• Title/Summary/Keyword: LQ control

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Robust Controller Design of Container Cranes for Improving the Stevedoring Efficiency in Port (항만효율향상을 위한 컨테이너 크레인의 강인한 제어기 설계)

  • Lee, Young-Jae;Lee, Yun-Hyung;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.31 no.6
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    • pp.531-536
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    • 2007
  • In this paper we present an interpolation-LQ control technique which tunes continuously the controller gain by interpolating the gains of sub-LQ controllers. The proposed controller design technique is applied to the container crane system for simulations. Several cases of simulations are carried out in order to prove the control effectiveness and robustness. The simulation results of the proposed controller are compared with those of LQ controllers. The results showed better control performance than those of LQ controllers.

LQ-PID Controller Design for Speed Control of Induction Motor (유도전동기의 속도 제어를 위한 LQ-PID 제어기 설계)

  • 이충우;서병설
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.3
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    • pp.1-8
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    • 2004
  • This paper proposes an LQ-PID controller to reduce errors occurring between input and output speeds in braking or emergency braking and to solve delay of speed or the excessive overshoot problems occurring at the speed control of induction motor. The conventional LQ controller is a method that move the poles in locations that satisfy design specifications such as overshoot and settling time etc. by state-feedback. So it may not be able to satisfy the overshoot requirement in case of the existence of zero in the closed loop transfer function. To attack this zero-problem it is presented a new design methodology of LQ-PID controller by introducing an analytic technique to eliminate the effect of zeros on the closed loop transfer function.

Robust PI controller design using LQ-servo (LQ-servo를 이용한 강인한 PI제어기 설계)

  • 이동영;윤성오;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.577-580
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    • 1996
  • LQ-servo is a stability-robustness guaranteed multivariable controller design method based on the LQR structure to improve command following performance with output feedback. In this paper, a new type of PI controller based on LQ-servo is introduced. Then, Command following performance is improved using the limiting behavior of the control gain and weighting factors on the low frequency part of design parameter Q that is the state weighting matrix in the cost function.

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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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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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Design of the Anti-sway Controller for a Boom Type Crane Using the LQ Control (LQ 제어를 이용한 붐형 크레인의 흔들림 제어기 설계)

  • Son, J.K.;Hong, J.P.;Kwon, S.J.
    • Journal of Power System Engineering
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    • v.7 no.4
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    • pp.74-81
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    • 2003
  • An LQ controller design method is proposed for effective anti-sway control of boom type crane in this paper. It is important for high productivity that the sway of a load is controlled as fast as possible when the trolley arrives to the destination with maximum velocity. To prove the effectiveness of the proposed LQ controller. simulations and experiments using the boom type crane as experimental device is carried out. Tracking performance for a step type reference and robustness for the change of working environment such as the change of load weight and parameters produced by a wire rope and disturbance by the wind arc proved by the experiment. It will be examined that boom type crane can be applied to industrial fields through experiment in this paper.

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Design of a Robust Control System Using the Fuzzy-LQ Control Technique (퍼지-LQ 제어 기법을 이용한 강인한 제어시스템의 설계)

  • 최재준;소명옥
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.3
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    • pp.623-630
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    • 2001
  • The conventional control techniques based a mathematical model are not well suited for dealing with ill-defined and uncertain system like a linear quadratic control. Recently, fuzzy control has been successfully applied to a wide variety of practical problems such as robot, water purification, automatic train operation system etc. In this paper, a design technique of robust Fuzzy-LQ controller for each subsystem is designed. Secondly , all the subsystem controllers are combined by fuzzy weighted averaging method. Finally the effectiveness of the proposed controller is verified through a series of computer simulations for an inverted pole system.

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Semiactive MR Fluid Suspension System Using Frequency Shaped LQ Control (주파수 성형 LQ제어기를 이용한 반능동식 자기유변유체 현가 시스템)

  • Kim, Gi-Deok;Jeon, Do-Yeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2274-2282
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    • 2000
  • An MR(Magneto-Rheological) fluid damper is designed and applied to the semi-active suspension system of a 1/4 car model. The damping constant of the MR damper changes according to input current and the time delay of the damper is included in the system dynamics. The passive method, LQ control and Frequency shaped LQ control are compared in experiments. The advantage of the proposed frequency shaped LQ control is that the ride comfort improves in frequency range from 4 to 8Hz where human body is most sensitive and the driving safety improves around the resonance frequency of unsprung mass, 11Hz. The experiments using a 1/4 car model show the effectiveness of the algorithm.

Optimal Control of a First Order System (일차계통의 최적제어에 관한 연구)

  • 송문현;하주식
    • Journal of Advanced Marine Engineering and Technology
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    • v.18 no.4
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    • pp.77-83
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    • 1994
  • In this paper, an optimal control of first order systems is discussed. The control system comprises a main controller and an auxiliary controller. The main controller is designed based on the LQ control scheme including an integrator to remove the off-set. The non-linear auxiliary controller is added parallely to the main controller to obtain a finite time settling control. The control parameters under variation of the system and various coefficients of the performance indices are computed numerically, and the control responses for the system with the proposed controllers demonstrated the usefulness of the control method.

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INDEFINITE STOCHASTIC LQ CONTROL WITH CROSS TERM VIA SEMIDEFINITE PROGRAMMING

  • Luo, Chengxin;Feng, Enmin
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.85-97
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    • 2003
  • An indefinite stochastic linear-quadratic(LQ) optimal control problem with cross term over an infinite time horizon is studied, allowing the weighting matrices to be indefinite. A systematic approach to the problem based on semidefinite programming (SDP) and .elated duality analysis is developed. Several implication relations among the SDP complementary duality, the existence of the solution to the generalized Riccati equation and the optimality of LQ problem are discussed. Based on these relations, a numerical procedure that provides a thorough treatment of the LQ problem via primal-dual SDP is given: it identifies a stabilizing optimal feedback control or determines the problem has no optimal solution. An example is provided to illustrate the results obtained.