• Title/Summary/Keyword: Phase lag compensator

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Stability Criterion of Repetitive Control System Using Phase-Lead and Lag Compensator (진상,지상 보상기를 고려한 반복제어계의 안정성 판별)

  • 서진호;강병철;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.41-45
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    • 1997
  • To design a control system, it is a elementary point that the stability of the system should be guaranteed. Also, the phase of the system plays an important role for its frequence performance. In this paper, we present two stability criterion of repetitive control system with phase-lead and lag compensator. First, the stability criterion for the servo control system with phase-lead and lag compensator is shown by using small-gain theorem. Second, for the repetitive control system with the compensator, the stability criterion, also, is determined by using small-gain theorem. Two stability criterions show the same results that the stability depends on a coefficient of the phase-lead and lag compensator under some condition in servo control system and repetitive control system.

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A study on the compensator design of the quasi-resonant SMPS (유사공진형 SMPS의 보상기 설계에 관한 연구)

  • Lim, I.S.;Huh, U.Y.
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.720-725
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    • 1991
  • In this thesis, the lead-lag compensator is designed to improve output characteristics of flyback zero voltage switching quasi-resonant converters. The switch and the diode are assumed ideally. And the SMPS is modelled by state equations with four operation modes. And the model for controller design is also achived by using a state space averaging method, which is continuous time average of state variables every period. The lag, the lead and the lead-lag compensator is designed the SMPS respectively. The time domain analysis and the frequency domain analysis are done for each compensated circuit. It is possible increasing the phase margin and improving the transient response by the compensators. The phase lag compensator has small overshoot comparatively. But the bandwidth is narrower than the others, so it has longest settling time. For the phase lead compensator, the response come to steady-state within short period. But the overshoot is the largest due to its large peak gain. Finally, the phase lead-lag compensator has medium characteristics in the overshoot and the settling time.

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Roll/yaw controller design using double gimbaled momentum wheel (더블김벌 모멘텀휠을 이용한 롤/요 제어기 설계)

  • 박영웅;방효충
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1099-1102
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    • 1996
  • In this paper, roll/yaw attitude control of spacecraft using a double gimbaled wheel is discussed with two feedback controllers designed. One is a PD controller with no phase difference between roll and yaw control input. The other is a PD controller with a phase lag compensator about the yaw control input. The phase lag compensator is designed as a first order system and a lag parameter is designed for the yaw angle control. There are two case simulations for each controller ; constant disturbance torques and initial errors of nutation at motion. We obtain the results through simulations that steady-state error and rising time of yaw angle are determined by the compensator. Simulation parameters used in this study are the values of KOREASAT F1.

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Attitude Controller Design for a Bias Momentum Satellite with Double Gimbal (더블김벌을 장착한 바이어스 모멘텀 위성의 자세제어기 설계)

  • Park, Young-Woong;Bang, Hyo-Choong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.4
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    • pp.34-42
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    • 2004
  • In this paper, a double gimbal is used for roll/yaw attitude control of spacecraft and two feedback controllers are designed. One is a PD controller of no phase difference between roll and yaw control input. The other is a PD controller with a phase lag compensator about the yaw control input. The phase lag compensator is designed a first order system and a lag parameter is designed for the control of yaw angle. There are two case simulations for each of controllers; constant disturbance torques and initial errors of nutation. We obtain the results through simulations that a steady-state error and a rising time of yaw angle are developed by the compensator. In this paper, simulation parameters use the values of KOREASAT 1.

Control of a Flexible Link with Time Delays

  • Choi, Hyoun-Chul;Hong, Suk-Kyo
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1136-1141
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    • 2004
  • This paper presents a control method for time-delay systems and verifies the performance of the designed control system via real experiments. Specifically, the control method is applied to a flexible-link system with time delays. The method combines time- and frequency-domain controllers: linear quadratic optimal controller (or LQR) and lag compensator. The LQR is used to stabilize the system in optimal fashion, whereas the lag compensator is used to compensate time-delay effects by increasing the delay margin of the system. With this methodology, the maximum allowable time delay can be increased significantly. The proposed method is simple but quite practical for time-delay system control as it is based on the conventional loop-shaping method, which gives practical insights on delay-phase relationship. Simulation and experiment results show that the method presented in this paper is feasible and practical.

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Development of the Six Degree-of-Freedom Active Vibration Isolation System by Using a Phase Compensated Velocity Sensor (위상 보상된 속도 센서를 이용한 6자유도 능동 방진 시스템의 개발)

  • Kim, Yong-Dae;Kim, Sang-Yoo;Park, Kyi-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.11
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    • pp.1347-1352
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    • 2009
  • Magnetic force driven six degree-of-freedom active vibration isolation system is developed. The velocity sensor using an electromagnetic principle that is commonly used in the vibration control is investigated since its phase lead characteristic causes an instability problem for a low frequency vibration. A lag-type compensator is adopted to reduce the phase lead and the stability test is performed by using a Bode analysis. The performance of the AVIS is validated by comparing with the passive isolation system by using the frequency responses.

