• Title/Summary/Keyword: LQ problem

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Dynamic Positioning Control of Floating Platform using $H_{\infty}$ Control Method ($H_{\infty}$ 제어법을 이용한 부유식 플랫폼의 동위치 제어)

  • 유휘룡;김환성;김상봉
    • Journal of Ocean Engineering and Technology
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    • v.10 no.3
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    • pp.153-161
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    • 1996
  • This paper presents a design method of dynamic positioning control system for floating platform with rotatable and retractable thruster using $H_{\infty}$ control technique. The norm band of uncertainty is captured by multiplicative perturbation between nominal model and reduced order model. A controller robust to the uncertainty is designed applying $H_{\infty}$ synthesis. The control law satisfying robust stabillity and nominal performance condition is determined through the mixed sensitivity approach. The evaluation for the resultant controller obtained by $H_{\infty}$ synthesis is done through simulations of the closed loop system. The results of $H_{\infty}$ synthesis are compared to those of the traditional LQ synthesis method.

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PREVIEW CONTROL FOR EDGE-FOLLOWING USING ROBOT FORCE CONTROL

  • Yong, Boojoong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.1
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    • pp.100-111
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    • 1999
  • This paper resents a discrete-time model of an edge-following with accommodation force control. Since an irregular workpiece shape causes disturbances to the system while following an edge, the use of preview control is proposed to improve the system performance. The preview control employs future information of the workpiece contour shape, and it can be developed by LQ-optimal control principles. This study provides a general method how to utilize the local future information obtained by the finite preview to minimize an optimality criterion evaluated over a problem duration. The force controller is designed based on the preview control scheme, and then implemented on a VME-based computer. Experimental results using an industrial robot show that the preview control system achieves faster tracking speed and better force regulation than the conventional nonpreview control system.

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LQG Controller Design for Active Suspensions using Evolution Strategy and Neural Network (진화전략과 신경회로망을 이용한 능동 현가장치 LQG 제어기 설계)

  • Cheon, Jong-Min;Kim, Jong-Moon;Park, Min-Kook;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.266-268
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    • 2006
  • In this paper, we design a Linear Quadratic Gaussian(LQG) controller for active suspensions. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Using an optimization-algorithm, Evolution Strategy(ES), we find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies.

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A CONTROLLER DESIGN OF ACTIVE SUSPENSION USING EVOLUTION STRATEGY AND NEURAL NETWORK

  • Cheon, Jong-Min;Kim, Seog-Joo;Lee, Jong-Moo;Kwon, Soon-Man
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1530-1533
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    • 2005
  • In this paper, we design a Linear Quadratic Gaussian controller for the active suspension. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Because any definite rules for selecting weights do not exist, we use an optimization-algorithm, Evolution Strategy (ES) to find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies. For the full-state feedback control, Kalman filter observes the full states and Fourier transform is used to detect the frequency of the road.

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A Study on the Equilibrium Control of a Seesaw System (시소 시스템의 균형 제어에 관한 연구)

  • Kang, Ki-Won;Jung, Chul-Bum;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.706-708
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    • 1999
  • In this study, a seesaw system is used as an example to demonstrate effectiveness of the control theory. This problem which keeps a seesaw's balance is corresponded to one of regulating problems. In this regard, a controller is designed by LQ techniques and an observer is implemented and applied to estimate states which cannot be actually measured in this system. And the genetic algorithm is utilized to systematically choose weighting factors in the given cost function. The performance of the controller is verified through the experiment results.

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Robust ILQ controller design of hot strip mill looper system

  • Kim, Seong-Bae;Hwang, I-Cheol
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.5-75
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    • 2001
  • In this paper, we study design of a ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between stands plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. A Looper servo controller is designed by ILQ control theory which is an inverse problem of LQ(Linear Quadratic optimal control) control. The mathematical model for looper system is obtained by Taylor´s linearization of nonlinear differential equations. Then we designed linear controller for linearization model by using the ILQ control algorithm. Thereafter this controller is applied to the nonlinear model for model identification. As a result, we show the controller´s robustness for the model error, external disturbance and sensor noise.

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Dynamic Positionning Control of Floating Platform Using H$_{\infty}$ Control Method (H$_{\infty}$제어법을 이용한 부유식 플랫폼의 동위치 제어)

  • 유휘룡;김성민;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.437-442
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    • 1996
  • The paper presents a design method of dynamic positioning control system for floating platform with rotatable and retractable thruster using $H_{\infty}$control technique. The norm band of uncertaintyis captured by multiplicative perturbation between nominalmodel and reduced order model. A controller robust to theuncertainty is designed applying $H_{\infty}$synthesis. The control law satisfying robust stability and nominal performance condition is determined through the mixed sensitivity approach. The evaluation for the resultant controller obtained by $H_{\infty}$synthesis is done through simulations of the closed loop system. The results of $H_{\infty}$synthesis are compared to those of the traditional LQ synthesis method. method.

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The Discrete-Time $H_2$/$H_{\infty}$ Control Synthesis : State Feedback Case

  • Bambang, Riyanto;Shimemura, Etsujiro;Uchida, Kenko
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.858-863
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    • 1990
  • A synthesis of feedback control-law with combined H$_{2}$/H$_{\infty}$ perfoemance criteria is proposed for discrete-time systems, under the assumption that the state is available for feedback. An auxiliary minimization problem is defined to enforce the H$_{\infty}$ disturbance attenuation constrain while minimizing the H$_{2}$ performance bound. The design equation is presented in terms of a modified Riccati equation which leads to the standard LQ solution when the H$_{\infty}$ constraint is completely relaxed. The results of the paper clarity the correspondences between H$_{2}$/H$_{\infty}$ results in discrete-time systems and their continuous-time counter-parts.rts.

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Sliding Mode Control of Rotational Inverted Pendulums Using Output Feedback Compensator (출력 피드백을 이용한 회전형 역진자의 슬라이딩 모드 제어)

  • Ha, Jong-Heon;Choi, Joeng-Ju;Kim, Jong-Shik
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.469-474
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    • 2000
  • A sliding mode control method using the parameterization of both the hyperplane and the compensator for output feedback and reduced observer is presented for rotational inverted pendulums. This control strategy overcomes the problem of unattainable velocity state which is resulted from severe noise of analogue sense and constructs numerical algorithms designs of dynamic output feedback sliding mode hyperplane and controller. The result of the experiment shows the superior performance compared with the LQ controller and the robustness with respect to both tapping disturbances and certain initial conditions.

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A Study on Design of Optimal Model Following Boiler-Turbine Control System Using Genetic Algorithms (유전 알고리즘을 이용한 최적 모델 추종형 보일러-터빈 제어 시스템의 설계에 관한 연구)

  • Ryu, C.S.;Hwang, H.J.;Kim, D.W.;Park, J.H.;Hwang, G.S.
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.446-448
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    • 1997
  • The aim of this paper is to introduce a method designing the optimal model following boiler-turbine control system using genetic algorithms. This boiler-turbine control system is designed by applying genetic algorithms with reference model to the optimal determination of weighting matrices Q, R that are given by LQ regulator problem. These weighting matrices are optimized simultaneously in the search domain selected adequately. The effectiveness of this boiler-turbine control system is verified by computer simulation.

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