• Title/Summary/Keyword: LQ Controller

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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.

LQ-Servo PI Controller Design Using LMI (LMI를 이용한 LQ-서보형 PI제어기 설계)

  • 김상엽;서병설
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.728-731
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    • 1999
  • This paper concerns a development of LQ-servo PI controller design on the basis of time-domain approach. This is because the previous design techniques developed on the frequency-domain is not well suited to meet the time-domain design specifications. Our development techniques used in this paper is based on the convex optimization methods including Lagrange multiplier, dual concept, semidefinite programming.

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Control of Active Suspension System Considering Wheel-Hop (차륜 진동을 고려한 능동 현가계 제어)

  • 이동락;한기봉;이시복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.420-424
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    • 1994
  • In this paper, an active suspension system considering the wheel hop is studied for a quarter car model. A LQ controller controls an active suspension system in which a vibration absorber is attached to the wheel axis. The vibration absorber is adopted to reduce the vibration near the natural frequency of the unsprung mass, and the LQ controller is used to control the vibration near the natural frequency of the sprung mass. The perfomance of the control system considering the wheel hop is compared with that of a LQ control system.

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LQ-PID controller design for the Plant with small delay (작은지연을 갖는 플랜트에 대한 LQ-PID 제어기 설계)

  • Park, Jae-Kyu;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.327-330
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    • 2003
  • This paper presents an optimal robust LQ-PID controller design method for the second-order system with both small state delay and small input delay to satisfy the design specifications in time domain. The modified sensitivity approach method is considered for its optimization.

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Water Level Intelligent Controller Design of Power Plant Drum (발전기 드럼의 수위 지능 제어기 설계)

  • Hong, Hyun-Mun;Lee, Bong-Seob
    • Journal of the Korean Society of Industry Convergence
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    • v.10 no.4
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    • pp.271-274
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    • 2007
  • In this paper, we propose a intelligent controller design method for the water level control of the power plant drum in the form of nonminimum phase system. The proposed method is based on T. Takagi and M. Sugeno's fuzzy model. And we illustrate the improved characteristics as the simulation results, comparing with the conventional the PID and LQ controller design method.

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DESIGN OF AN $H^{\infty}$ CONTROLLER WITH PREVIEW

  • Choi, Chintae;Kim, Jong-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.44-47
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    • 1996
  • An optimal preview controller based on the discrete-time $H_{.inf}$ control is presented. The preview controller is synthesized by considering the bounded unknwon disturbances as well as previewable commands and disturbances. The controller derivation procedure is analogous to the LQ-based scheme. The designed preview gain matrix has a similar structure as the LQ-based one. As the infinity norm .gamma. of the transfer function matrix tends to .inf., the preview gains obtained by $H_{\infty}$ control method approach to the gains by the LQR. The LQ-based preview gains are verified to be subsets of the $H_{.inf}$ -based preview gains..

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$H_{\infty}$ CONTROLLER DESIGN VIA LQ GAME PROBLEM FOR DISRETE TIME SYSTEM

  • Kwon, Wook-Hyun;Lee, Joon-Hwa;Kim, Won-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.864-867
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    • 1990
  • In this paper, a state space solution to the discete time H$_{\infty}$ control problem is presented. It is shown that there exist LQ game problem corresponding to H$_{\infty}$ control problems and the H$_{\infty}$ controller can be obtained by solving the LQ game problem. Explicit state space formulae are given for the state feedback H$_{\infty}$ controller and output feedback H$_{\infty}$ controllers.lers. state feedback $H_{\infty}$ controller and output feedback $H_{\infty}$ controllers.

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GA based Selection Method of Weighting Matrices in LQ Controller for SVC (GA를 이용한 SVC용 LQ 제어기의 가중행렬 선정 기법)

  • 허동렬;이정필;주석민;정형환
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.6
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    • pp.40-50
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    • 2002
  • In this paper, we present a GA(Genetic Algorithm) approach to select weighting matrices of an optimal LQ(Linear Quadratic) controller for SVC(Static VAR Compensator). A SVC, one of the FACTS(Flexible AC Transmission System), constructed by a FC(Fixed Capacitor) and a TCR(Thyristor Controlled Reactor), was designed and implemented to improve the damping of a synchronous generator, as well as to control the system voltage Also, a design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices which is not a trivial solution is usually carried out by trial and error. We proposed an efficient method using GA of finding weighting matrices for optimal control law. Thus, we proved the usefulness of proposed method to improve the stability of single machine-infinite bus with SVC system by eigenvalues analysis and simulation.