• Title/Summary/Keyword: LQ Feedback Controller

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Multivariable Control of Cold-Rolling Mills with Roll Eccentricity (롤편심을 포함한 냉간압연 시스템의 다변수 제어)

  • Kim, Jong-Sik;Kim, Seung-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.502-510
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    • 1997
  • A disturbance rejection controller using eccentricity filtering and LQ control techniques is proposed to alleviate the effecto of major roll eccentricity in multivariable cold-rolling processes. Fundamental problems in multivariable cold-rolling processes such as process time delay inherent in exit thickness measurement and non-stationary characteristics of roll eccentricity signals can be overcome by the proposed control method. The filtered instantaneous estimate of roll eccentricity may be exploited to improve instantaneous estimate of the exit thickness variation based on roll force and roll gap measurements, and a feedforward compensator is augmented as a reference for a gaugemeter thickness estimator. LQ feedback controller is combined with eccentricity filter for the attenuation of the exit thickness variation due to the entry thickness variation. The simulation results show that the roll eccentricity disturbance is significantly eliminated and other disturbances also are attenuated.

The Robust Control of Two Mass Spring System (2관성 공진 시스템의 강건제어)

  • 조도현;이종용;이상철
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.35T no.3
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    • pp.76-86
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    • 1998
  • The Two-Mass Spring(TMS or Two-Inertia Resonance) system is one of the simplest models which generate a torsional vibration. In this system, it is required to design a controller achieving the control performance while suppressing the torsional vibration. In this paper, we compared and considered with the state feedback effects for the TMS system. By connecting each controller design to the state feedback control, we could predict each controller performances and decide weighting functions and parameters of LQ and $H_\infty$ controller.

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LQ-servo method for non-minimum phase plants (비최소 위상 플랜트에서 LQ-servo 방법)

  • 서병설;장태우
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.3
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    • pp.9-16
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    • 1996
  • LQ-servo is a robustness guaranteed multivariable controller design method based on the LQR structure to improve command following with output feedback. in this paper we introduce a weighting factor on the low frequency part of the state weighting matrix in the performance index in order to increase the low frequency gain of loop transfer function matrix T(s) in the loop shaping design method.

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A Study on the LQG Precision Tension Control of a Dancer System for a Production of Printed Electronics in Roll-to-roll Systems (Roll-to-roll 시스템에서 인쇄전자 생산을 위한 댄서 시스템의 LQG 정밀 장력 제어에 대한 연구)

  • Seong, Jin-Woo;Kang, Hyun-Kyoo;Shin, Kee-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.10
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    • pp.65-73
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    • 2009
  • For mass production of printed electronics in roll-to-roll fashion, precision tension control is important to reduce register errors. Register error should be minimized within several to tens of microns for many electronic devices to be manufactured through printing technology. In order to achieve this goal, tension disturbance must be attenuated before printing process within a certain range. In this paper, a certain tension range which allows maintaining register error within 10 micron was defined with specific operating conditions. A LQG controller was proposed instead of the conventional PI controller for precision tension control using a multivariable feedback. A guideline to determine design parameters for calculating LQ gain was proposed. The proposed LQG controller was compared to both PI controller and LQ regulator with white noise by numerical simulations. Results showed that the proposed LQG controller was effective for attenuating tension disturbance with white noise.

A controller design using modal decomposition of matrix pencil

  • Shibasato, Koki;Shiotsuki, Tetsuo;Kawaji, Shigeyasu
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.492-492
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    • 2000
  • This paper proposes LQ optimal controller design method based on the modal decomposition. Here, the design problem of linear time-invariant systems is considered by using pencil model. The mathematical model based on matrix pencil is one of the most general representation of the system. By adding some conditions the model can be reduced to traditional system models. In pencil model, the state feedback is considered as an algebraic constraint between the state variable and the control input variable. The algebraic constraint on pencil model is called purely static mode, and is included in infinite mode. Therefore, the information of the constant gain controller is included in the purely static mode of the augmented system which consists of the plant and the control conditions. We pay attention to the coordinate transformation matrix, and LQ optimal controller is derived from the algebraic constraint of the internal variable. The proposed method is applied to the numerical examples, and the results are verified.

