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

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Generator Exciter Control Using H (H 이용한 발전기 여자 시스템 제어)

  • Hong, Hyun-Moon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.5
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    • pp.198-202
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    • 2004
  • This thesis proposes a robust controller introducing the H$_{\infty}$ control theory, one of the robust control theories that can obtain desired control performance while ensuring robustness for the uncertainty and disturbance contained in the power system. The performance of the designed controller is examined by extensive non-linear time domain simulation. Results show that the proposed H$_{\infty}$ controller is superior to that of the conventional controller.

Comparison of Control Performance in Electro.hydraulic Servo Systems (전기.유압 서보 시스템의 제어성능 비교)

  • Kim, D.T.;Park, K.S.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.3 no.2
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    • pp.14-20
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    • 2006
  • A controller design procedure for an electro-hydraulic positioning systems has been developed using $H{\infty}$ control. The generalized plant models and weighting function for multiplicative uncertainty modelling error was presented along with $H{\infty}$ controller designs in order to investigate the robust stability and performance. Both disturbance rejection and command tracking performances were improved with the $H{\infty}$ controller, and the better uniformity of time response is achieved across wide range of operating conditions than the PID, LQR and LQG control scheme. The multiplicative uncertainty case was specifically suited for the design of an electro-hydraulic positioning control systems using $H{\infty}$ control.

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Robust H$\infty$ FIR Filtering for Uncertain Time-Varying Sampled-Data Systems

  • Ryu, Hee-Seob;Kwon, Byung-Moon;Kwon, Oh-Kyu
    • Journal of KIEE
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    • v.11 no.1
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    • pp.21-26
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    • 2001
  • This paper considers the problem of robust H$\infty$ filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, that would be guarantee a prescribed H$\infty$ performance in the continuous-time context, irrespective of the parameter uncertainty and unknown initial states.

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The hovering Flight Attitude Control of a Helicopter using Mixed $H_2/H_{\infty}$ Control Techniques ($H_2/H_{\infty}$ 혼합 제어 기법을 이용한 헬리콥터의 정지 비행 자세 제어에 관한 연구)

  • Lee, Myung-Wook;Ko, Kang-Woong;Min, Deuk-Gi;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2599-2601
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    • 2000
  • A helicopter control problem has been researched with many control theory. Especially, study of the hovering flight attitude control of a helicopter has been brisked since 60s with multivariable control theory. In this paper, the modeling is interpreted through the 6-freedom equation. To getting a entire equation, species of parameters and charts are adapted. The $H_2/H_{\infty}$ controller is acquired by mixing the $H_2$ control theory and the $H_{\infty}$ control theory. The $H_2$ control theory is reasonable one to increase the performance of a plant, and the $H_{\infty}$ control theory secures the robust stability. The simulation shows that the helicopter system is being controlled while maintaining performance and robust stability against perturbation.

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Design of An Extended Robust H$\infty$ Filter

  • Yu, Myeong-Jong;Lee, Jang-Gyu;Park, Cha- Gook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.77.3-77
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    • 2001
  • An extended robust H$\infty$ filter is proposed for a nonlinear uncertain system. We also analyze the characteristics of the proposed filter such as an H$\infty$ performance criterion using the Lyapunov function method. The analysis results show that proposed filter has a robustness against disturbances such as process and measurement noises and against parameter uncertainties. Then the in-flight alignment for a strapdown inertial navigation system is designed using the presented filter. Simulation results show that the proposed filter effectively improve the performance.

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Depth and Course Controller Design of Autonomous Underwater Vehicles using H$_\infty$ Servo Control (H$_\infty$ 서보제어를 이용한 무인 수중운동체의 심도 및 방향제어기 설계)

  • 김인수;정금영;양승윤;조상훈;정찬희;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.215-215
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    • 2000
  • In this paper, depth and course controllers of autonomous underwater vehicles using H$_{\infty}$ servo control are proposed. An H$_{\infty}$ servo problem is formulated to design the controllers satisfying a robust tracking property with modeling errors and disturbances. The solution of the H$_{\infty}$ servo problem is as follows: first, this problem is modified as an H$_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The H$_{\infty}$ depth and course controllers ate designed to satisfy with the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under disturbances(wave force, wave moment, tide). The performances(the robustness to the uncertainties, depth and course tracking properties) of the designed controllers are evaluated with computer simulations, and finally these simulation results show the usefulness and application of the proposed H$_{\infty}$ depth and course control systems.

