controller for use when the ship is sailing. The LADRC consisted of a transient profile, a linear extended state observer, and a PD controller. The control gains in the LADRC with the linear extended state observer were adjusted by RCGAs to minimize the integral of the time-weighted absolute error (ITAE), which is an evaluation function of the control system. The proposed method was applied to ship heading control, and its effectiveness was validated by comparing the propulsive energy loss between the proposed method and a conventional linear PD controller. The simulation results showed that the proposed method had the advantages of lower propulsive energy loss, more robustness, and higher tracking precision than the conventional linear PD controller.

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.

Study of the Constant Current Fuzzy Control System Design using CRS Algorithm during Inverter DC Resistance Spot Welding Process (인버터 DC 저항점용접 공정에서 CRS 알고리즘을 이용한 정전류 퍼지 제어시스템 설계에 관한 연구)

  • Park, Hyoung-Jin;Park, Pyeong-Won;Yu, Ji-Young;Kim, Dong-Cheol;Kang, Mun-Jin;Rhee, Se-Hun
    • Journal of Welding and Joining
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    • v.28 no.6
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    • pp.76-83
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    • 2010
  • The purpose of this study is to propose a method to decide near-optimal settings of the constant current fuzzy control parameters using a controlled random search. This method tries to find the near-optimal settings of the constant current fuzzy control parameters through experiments. It has an advantage of being able to carry out searches in the search domain which includes some irregular points. The method suggested in this study was used to determine the fuzzy control parameters by which the desired welding current were formed during inverter DC resistance spot welding. The output variable was the ITAE (integral of time multiplied by the absolute error). This output variable was determined according to the input variables, which are the GE, GDE, and GDU. This study described how to obtained near-optimal welding current condition over a wide search space conducting a relatively small number of experiments.

Control Algorithm Characteristic Study of Cooling System for Automotive Fuel Cell Application. (차량용 연료전지 냉각시스템 제어 알고리즘 특성 연구)

  • Han, Jae Young;Park, Ji Soo;Yu, Sangseok
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.1
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    • pp.39-45
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    • 2016
  • Thermal management of a fuel cell is important to satisfy the requirements of durability and efficiency under varying load conditions. In this study, a linear state feedback controller was designed to maintain the temperature within operating conditions. Due to the nonlinearity of automotive fuel cell system, the state feedback controller results in marginal stable under load condition from $0.5A/cm^2$ to $0.7A/cm^2$. A PWM (Pulse Width Modulation) and the modified state feedback controller are applied to control the temperature under the load condition from $0.5A/cm^2$ to $0.7A/cm^2$. The cooling system model is composed of a reservoir, radiator, bypass valve, fan, and a water pump. The performance of the control algorithm was evaluated in terms of the integral time weighted absolute error (ITAE). Additionally, MATLAB/SIMULINK$^{(R)}$ was used for the development of the system models and controllers. The modified state feedback controller was found to be more effective for controlling temperature than other algorithms when tested under low load conditions.

PID Control of a Shell and Tube Heat Exchanger System Incorporating Feedforward Control and Anti-windup Techniques (피드포워드 제어와 안티와인드업 기법을 결합한 셀-튜브 열교환기 시스템의 PID 제어)

  • Ahn, Jong-Kap;So, Gun-Baek;Lee, Ju-Yeon;Lee, Yun-Hyung;So, Myong-Ok;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.5
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    • pp.543-550
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    • 2014
  • In many industrial processes and operations, such as power plants, petrochemical industries and ships, shell and tube heat exchangers are widely used and probably applicable for a wide range of operating temperatures. The main purpose of a heat exchanger is to transfer heat between two or more medium with temperature differences. Heat exchangers are highly nonlinear, time-varying and show time lag behavior during operation. The temperature control of such processes has been challenging for control engineers and a variety of forms of PID controllers have been proposed to guarantee better performance. In this paper, a scheme to control the outlet temperature of a shell and tube heat exchanger system that combines the PID controller with feedforward control and anti-windup techniques is presented. A genetic algorithm is used to tune the parameters of the PID controller with anti-windup and the feedforward controller by minimizing the IAE (Integral of Absolute Error). Simulation works are performed to study the performance of the proposed method when applied to the process.

EA-Based Tuning of the PID Controller for a CSTR (CSTR용 PID 제어기의 EA 기반 동조)

  • Jin, Gang-Gyoo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.3
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    • pp.330-336
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    • 2014
  • Many industrial processes such as continuous stirred tank reactors(CSTRs), desalination plant, distillation columns, pH neutralization processes and so on exhibit highly nonlinear characteristic and time-varying behavior during operation. The control of such processes has been challenging to control engineers. Hence, a variety of forms of PID controllers and their tuning rules for industrial processes have been developed to guarantee the best performance. In this paper, a scheme that designs the practical PID controller with an anti-windup strategy incorporating with an evolutionary algorithm(EA) is presented for the concentration control of a nonisothermal CSTR. EA is used to tune the parameters of the overall PID control process with anti-windup by minimizing the integral of absolute error(IAE). Simulation works for reference tracking and disturbance rejecting performances and robustness to parameter changes show the feasibility of using the proposed method.