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Optimal State Feedback Control of Container Crane Using RCGA Technique (RCGA 기법을 이용한 컨테이너 크레인의 최적 상태 피드백 제어)

  • Lee, Yun-Hyung;Yoo, Heui-Han;Cho, Kwon-Hae;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.31 no.3 s.119
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    • pp.247-252
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    • 2007
  • The container crane is one of the most important equipments at container terminal. If its working time in cycle could be reduced then container terminal efficiency and service level can be increased. So there are many i1forts to reduce working time of container cranes. It means how to design the controller with good performance which has small overshoot and swing motion of container crane. We, in this paper, present a state feedback controller based on LQ theory incorporating a RCGA which means real-coded genetic algorithm RCGA can search state feedback gains under given objective function. A set of simulation works are carried out in order to prove the control effectiveness of the proposed methods.

State Feedback Control of Container Crane using RCGA Technique (RCGA 기법을 이용한 컨테이너 크레인의 상태 피드백 제어)

  • Lee, Yun-Hyung;So, Myung-Ok;Yoo, Heui-Han;Cho, Kwon-Hae
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.399-404
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    • 2006
  • The container crane is one of the most important equipment in container terminal. If its working time in cycle could be reduced then container terminal efficiency and service level can be increased. So there are many efforts to reduce working time of container crane. It means how to design the controller with good performance which has small overshoot and swing motion of container crane. We, in this paper, present a state feedback controller not based on LQ theory but RCGA which means real-coded genetic algorithms. RCGA can search state feedback gains in given objective function. several cases of simulations are carried out in order to prove the control effectiveness of the proposed methods.

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Optimal Output Tracking Control Simulation for Thrust Control of an Open-cycle Liquid Propellant Rocket Engine (개방형 액체로켓엔진의 추력제어를 위한 최적출력 추종제어 시뮬레이션)

  • Cha, Jihyoung;Cho, Woosung;Ko, Sangho
    • Journal of the Korean Society of Propulsion Engineers
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    • v.24 no.2
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    • pp.52-60
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    • 2020
  • This paper deals with an optimal output tracking control for open-cycle liquid propellant rocket engine. For this purpose, we modeled simplified mathematical model of open-cycle liquid propellant rocket engine and designed optimal output feedback control system using combustion chamber pressure. For design the closed-loop system of open-cycle liquid propellant rocket engine, we designed optimal output feedback linear quadratic tracking control system using the linearized model and demonstrated the performance of the controller through numerical simulation.

A study on the robustness and optimality of a LQ computer control for a manipulator with flexible joints (유연관절을 갖고 있는 로보트를 위한 LQ 컴퓨터 제어의 강인성과 최적성에 관한 연구)

  • 김진화;김진걸
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.149-154
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    • 1990
  • In this paper, simulation results of a robust digital tracking controller on a robotic manipulator are presented. The objective is to follow a ramp reference input with zero steady state error in the presence of a disturbance and system parameter variations. Some of the difficulties are caused by the Coulomb frictions, the disturbance due to the gravitational pull, the spring effect of a link between the drive motor and the manipulator arm. Another difficulty is that, because of the non-differentiable Coulomb friction, the digital control system cannot be represented as a discrete system. It is thus necessary to design the controller based on a discrete-continuous hybrid model. The controller is based on feeding back the state variables and augmenting the system by addition discrete integrators. The feedback gain parameters are obtained by applying the quadratic optimal control theory and then choosing the new weighting matrices to eliminate the limit cycle by using the describing function method for hybrid system.

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A Study on Torsional Vibration Suppression of 2-Mass Motor (2관성계 전동기 구동 시스템의 축 진동 억제에 관한 연구)

  • Ji, Jun-Keun
    • Proceedings of the KIEE Conference
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    • 1996.11a
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    • pp.454-456
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    • 1996
  • This paper deals with the comparison study of speed controller for torsional vibration suppression of 2-mass motor drive system. Firstly conventional methods suggested were classified systematically and the features of each method were also compared. Especially the speed controller based on Kalman filter and LQ state feedback was proposed and the response characteristics of it were compared with those of some other methods. Through various computer simulations and the experiments of real 22[KW] field oriented controlled AC motor drive system having 2-mas mechanical system, it was confirmed that the characteristic of proposed speed controller using Kalman filter and LQ is the best among them.

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