• Title/Summary/Keyword: Stability error

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Discrete-Time Feedback Error Learning with PD Controller

  • Wongsura, Sirisak;Kongprawechnon, Waree
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1911-1916
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    • 2005
  • In this study, the basic motor control system had been investigated. The Discrete-Time Feedback Error Learning (DTFEL) method is used to control this system. This method is anologous to the original continuous-time version Feedback Error Learning(FEL) control which is proposed as a control model of cerebellum in the field of computational neuroscience. The DTFEL controller consists of two main parts, a feedforward controller part and a feedback controller part. Each part will deals with different control problems. The feedback controller deals with robustness and stability, while the feedforward controller deals with response speed. The feedforward controller, used to solve the tracking control problem, is adaptable. To make such the tracking perfect, the adaptive law is designed so that the feedforward controller becomes an inverse system of the controlled plant. The novelty of FEL method lies in its use of feedback error as a teaching signal for learning the inverse model. The PD control theory is selected to be applied in the feedback part to guarantee the stability and solve the robust stabilization problems. The simulation of each individual part and the integrated one are taken to clarify the study.

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Time-Error Prediction of Rubidium Atomic Clock according to the Elapsed Time (루비듐 원자시계의 경과시간에 따른 시간오차 예측)

  • 김영범;정낙삼;박동철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.3
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    • pp.439-445
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    • 2001
  • In this paper, we propose a method that can minimize time-error when a commercial rubidium atomic clock is used as a portable reference clock. A linear interpolation method which was widely used is not based upon long-term stability, but our new method is considered to reduce time error. The comparison results between two method have shown that time error of our new approach considering with long-term stability is better than that of linear interpolation method within observation duration about one and half days. In addition, when the role of a rubidium atomic clock as a portable reference clock is completed within 12 hours, our new method can provide at most maximum time-error of 10 ns which is shorter than 15 ns in conventional method.

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Design of $H_{\infty}$ Controller for Underwater Vehicle and Nonlinear Simulation (수중운동체에 대한 $H_{\infty}$ 제어기 설계와 비선형 시뮬레이션)

  • 전찬식;김종해박홍배
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.215-218
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    • 1998
  • In this paper, we design the $H_{\infty}$ controllers satisfying robust stability and performance for underwater vehicle. The underwater vehicle has computations delay time and input delay. In addition, there exist parameter uncertainties by the roll motion coefficient error, buoyance error, and gravity error. We design the $H_{\infty}$ controllers using model-matching method and check the performance of the proposed controller by nonlinear simulation which includes time delay model, sensor error model, and actuator model.

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A Design on Multivariable Controller for Industrial Robot Manipulators (산업용 로봇 매니퓰레이터의 다변수 제어기 설계)

  • 한상완;홍석교
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.636-643
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    • 1998
  • This paper is presents multivariable control scheme for industrial robot manipulators. The control scheme consists of two loops. The modeling error between linearized robot model and actual robot model is compensated in error compensation loop. The PID control loop is designed for pole assignment to stability of robot system and utilized for trajectory tracking. Alternatively computer simulation results are given for illustration purpose of suggested controller.

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Analysis of Limitation Factor Effects on Digital PID Controller(II) : Finite Wordlength Issue (디지털 PID 제어기의 제한 요소 영향 분석(II):유한 단어 길이 문)

  • 홍석민;김인중;이상정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.2
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    • pp.318-329
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    • 1994
  • This paper deals with the finite wordlength effect on the performance of digital PID controllers. The finite wordlength, one of the major limitation factors in digital controllers, results on two kinds of quantization error : the signal quantization error and the coefficient quantization error. This paper derives the variance of the plant output due to the signal quantization error. Using stability margins as performance criterion, the statistical wordlength concept is adopted for coefficient wordlength selection. Finally, the experimental results exhibit satisfactory performance of the digital PID controller with statistical coefficient wordlength.

Consideration to the Stability of FLC using The Circle Criterion (Circle Criterion을 이용한 FLC의 안정도에 대한 고찰)

  • Lee, Kyoung-Woong;Choi, Han-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.5
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    • pp.525-529
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    • 2009
  • Most of FLC received input data from error e and change-of-error e' with no relation with system complexity. Basic scheme follows typical PD and PI or PID Controller and that has been developed through fixed ME In this paper, We studied the relationship between MF and system response and system response through changing Fuzzy variable of consequence MF and propose the simple FLC using this relationship. The response of FLC is changed according to the width of Fuzzy variable of consequence MF. As changing the Fuzzy variable of consequence MF shows various nonlinear characteristic, we studied the relation between response and MF using analytical method. We designed the effective FLC using three-variable MF and nine rules and took simulation for verification. In this study, we propose the method to design system with FLC in stability point which is an impotent characteristic of designing system. The circle criterion which is adapted to analysis the nonlinear system is put to use for proposed method. Since SISO FLC has a time-invariant and odd characteristic we can use the critical point not disk which is generally used to determine the stability in the circle criterion, to determine the stability. Using this, we can get the maximum critical point plot of SISO FLC with changing the consequence fuzzy variables. The predetermined critical point plot of FLC can be used to decide the region of the system to be stable. This method is effectively used to design the SISO FLC.

