• Title/Summary/Keyword: LQ Controller

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A Tuning Algorithm for LQ-PID Controllers using the Combined Time - and Frequency-Domain Control Method

  • Kim, Chang-Hyun;Lee, Ju;Lee, Hyung-Woo
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.1244-1254
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    • 2015
  • This paper proposes a new method for tuning a linear quadratic - proportional integral derivative controller for second order systems to simultaneously meet the time and frequency domain design specifications. The suitable loop-shape of the controlled system and the desired step response are considered as specifications in the time and frequency domains, respectively. The weighting factors, Q and R of the LQ controller are determined by the algebraic Riccati equation with respect to the limiting behavior and target function matching. Numerical examples show the effectiveness of the proposed LQ-PID tuning method

GA Based Control Parameter Selection Method for Optimal TCSC Control (GA를 이용한 TCSG 제어기의 파라메터 선정)

  • Kim, Hak-Man;Oh, Tae-Kyoo;Shin, Myong-Chul;Son, Kwang-Myoung
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.841-843
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    • 1997
  • In this paper we present a Genetic approach to select weighting matrices of LQ(Linear Quadratic) controller for optimal TCSC(Thyristor Controlled Series Capacitor) control. A design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices is usually carried out by trial and error, which is not a trivial problem. We proposed a efficient method using GA of finding weighting matrices for optimal control law. The proposed GA method was applied to design LQ controller of TCSC in one machine infinite bus system and showed good results.

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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.

Design of a Discrete-Time $H_{\infty}$ Controller with Preview Action (예견 기능을 가진 이산시간 $H_{\infty}$ 제어기의 설계)

  • Choi, Jin-Tae;Kim, Jong-Shik
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.115-123
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    • 1997
  • 이산기간 H/sub .inf./ 제어에 의한 최적 예견제어기를 제안한다. 기존의 H/sub .inf./ 제어기는 미지의 외란만 고려한 것이고, LQ 에 의한 예견제어기는 예견 가능한 외란과 미지의 외란이 동시에 가해지는 동적 시스템의 전달함수 행렬의 infinity 놈의 최소화하는 피드백제어기가 동시에 설계된다. 제어기의 설계는 full-information H/sub .inf./ 제어 이론을 따르나, 그 유도 과정은 LQ 에 기초한 예견제어기와 유사하게 이루어진다. 설계된 H/sub .inf./ 예견 게인 행렬은 LQ 예견 게인 행렬과 유사한 구조를 갖는다. 전달함수 행렬의 infinity 놈이 .inf.로 갈수록 H/sub .inf./ 예견 게인 행렬은 LQ에 의한 것에 접근한다. LQ 예견 게인 행렬은 H/sub .inf./ 예견 게인 행렬의 부분 집합임이 입증한다.

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Networked Control System Design Accounting for Time-Delays with Application to Inverted Pendulum

  • Park, Byung-In;Yoo, Ho-Jun;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1470-1473
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    • 2003
  • In this paper the networked control systems (NCS) problem is discussed where plants and controllers are distributed and interconnected by a common network. NCS is designed with LQ regulator and applied to an inverted pendulum accounting for the multiple time delays. We are to deals with a networked control system with a single controller, multiple sensors and multiple actuators. Since these parts are distributed, they are interconnected by communication networks. An NCS with LQ regulator is designed and applied to an inverted pendulum as a benchmark plant to check its performance under time delays induced by the network. Network induced delays are composed of two parts. One is the delay from controller to plant, and another is from plant to controller. They are assumed to be constant in this paper, and the plant and controller are discretized. To apply the LQ regulator the NCS model is transformed to a standard model with delayed states as state variable. And real network induced delay is measuring in TCP/IP network assuming that two delays are constant.

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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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Robust LQ control of magnetically levitation systems with a combined lift and guidance using loop-shaping techniques (루프형성 기법을 이용한 편심배치방식 자기부상 시스템의 강인 LQ 제어)

  • 박전수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.747-753
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    • 1992
  • The modeling and control design schemes are developed for maglev systems with a combined lift and guidance. First, bond graph techniques are applied for modeling these multi-energy domain systems more logically and systematically. And the stability loop via pole placement and the performance loop via loop-shaping LQ control are designed. The suggested controller satisfies the required characteristics of stability and performance simultaneously. Finally, the robustness of the synthesized maglev control system is evaluated for the variations of air gap and vehicle mass through computer simulation.

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LQ-servo PI Controller Design Using Convex Optimization (볼록형 최적화기법을 이용한 LQ-서보형 PI제어기 설계)

  • 이응석;서병설
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.724-727
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    • 1999
  • The previous LQ-servo PI design methods have some serious design problems happened from the frequency matching of the maximum and minimum singular values of loop transfer function at both low and high frequency regions on the Bode plot. To solve these problems, this paper proposes a new design technique based on the inverse-optimal control and convex optimization.

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Anti-Sway and Position Control of Overhead Crane Using the LQ Controller (LQ 제어기를 이용한 천정 크레인의 흔들림 억제 및 위치제어)

  • Choi, B.S.;Park, J.W.;Son, J.K.;Kwon, S.J.
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2753-2755
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    • 2003
  • Overhead crane must do to control occurrence of Anti-Sway according to work situation that is used in case move industry spot's heavy freight, and do safe transfer of freight. Transfer process that make use of crane suspends and consist of series action that put down freight to do relevant addition decreasing the speed before objective while move by schedule section equal speed because increasing the speed after lift thing. This need skill degree by experience because there are operator's function and affinity. Also, must control this effectively because can affect big productivity elevation according to effect that get in transfer of safe freight, Therefore, illuminate physical characteristic of crane and algorithm of motor drive department and there is purpose of this research to do so that correct control may be available through over head crane's shaking control and position control designing LQ controller.

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A Vibration Control of Multi-layer Structure by LQ Type $H_{\infty}$ Control Theory (LQ 형 $H_{\infty}$ 제어기법에 의한 다층 구조물의 진동제어)

  • Yang, J.H.;Jeong, H.J.;Kim, C.H.;Byun, J.H.;Sim, S.H.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.41-46
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    • 1998
  • This paper presents the vibration control for the two degree-of-freedom which is a reduced model of multi-layer structure. This reduced model is designed for the first and second order resonance in the low frequency domain where the disturbance such as the earth quake has the large energy. And a designed controller using the LQ type $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the experimental results and the simulation results respectively.

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