• Title/Summary/Keyword: $H_{\infty}$ controller

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Design of Robust Load Frequency Controller using Mixed Sensitivity based $H_{\infty}$ norm (혼합강도 $H_{\infty}$ 제어기법을 이용한 강인한 부하주파수 제어기 설계)

  • 정형환;김상효;이정필;한길만
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.3
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    • pp.88-98
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    • 2000
  • In this paper, a robust controller using $H_{\infty}$ control theory has been designed for the load frequency control of interconnected 2-area power system. The main advantage of the proposed $H_{\infty}$ controller is that uncertainties of power system can be included at the stage of controller design. Representation of uncertainties is modeled by multiplicative uncertainly. In the mixed sensitivity problems, disturbance attenuation and uncertainty of the system is treated simultaneously. The robust stability and the performance of model uncertainties are represented by frequency weighted transfer function. The design of load frequency controller for each area was based on state-space approach. The comparative computer simulation results for the proposed controller and the conventional techniques such as the optimal control and the PID one were analyzed at the additions of various disturbances. Their deviation magnitude of frequency and tie line power flow at each area were mainly evaluated. Also the testing results of robustness for the cases that the perturbations of the all parameters of power system were amounted to about 20% were introduced. It was approved that the resultant performances of the proposed $H_{\infty}$ controller with mixed sensitivity were more robust and stable than the one of conventional controllers.

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Thickness Control of Tandem Cold Mills Using $H{\infty}$Control Techniques ($H{\infty}$제어기법에 의한 연속 냉간 압연시스템의 두께 제어)

  • 김종식;김승수
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.8
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    • pp.145-155
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    • 1998
  • An $H{\infty}$ controller with a roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occured in rolling stands themselves of tandem cold mills. A robust controller to the disturbances is designed by H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and the knowledge of disturbance spectrum in the frequency domain. First, fundamental problems in tandem cold mills such as process transport delay inherent in the exit thickness measurement and the feedforward loading of roll eccentricity signals on the exit thickness be overcome by the roll eccentricity filtering and the compensation for the error of gaugemeter thickness estimator. And non-satndard $H{\infty}$ control problem caused by the selection of weighting function having poles on the $J{\omega}$-axis is discussed. The resultant controller composed by an $H{\infty}$ controller and an estimator for the roll eccentricity is evaluated through computer simulations. The effectiveness of the proposed control method is compared to that of the conventional LQ controller method and a feedforward controller for the roll eccentricity, which has been already studied.

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Two Degree of Freedom Robust Controller Design of a Seeker Scan-Loop (탐색기 주사루프의 2자유도 강인제어기 설계)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.157-165
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    • 1995
  • The new formulation of designing the two degree of freedom(TDF) robust controller is proposed using $H_{\infty}$optimization and model matching method. In this formulation the feedback controller and feedforward controller are designed in a single step using $H_{\infty}$optimization procedure. Roughly speaking, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while the feedforward controller is used to improve the robust model matching properties of the closed loop system. The proposed formulation will be illustrated and evaluated on a seeker scan-loop. And the performances of TDF robust controller are compared with those of the $H_{\infty}$ controller designed using Loop Shaping Design Procedure proposed by McFarlane and Glover.lover.

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Robust $H{\infty}$ Control Using Sliding Mode and LMI (슬라이딩모드와 LMI를 이용한 강인 $H{\infty}$ 제어)

  • Kim, Su-Jin;Kim, Min-Chan;Park, Seung-Kyu;Ahn, Ho-Kyun;Kwak, Gun-Pyong;Yoon, Tae-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.2
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    • pp.316-321
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    • 2007
  • [ $H{\infty}$ ] controller, which shows robustness for disturbances and noises, can not be used in the case of uncertain system parameters. Even if the $H{\infty}$ controller can be designed for the parameter uncertain system, its performance can be deteriorated. Therefore, in this paper, the robustness of $H{\infty}$ controller is improved by using the SMC(Sliding Mode Control). The LMI based $H{\infty}$ controller is designed first and then SMC controller is added.