Reliability Analysis of Slope Stability with Sampling Related Uncertainty (통계오차를 고려한 사면안정 신뢰성 해석)

  • Kim, Jin-Man
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.51-59
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    • 2007
  • A reliability-based approach that can systematically model various sources of uncertainty is presented in the context of slope stability. Expressions for characterization of soil properties are developed in order to incorporate sampling errors, spatial variability and its effect of spatial averaging. Reliability analyses of slope stability with different statistical representations of soil properties show that the incorporation of sampling error, spatial correlation, and conditional simulation leads to significantly lower probability of failure than that obtained by using simple random variable approach. The results strongly suggest that the spatial variability and sampling error have to be properly incorporated in slope stability analysis.

Repetitive Controller Design for a Robust Feedback Control System (강인한 궤환 제어 시스템을 위한 반복 제어기의 설계)

  • Kim, Kwang-Soo;Doh, Tae-Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.7
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    • pp.668-673
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    • 2010
  • Given a periodic reference signal or disturbance, repetitive control is a special control scheme to reduce a tracking error effectively by the periodic signal generator in the repetitive controller. In general, a repetitive controller is added on the existing feedback control system to improve the tracking performance. However, because the information used in the design of the feedback controller is not taken into account, the design problem of the repetitive controller is totally another problem irrespective of that of the feedback controller. In this paper, we present a more general method to design an add-on type repetitive controller using the information on the performance of the existing feedback control system. We first show that a robust stability condition of repetitive control systems is obtained using the well-known robust performance condition of general feedback control systems. It is also shown that we can obtain a steady-state tracking error described in a simple form without time-delay element if the robust stability condition is satisfied for the repetitive control system. From the obtained results, several design criterions for repetitive controller are provided. Through the simulation study, the feasibility of the proposed method is verified.

Implementation of Digital Signal Processing Board Suitable for a Semi-active Laser Tracking to Detect a Laser Pulse Repetition Frequency and Optimization of a Target Coordinates (반능동형 레이저 유도 추적에 적합한 레이저 펄스 반복 주파수 검출을 위한 디지털 신호처리 보드 구현 및 표적 좌표 최적화)

  • Lee, Young-Ju;Kim, Yong-Pyung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.4
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    • pp.573-577
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    • 2015
  • In this paper, we propose a signal processing board suitable for a semi-active laser tracking to detect an optical signal generated from the laser target designator by applying an analog trigger signal, the quadrant photodetector and a high speed ADC(analog-digital converter) sampling technique. We improved the stability by applying the averaging method to minimize the measurement error of a gaussian pulse. To evaluate the performances of the proposed methods, we implemented a prototype board and performed experiments. As a result, we implemented a frequency counter with an error 14.9ns in 50ms. PRF error code has a stability of less than 1.5% compared to the NATO standard. Applying the three point averaging method to ADC sampling, the stability of 28% in X-axis and 22% in Y-axis than one point sampling was improved.

Implementation of the robust speed control system for DC servo motor using TDF compensator method (2자유도 보상법에 의한 직류서보전동기의 강인한 속도제어시스템 구현)

  • Kim, Dong-Wan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.52 no.2
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    • pp.74-80
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    • 2003
  • In this paper, a robust two-degree-of-freedom(TDF) the speed control system using $H_{\infty}$ optimization method and real genetic algorithm is proposed for the robust stability and the robust performance in dc servo motor system. This control system composed of feedback and feedforward controller. The feedback(FB) controller with $H_{\infty}$ optimization method is designed for real genetic algorithm that is model matching problem using mixed sensitivity function. The feedforward(FF) controller with $H_{\infty}$optimization method is minimized the error between transfer function of the optimal model and the overall transfer function. The proposed robust two-degree-of-freedom speed control system is simulated to the dc servo motor. By the simulation, feedback controller can obtain the robust stability property and feedforward controller can obtain the robust performance property under modelling error. The performance of the dc servo motor is analyzed by the experiment setting. The validity of the proposed method is verified through being compared with pid(proportional integrated differential)control system design method for the dc servo motor.