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An Extended Robust $H_{\infty}$ Filter for Nonlinear Constrained Uncertain System

  • Seo, Jae-Won;Yu, Myeong-Jong;Park, Chan-Gook;Lee, Jang-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.565-569
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    • 2003
  • In this paper, a robust filter is proposed to effectively estimate the system states in the case where system model uncertainties as well as disturbances are present. The proposed robust filter is constructed based on the linear approximation methods for a general nonlinear uncertain system with an integral quadratic constraint. We also derive the important characteristic of the proposed filter, a modified $H_{\infty}$ performance index. Analysis results show that the proposed filter has robustness against disturbances, such as process and measurement noises, and against parameter uncertainties. Simulation results show that the proposed filter effectively improves the performance.

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Maneuvering Target Tracking in Uncertain Parameter Systems Using RoubustH_\inftyFIR Filters (견실한$H_\infty$FIR 필터를 이용한 불확실성 기동표적의 추적)

  • Yoo, Kyung-Sang;Kim, Dae-Woo;Kwon, Oh-Kyu
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.270-277
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    • 1999
  • This paper deals with the maneuver detection and target tracking problem in uncertain parameter systems using a robust{{{{ { H}_{ } }}}} FIR filter to improve the unacceptable tracking performance due to the parametr uncertainty. The tracking filter used in the current paper is based on the robust{{{{ { H}_{ } }}}} FIR filter proposed by Kwon et al. [1,2] to estimate the state signal in uncertain systems with parameter uncertainty, and the basic scheme of the proposed method is the input estimation approach. Tracking performance of the maneuver detection and target tracking method proposed is compared with other techniques, Bogler allgorithm [4] and FIR tracking filter [2], via some simulations to examplify the good tracking performance of the proposed method over other techniques.

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Design of an LMI- Based H^{\infty} Servo Controller for Tandem Cold Mill (LMI 에 기초한 연속 냉간압연기의 H^{\infty} 서보 제어기 설계)

  • Kim, In-Soo;Hwang, I-Cheol;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.1
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    • pp.25-34
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    • 2000
  • In this paper, we design a H^\infty servo controller for gauge control of tandem cold mill. To improve the performance of the AGC(Aotomatic Gauge Control) system based on the Taylor linearized model of tandem cold mill, the H^\infty servo controller is designed to satisfy robust stability, disturbance attenuation and robust tracking properties. The H^\infty servo controller problem is modified as an usual H^\infty control problem, and the solvability condition of the H^\infty servo problem depends on the solvability of the modified H^\infty control problem. Since this modified problem does not satisfied standard assumptions for the H^\infty control problem, it is solved by an LMI(Linear Matrix Inequality) technique. Consequently, the comparison between the H^\infty servo controller and the existing PID/FF(FeedForward) controller shows the usefulness of this study.

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Design of Robust $H^{\infty}$ Controller for Water Level Control of Steam Generator (증기발생기 수위 제어를 위한 견실$H^{\infty}$ 제어기 설계)

  • 서성환;조희수박홍배
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.223-226
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    • 1998
  • The control objective of steam generator water level in the secondary circuit of a nuclear power plant is to regulate the water level at the desired set point. The dynamics of steam generators is non-linear in nature. The task of modelling such plant is very difficult and especially so when plant operating conditions change frequently. In these reasons, conventional PI gains over all pover range will not work efficiently and a manual control is generally used in low power operation. Therefore the robust H$\infty$ controller design method should be required. In this paper, we design the robust H$\infty$ controller for water level control of steam generator using a mixed H$\infty$ optimization with model-matching method. Firstly we choose the desired model that has good disturbance rejection performance. Secondly we design a stabilizing controller to keep the model-matching error small and also provide sufficiently large stability margin against additive perturbations of the nominal plant.

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