• Title/Summary/Keyword: A$lq_3$

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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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Analyzing Core Competence for Culture Contents Industry Ecosystem -based on Kyunggi Region- (경기도 문화콘텐츠산업의 지역착근성 기반 산업생태계 핵심역량 분석)

  • Kim, Yeon-Jeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.2
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    • pp.672-677
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    • 2016
  • This study examined the relative industry competence of Kyunggi regional area. The LQ index was applied to estimate the competence of 11 culture contents. In the case of the amount of revenue, cartoon, characters, knowledge information, and publishing showed a relative high competence over LQ 1.0. Regarding the number of companies, cartoon, music, game, character, and knowledge information showed LQ of more than 1.0. The criteria of the number of employees indicated publishing, cartoon, game, character industry to be significant. The common LQ index result of 3 criteria suggested cartoon and character industry to be influential. This indicates that the flow among knowledge, information and person in a regional industry cluster are most important for promoting industry core competence.

The Displacement Control of a Belt Drive System using LQ Servo Controller (LQ 서보제어기를 이용한 벨트구동 시스템의 변위제어)

  • Kwon Se-Hyun
    • Journal of the Korea Computer Industry Society
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    • v.7 no.3
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    • pp.155-162
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    • 2006
  • Because of their lower cost, higher speed, and longer travel, a belt drive system are quite desirable over screw driven system. However, a belt drive system are inherently difficult to control due to belt flexibility, friction, vibration, backlash and other non-linearities. This thesis presents servo control algorithm and the designing method of controller appliable to a belt drive system. In this paper, a LQ servo controller for a belt drive system is proposed to accomplish an optimal design of improved control system. In this scheme a mathematical model for the control system is obtained in state space form. Finally, the effectiveness of the proposed servo controller was verified through the computer simulation results.

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LQ-servo design to command following and output-disturbance rejection (명령추종과 출력측 외란제거를 위한 LQ-servo 설계)

  • Yun, Seong-O;Suh, Byung-Suhl
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.5
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    • pp.443-449
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    • 1997
  • LQ-servo design procedure introduced by Athans is a method using a partial states feedback and an output feedback in order to improve the poor performance robustness of the LQR as well as to maintain its stability robustness. Although the method guarantees good stability robustness, it is not effective in performance robustness as it does not match the singular value at low or high frequencies of the transfer matrix obtained by breaking at the plant output. This paper intends propose of a new method, using the limited behaviour of the control gain introduced by Kwakernaak and Sivan, in order to improve it does it refer to controlga introduced by kwakernaak or the new metho Anblguouls.

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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.

Pole Placement Method of a Double Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 중근의 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.1
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    • pp.20-27
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    • 2020
  • In general, a nonlinear system is linearized in the form of a multiplication of the 1st and 2nd order system. This paper reports a design method of a weighting matrix and control law of LQ control to move the double poles that have a Jordan block to a pair of complex conjugate poles. This method has the advantages of pole placement and the guarantee of stability, but this method cannot position the poles correctly, and the matrix is chosen using a trial and error method. Therefore, a relation function (𝜌, 𝜃) between the poles and the matrix was derived under the condition that the poles are the roots of the characteristic equation of the Hamiltonian system. In addition, the Pole's Moving-range was obtained under the condition that the state weighting matrix becomes a positive semi-definite matrix. This paper presents examples of how the matrix and control law is calculated.

A method for deciding weighting matrices in a linear discrete time optimal regulator problems to locate all poles in the specified region

  • Shin, Jae-Woong;Shimemura, Etsujiro;Kawasaki, Naoya
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.729-733
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    • 1988
  • In this paper, a new procedure for selecting weighting matrices in linear discrete time quadratic optimal control problems (LQ-problem) is proposed. In LQ problems, the quadratic weighting matrices are usually decided on trial and error in order to get a good response. But using the proposed method, the quadratic weights are decided in such a way that all poles of the closed loop system are located in a desired area for good responses as well as for stability and values of the quadratic cost functional are kept less then a specified value. The closed loop systems constructed by this method have merits of LQ problems as well as those of pole assignment problems. Taking into consideration that little is known about the relationship among the quadratic weights, the poles and the values of cost functional, this procedure is also interesting from the theoretical point of view.

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Fuzzy Modeling and Control of Wheeled Mobile Robot

  • Kang, Jin-Shik
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.58-65
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    • 2003
  • In this paper, a new model, which is a Takagi-Sugeno fuzzy model, for mobile robot is presented. A controller, consisting of two loops the one of which is the inner state feedback loop designed for stability and the outer loop is a PI controller designed for tracking the reference input, is suggested. Because the robot dynamics is nonlinear, it requires the controller to be insensitive to the nonlinear term. To achieve this objective, the model is developed by well known T-S fuzzy model. The design algorithm of inner state-feedback loop is regional pole-placement. In this paper, regions, for which poles of the inner state feedback loop are lie in, are formulated by LMI's. By solving these LMI's, we can obtain the state feedback gains for T-S fuzzy system. And this paper shows that the PI controller is equivalent to the state feedback and the cost function for reference tracking is equivalent to the LQ(linear quadratic) cost. By using these properties, it is also shown in this paper that the PI controller can be obtained by solving the LQ problem.

Pole Placement Method to Move a Equal Poles with Jordan Block to Two Real Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 조단 블록을 갖는 중근을 두 실근으로 이동시키는 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.608-616
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    • 2018
  • If a general nonlinear system is linearized by the successive multiplication of the 1st and 2nd order systems, then there are four types of poles in this linearized system: the pole of the 1st order system and the equal poles, two distinct real poles, and complex conjugate pair of poles of the 2nd order system. Linear Quadratic (LQ) control is a method of designing a control law that minimizes the quadratic performance index. It has the advantage of ensuring the stability of the system and the pole placement of the root of the system by weighted matrix adjustment. LQ control by the weighted matrix can move the position of the pole of the system arbitrarily, but it is difficult to set the weighting matrix by the trial and error method. This problem can be solved using the characteristic equations of the Hamiltonian system, and if the control weighting matrix is a symmetric matrix of constants, it is possible to move several poles of the system to the desired closed loop poles by applying the control law repeatedly. The paper presents a method of calculating the state weighting matrix and the control law for moving the equal poles with Jordan blocks to two real poles using the characteristic equation of the Hamiltonian system. We express this characteristic equation with a state weighting matrix by means of a trigonometric function, and we derive the relation function (${\rho},\;{\theta}$) between the equal poles and the state weighting matrix under the condition that the two real poles are the roots of the characteristic equation. Then, we obtain the moving-range of the two real poles under the condition that the state weighting matrix becomes a positive semi-finite matrix. We calculate the state weighting matrix and the control law by substituting the two real roots selected in the moving-range into the relational function. As an example, we apply the proposed method to a simple example 3rd order system.

Notice of LQ Piping Design for ICHTHYS (ICHTHYS CPF(Central Processing Facility) LQ Piping Design 특이사항(유의사항))

  • Lee, Jaeyoung;Seong, Hyeontaek
    • Special Issue of the Society of Naval Architects of Korea
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    • 2017.10a
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    • pp.46-53
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    • 2017
  • We work for big offshore project in the Korean shipyards as a EPC contract. There are a lot of risks even though the FEED Engineering was taken in the famous engineering company. In case of ICHTHYS CPF, it worked on the FEED activity for several years. Here is mention that design modification was carried how to modify material and specification according to shipyards human resource and yard practice for your reference. Furthermore, I expect that this paper is used for Korean engineer for their reference.

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