• Title/Summary/Keyword: Steady state error

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Extended Integral Control with the PI Controller (확장적분 제어개념을 도입한 PI 제어기에 관한 연구)

  • Ryu, Heon-Su;Jeong, Gi-Yeong;Song, Gyeong-Bin;Mun, Yeong-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.7
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    • pp.345-349
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    • 2000
  • This paper presents an extended integral control with the PI controller by introducing the delay and decaying factors. The extended integral control scheme is developed by substituting the proportional convolution integral control for the PI(Proportional Integral) control. So far, the integral part of PI controller produces a signal that is proportional to the time integral of the input signal to the controller. The steady-state operation points are affected forever by errors in the past due to the input signal containing the information of the error in the past. These phenomena may cause some disturbances for other control purposes related to the given PI control. Introduction of forgetting factors to the error in the past can resolve the disturbance problems. Various forgetting factors are developed using the delay elements, the decaying factors, and the combination of the delay and decaying factors. The proposed various extended integral control schemes can be applicable to the corresponding PI control designs in which the error in the past may badly affect the current steady-state operation points and may cause some disturbances for other control purposes.

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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.

The Effect of Transformer Leakage Inductance on the Steady State Performance of Push-pull based Converter with Continuous Current

  • Chen, Qian;Zheng, Trillion Q.;Li, Yan;Shao, Tiancong
    • Journal of Power Electronics
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    • v.13 no.3
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    • pp.349-361
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    • 2013
  • As a result of the advantages such as high efficiency, continuous current and high stability margin, push-pull converter with continuous current (PPCWCC) is competitive for battery discharge regulator (BDR) which plays an important role in power conditioning unit (PCU). Leakage inductance yields current spike in low-ripple current of PPCWCCs. The operating modes are added due to leakage inductance. Therefore the steady state performance is affected, which is embodied in the spike of low-ripple current. PPCWCCs which are suitable for BDR can be separated into three types by current spike characteristics. Three representative topologies IIs1, IIcb2 and Is3 are analyzed in order to investigate the factors on the magnitude and duration of spike. Equivalent current sampling method (ECSM) which eliminates the sampling time delay and achieves excellent dynamic performance is adopted to prevent the spike disturbance on current sampling. However, ECSM reduces the sampling accuracy and telemetry accuracy due to neglecting the spike. In this paper, ECSM used in PPCWCCs is summarized. The current sampling error is analyzed in quality and quantity, which provides the foundation for offsetting and enhancing the telemetry accuracy. Finally, current sampling error rate of three topologies is compared by experiment results, which verify the theoretical analysis.

A Stop-and-Go Dual-Mode Modified Constant Modulus Algorithm for Adaptive Blind Equalization of High-Order QAM Signals (고밀도 광 기록 채널을 위한 터보 코드와 터보 등화기를 연접한 데이터 복호 방법)

  • 임창현;김기윤;김동규;최형진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.6B
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    • pp.1074-1081
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    • 2000
  • In this paper, in order to speed up the convergence process and improve the steady mean square error simultaneously, we propose the Stop-and-Go Dual Mode Modified Constant Modulus Algorithm(SAG DM MCMA) for adaptive blind channel equalization of high order QAM. The proposed algorithm is a hybrid scheme of the Modified CMA that treat error signals with real and imaginary components of the equalizer output, the concept of dual mode CMA, and Stop-and-Go algorithm. As a result it can prevent blind equalization from converging to incorrect direction and simultaneously operates reliably for tap weight adaptation. We demonstrate via simulation that the proposed algorithm achieves lower steady state mean square error and residual ISI than the conventional algorithms under high order QAM signals and severe channel environment.

