• Title/Summary/Keyword: $H_\infty$ 제어

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Design of Robust Speed Controllers for Marine Diesel Engine (선박용 대형 디젤 기관의 강인 속도 제어기 설계)

  • Hwang, Soon-Kyu;Lee, Young-Chan;Kim, Chang-Hwa;Jung, Byung-Gun
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.6
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    • pp.820-828
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    • 2011
  • Energy saving is one of the most important factors for profits in marine transportation. In order to reduce the specific fuel oil consumption, the ship's propulsion efficiency must be increased as much as possible. The propulsion efficiency depends upon a combination of propulsion engine and propeller that has better efficiency as lower rotational speed. As the engine has lower speed the variation of rotational torque become larger because of the longer delay time in fuel oil injection process. In this study, robust control theory is applied to the design of engine speed controllers which are sub-optimal $H_{\infty}$ controller, $H_{\infty}$ loop-shaping controller and ${\mu}$-synthesis controller considering robust stability and robust performance. And the validity of these three controllers is investigated through the results of computer simulation.

A Study on Design of Optimal Satellite-Tracking Antenna $H{\infty}$ Control System (최적 위성추적 안테나 $H{\infty}$ 제어 시스템의 설계에 관한 연구)

  • Kim, Dong-Wan;Jeong, Ho-Seong;Hwang, Hyun-Joon
    • Journal of IKEEE
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    • v.1 no.1 s.1
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    • pp.19-30
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    • 1997
  • In this paper we design the optimal satellite-tracking antenna $H{\infty}$ control system using genetic algorithms. To do this, we give gain and dynamics parameters to the weighting functions and apply genetic algorithms with reference model to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by Glover-Doyle algorithm which can design $H{\infty}$ controller in the state space. These weighting functions and design parameter ${\gamma}$ are optimized simultaneously in the search domain guaranteeing the robust stability of closed-loop system. The effectiveness of this satellite-tracking antenna $H{\infty}$ control system is verified by computer simulation.

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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.

Design of $H_{\infty}$Controller for the inverted pendulum system (도립진자 시스템의 $H_{\infty}$ 제어기 설계)

  • Seo, Kang-Myun;Kang, Moon-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.10
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    • pp.1796-1803
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    • 2006
  • This Paper describes a systematic method for designing the $H_{\infty}$ controller for the inverted pendulum which is a nonlinear and single-input double-outputs system. In particular, the open-loop system is conbined with a pre-filter to shape the open-loop transfer function for the sensitivity function ind the complementary sensitivity function to be kept the desirable frequency characteristics. Consequently, the loop shaping technique of the open-loop transfer function reduces the impacts of the model uncertainties, measurement noises and exogenous disterbances on the dynamic characteristics of the inverted pendulum. The results of simulation and experiment show the efficiency of the proposed control method comparing with conventional PID control method.

$H^{\infty}$ Optomal Control Using the Lagrange Multiplier Method (Lagrange 승산자 방법을 이용한$H^{\infty}$최적제어)

  • 전재완;윤한오;박홍배;김수중
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.40-45
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    • 1991
  • This paper deals with the design of feedback controllers which minimize the $H^{\infty}$-norm of the weighted sensitivity function. Using the Lagrange multiplier method and the Nevanlinna-Pick interpolation theory, an algorithm which stabilizes a plant and makes the output to track the reference signal is proposed..

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Design of decentralized $H^\infty$ state estimator using the generalization of $H^\infty$ filter in indefinite inner product spaces (부정 내적 공간에서의 $H^\infty$필터의 일반화를 통한 분산 $H^\infty$상태 추정기의 설계)

  • 김경근;진승희;최윤호;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1464-1468
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    • 1997
  • We propose a decentralized state estimation method in the multisensor state estimation problem. The proposed method bounds teh maximum energy gain from uknown external disturbances to the estimation errors in the suboptimal case. And we formulate aternative H/sip .inf./ filter gain equatiions with teh idea that the suboptimal H.$^{\infty}$ filter is the special form of Kalman filter filter whose state equations are defined in indefinite inner product spaces. Using alternative filter gain equations we design the decentralized $H^{\infty}$ state estimator which is composed of local filters and central fusion filter that are suboptimal in the $H^{\infty}$ sense. In addition, the proposed update equations between global and local data can reduce unnecessary calculation burden efficently.y.

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$H_\infty$ Controller Design for Discrete-time Linear Systems with Time-varying Delays in States using S-procedure (S-procedure를 이용한 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 $H_\infty$ 제어기 설계)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.2
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    • pp.95-103
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    • 2002
  • This paper deals with the H$_{\infty}$ control problems for discrete-time linear systems with time-varying delays in states. The existence condition and the design method of the H$_{\infty}$ state feedback controller are given. In this paper, the H$_{\infty}$ control law is assumed to be a memoryless state feedback, and the upper-bound of time-varying delay and S-procedure are used. Through some changes of variables and Schur complement, the obtained sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

High Speed Positioning of a Pneumatic Control System with a $H_{\infty}$ Controller ($H_{\infty}$ 제어기를 이용한 공기압 구동시스템의 위치제어 성능 향상에 관한 연구)

  • Jang, J.S.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.67-72
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    • 1998
  • To improve control performance, especially positioning speed, of a pneumatic positioning system, dynamic characteristics of a control valve should be considered. In case we design controller including dynamic characteristics of a control valve, it's not easy to design controller gain using simple state feedback because degree of a control system is increased. This study designed controller using loop shaping of $H_{\infty}$ control theory for a model composed of a pneumatic actuator and a control valve, and positioning experiment using this controller was performed. As a result, it was verified that the controller is useful for high speed positioning of a pneumatic positioning system.

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Force Tracking Control of a Small-Sized SMA Gripper H$_\infty$ Synthesis (H$_\infty$ 제어기법을 적용한 소형 SMA 그립퍼의 힘 추적 제어)

  • 한영민;최승복;정재천
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.391-395
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    • 1996
  • This paper presents a robust force tracking control of a small-sized SMA gripper with two fingers using shape memory alloy(SMA) actuators. The mathematical governing equation of the proposed system is derived by Hamilton's principle and Lagrangian equation and then, the control system model is integrated with the first-order actuator dynamics. Uncertain system parameters such as time constant of the actuators are also included in the control model. A robust two degree of freedom(TDF) controller using H$_{\infty}$ control theory, which has inherent robustness to model uncertainties and external disturbances, is adopted to achieve end-point force tracking control of the two-finger gripper. Force tracking control performances for desired trajectories represented by sinusoidal and step functions are evaluated by undertaking both simulation and experimental works.

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Digital Implementation of $H_\infty$ Optimal Controller ($H_\infty$ 최적제어기의 이산화 구현)

  • 김광우;오도창;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.471-476
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    • 1993
  • In this paper we proposed the digital implementation of an $H^{\infty}$-optimal controller using lifting technique and $H^{\infty}$-control theory. The discrete controller is obtained through iterative adjustment of sampling time and weighting function, which can ber performed by computing the L$_{2}$-induced input to output norm of the sampled-data system with bandlimited exogenous input. The resulting sampled-data bandlimited exogenous input. The resulting sampled-data system is stable and the performance including inter-sampling behaviour of the hybrid system can be also optimized.d.

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