Compensator Design to Improve the Dynamic Performance of Piezoelectric Actuators (압전 구동 소자의 동적 성능 향상을 위한 보상기의 설계)

  • 문준희;강성범;박희재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.505-507
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    • 2004
  • This paper attempts to compensate the nonlinearity between the input voltage and the output displacement of the piezoelectric stack in dynamic actuation by the following two ways. Firstly, the charge steering by circuit configuration reduces the hysteresis of piezoelectric actuator remarkably. However, it makes the ripple in positioning due to the phase lag and noise induced from the elements of the long closed loop. Secondly, the feedforward control by neural network compensates the hysteresis of the piezoelectric actuators effectively with the appropriate selection of the input variables for the training. The improvement of the dynamic performance of the piezoelectric actuators by the developed linearization technique is verified by experiments.

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Collocation of Sensor and Actuator for Active Control of Sound and Vibration (능동음향진동제어를 위한 센서와 액추에이터의 동위치화 연구)

  • 이영섭
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.778-783
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    • 2003
  • The problem considered in this paper is about the collocation of sensor and actuator for the active control of sound and vibration. It is well-known that a point collocated sensor-actuator pair offers an unconditional stability with very high performance when it is used with a direct velocity feedback (DVFB) control, because the pair has strictly positive real (SPR) property. In order to utilize this SPR characteristics, a matched piezoelectric sensor and actuator pair is considered, but this pair suffers from the in-plane motion coupling problem with the out-of$.$plane motion due to the piezo sensor and actuator interaction. This coupling phnomenon limits the stability and performance of the matched pair with DVFB control. As a new alternative, a point sensor and piezoelectric actuator pair is also considered, which provides SPR property in all frequency range except at the first resonance in very low frequency. This non-SPR resonance could be minimized by applying a phase lag compensator.

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A New Control Strategy for a Three-Phase PWM Current-Source Rectifier in the Stationary Frame

  • Guo, Qiang;Liu, Heping;Zhang, Yi
    • Journal of Power Electronics
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    • v.15 no.4
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    • pp.994-1005
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    • 2015
  • This paper presents a novel power control strategy for PWM current-source rectifiers (CSRs) in the stationary frame based on the instantaneous power theory. In the proposed control strategy, a virtual resistance based on the capacitor voltage feedback is used to realize the active damping. In addition, the proportional resonant (PR) controller under the two-phase stationary coordinate is designed to track the ac reference current and to avoid the strong coupling brought about by the coordinate transformation. The limitations on improving steady-state performance of the PR controller is investigated and mitigated using a cascaded lead-lag compensator. In the z-domain, a straightforward procedure is developed to analyze and design the control-loop with the help of MATLAB/SISO software tools. In addition, robustness against parameter variations is analyzed. Finally, simulation and experimental results verify the proposed control scheme and design method.

Improved Programmable LPF Flux Estimator with Synchronous Angular Speed Error Compensator for Sensorless Control of Induction Motors (유도 전동기 센서리스 제어를 위한 동기 각속도 오차 보상기를 갖는 향상된 Programmable LPF 자속 추정기)

  • Lee, Sang-Soo;Park, Byoung-Gun;Kim, Rae-Young;Hyun, Dong-Seok
    • The Transactions of the Korean Institute of Power Electronics
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    • v.18 no.3
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    • pp.232-239
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    • 2013
  • This paper proposes an improved stator flux estimator through ensuring conventional PLPF to act as a pure integrator for sensorless control of induction motors. Conventional PLPF uses the estimated synchronous speed as a cut-off frequency and has the gain and phase compensators. The gain and phase compensators are determined on the assumption that the estimated synchronous angular speed is coincident with the real speed. Therefore, if the synchronous angular speed is not same as the real speed, the gain and phase compensation will not be appropriate. To overcome the problem of conventional PLPF, this paper analyzes the relationship between the synchronous speed error and the phase lag error of the stator flux. Based on the analysis, this paper proposes the synchronous speed error compensation scheme. To achieve a start-up without speed sensor, the current model is used as the stator flux estimator at the standstill. When the motor starts up, the current model should be switched into the voltage model. So a stable transition between the voltage model and the current model is required. This paper proposes the simple transition method which determines the initial values of the voltage model and the current model at the transition moment. The validity of the proposed schemes is proved through the simulation results and the experimental results.