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Error Analysis of Initial Fine Alignment for Non-leveling INS (경사각을 갖는 관성항법시스템 초기 정밀정렬의 오차 분석)

  • Cho, Seong-Yun
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.6
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    • pp.595-602
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    • 2008
  • In this paper, performance of the initial alignment for INS whose attitude is not leveled is investigated. Observability of the initial alignment filter is analyzed and estimation errors of the estimated state variables are derived. First, the observability is analyzed using the rank test of observability matrix and the normalized error covariance of the Kalman filter based on the 10-state model. In result, it can be seen that the accelerometer biases on horizontal axes are unobservable. Second, the steady-state estimation errors of the state variables are derived using the observability equation. It is verified that the estimates of the state variables have errors due to the unobservable state variables and the non-leveling tilt angles of a vehicle containing the INS. Especially, this paper shows that the larger the tilt angles of the vehicle are, the larger the estimation errors corresponding to the sensor biases are. Finally, it is shown that the performance of the 8-state model excepting the accelerometer biases on horizontal axes is better than that of the 10-state model in the initial alignment by simulation.

Simulation of non-steady state oxygen transfer caused by microbubble supply (비정상상태의 미세기포에 의한 산소 전달 특성 모사)

  • Lee, Jaiyeop;Kim, Ilho
    • Journal of Korean Society of Water and Wastewater
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    • v.32 no.5
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    • pp.381-388
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    • 2018
  • Microbubbles oxygen transfer to water was simulated based on experimental results obtained from the bubbles generation operated under varying liquid supply velocity to the multi-step orifices of the generator. It had been known that liquid supply velocity and bubble size are inversely related. In the oxygen transfer, a non-steady state was assumed and the pseudo stagnation caused the slow movement of bubbles from the bottom to the water surface. Two parameters were considered for the simulation: They represent a factor to correct the pseudo stagnation state and a scale which represented the amount of bubbles in supply versus time. The sum of absolute error determined by fitting regression to the experimental results was comparable to that of the American Society of Civil Engineers (ASCE) model, which is based on concentration differential as the driving force. Hence, considering the bubbles formation factors, the simulation process has the potential to be easily used for applications by introducing two parameters in the assumptions. Compared with the ASCE model, the simulation method reproduced the experimental results well by detailed conditions.

The construction of fuzzy controller for DC servo motor position control (퍼지이론을 이용한 DC 모타의 위치 제어기 구성)

  • 전영수;김정도;정동근;이택종
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.658-663
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    • 1992
  • In this paper, the control of a DC servo motor position control is implemented with fuzzy controller using IBM PC AT. In addition to the fuzzy controller with the error and change of error inputs PI controller is applied as well to improve the steady state error response. It shows the above configuration results in a good control characteristics.

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Performance Analysis of Double-layered ARQ

  • Uhm, Yong-Hun;Park, Cheon-Won
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.85-88
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    • 2001
  • In this paper, we propose a retransmission based error control scheme in which a stop-and-wait ARQ is simultaneously performed in two adjacent layers for the node-to-node error control. We develop an analytical numerical method to calculate the probability of error remains and the moments of the high layer message delay time at steady state. Using the analytical method, we investigate the performance of double-layered ARQ scheme with respect to the properties of the employed CRC codes and the characteristics of the involved channel.

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Study on the Error Estimation of Time-step Analysis for a Problem with Eddy Current (와전류를 포함하는 시간차분 해석의 계산오차에 대한 연구)

  • Choi, Myoung-Hyun;Kim, Byung-Taek
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.854-855
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    • 2008
  • This paper deals with the computation error produced in the time step analysis for a electric machine with eddy current. To investigate the error in quantity, the analytic equations representing the steady state results of time-step analysis are deduced. Using the equations, the characteristics of errors are calculated for a general electric circuit, with variation of the circuit parameters and step size.

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A digital Controller Design to Improve Steady-State characteristics (전상상태 특성을 개선한 디지털 제어기 설계)

  • Kim, Yeong-Gil;Park, Mi-Yong;Lee, Sang-Bae
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.6
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    • pp.1-6
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    • 1985
  • The reference input is one of causes having an effect upon the steady-state error. This paper dcscribes a design method of a digital controller to remove the stcadyftate error caused by the reference input. According to the types of the reference input, new system equations to remove the reference input term from controlled system equations are derived first. And, using the optimal control theory the control law is obtained to minimize the output of the new system. Based on the state-space approach, the proposed control algo-rithm can be applied to time-invariant linear systems including the unstable systems.

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