H$\infty$ controller design for input-saturated linear systems

  • Choi, Ki-Hoon;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.2-75
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    • 2001
  • In this paper, we provide the technique of H$\infty$ controller design algorithm for input-saturated linear systems using a linear parameter varying(LPV) framework. The LPV controller with parameter dependent dynamic state feedback controller concept guarantees the asymtotic stability and H$\infty$ norm bound within prescribed level v using the saturation nonlinearity as scheduling parameters. Especially, the sufficient conditions for the existence of H$\infty$ controller are formulated in terms of linear matrix inequalities(LMIs) that can be solved very efficiently.

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H$\infty$ Optimal Controller Synthesis for an electromechanical actuator system (전기 기계 구동 시스템에 대한 H$\infty$ 최적 제어기 구성)

  • 김용규;유창근
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.1117-1120
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    • 1999
  • In this paper, we design the H$\infty$ optimal controller satisfying robust stability and performance in spite of the plant uncertainty for an electro-mechanical actuator system and analyze the controller in frequency domain. H$\infty$ optimal controller K was designed using iteration algorithm suggested by DOYLE. Using the controller in an electro-mechanical actuator system, the joint with very small coupling rigidity coefficient was used to vary the control parameter. The plant unstructured uncertainty was assumed to be a multiplicative type.

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A Design Method for a discrete-time $\textrm{H}^{\infty}$ Controller (이산시간 $\textrm{H}^{\infty}$제어기의 설계방법)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1444-1447
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    • 1997
  • In this paper, the problen of dseigning a H.inf. controller is considered, where the controller is realized through digital equipment. We show that the existing discrete-time controller design method can be improved by usign the inveres bilinear transformation. The usefulness of the given method is confirmed by simulation.

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Robust Non-Fragile $H_{\infty}$ Output Feedback Control for Descriptor Systems with Parameter Uncertainties (변수 불확실성을 가지는 특이시스템의 강인 비약성 $H_{\infty}$ 출력궤환 제어)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.389-395
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    • 2007
  • In this paper, we consider the robust non-fragile $H_{\infty}$ output feedback controller design method for uncertain descriptor systems with feedback and observer gain variations. The existence condition of observer-based robust and non-fragile $H_{\infty}$ output feedback controller and the controller design method are Presented on the basis of linear matrix inequality approach. The proposed robust non-fragile $H_{\infty}$ output feedback controller guarantees asymptotic stability, non-fragility, $H_{\infty}$ norm bound within a prescribed level in spite of disturbance, parameter uncertainty, and feedback/observer gain variations.

Speed Control of the Low Speed Diesel Engine by $H_{\infty}$ Controller Design Method ($H_{\infty}$ 제어기법을 이용한 저속디젤기관의 속도제어)

  • 양주호;정병건
    • Journal of Advanced Marine Engineering and Technology
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    • v.17 no.5
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    • pp.63-70
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    • 1993
  • In 1980's to 1990's the marine propulsion diesel engines have been developed into lower speed and longer stroke for the energy saving(small S.F.O.C.). As these new trends the convetional mechnical-hydraulic governors were not adapted to the new requirements and the digital governors have been adopted in the marine use. The digital governors usually use the control algorithms such as the PID control, optimal control, adaptive control and etc. While the engine has delay time and parameter variations these control algorithms have difficulty in considering the stability and the robustness for the model uncertainty. In this study, the $H_{\infty}$ controller design method are applied to the speed control of the low speed marine diesel engine. By comparison the $H_{\infty}$ control results with the PID control results, the validity of the $H_{\infty}$ controller under the delay time and parameter variations is confirmed.

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NFL-$H_{\infty}$/SMC Design for Nonlinear PSS : Part B (비선형 PSS을 위한 NFL-$H_{\infty}$/SMC 의 설계 : Part B)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.970-972
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    • 1998
  • In this paper, the standard Dole, Glover, Khargoneker, and Francis (abbr. : DGKF 1989) $H_{\infty}$ controller $(H_{\infty}C)$ is extended to the nonlinear feedback linearization-$H_{\infty}$ /sliding mode controller (NFL-$H_{\infty}$/SMC) to solve the problem associated with the full state feedback for the unmeasurable state variables in the conventional SMC, to obtain the smooth control as the linearized controller for a linear system (or to cancel the nonlinearity for the nonlinear system), and to improve the time-domain performance under worst case.

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