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

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Autopilot Design with Two Degree of Freedom $H_{\infty}$ Control Method (2자유도 $H_{\infty}$제어기를 이용한 비행체 자동조종장치 설계)

  • 최광진;황준하;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1304-1307
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    • 1996
  • In this paper, we present a robust Two Degree of Freedom (TDF) $H_{\infty}$ controllers for a missile system. The feedback controller is designed to meet robust stability and disturbance rejection specifications while the prefilter is used to improve the robust model matching properties of the closed loop system. As the perturbed model, we use the normalized coprim factor perturbations. These controllers are designed using $H_{\infty}$ optimization procedures, and applied to a missile model via simulation.

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Robust Controller Design by $\textrm{H}_\infty$ Method for a Launch Vehicle ($\textrm{H}_\infty$ 기법에 의한 발사체의 견실한 제어기 설계)

  • 이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.463-468
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    • 1992
  • In this paper, discrete-time H$_{\infty}$ controller design in .delta.- domaion using Normalized Coprime Factor plant description is proposed and the loop-shaping method developed by Mcfalane[2], which is known to be very simple and systematic method, is adopted here in H$_{\infty}$ controller design. In particular, we show that .delta.- H$_{\infty}$ controller proposed here is a unified form for the continuous and discrete-time cases.es.

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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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H Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay (시간지연을 갖는 이산 비선형 마코비안 점프 시스템의 H 퍼지 제어)

  • Lee, Kap-Rai;Lee, Kyung-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.779-786
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    • 2009
  • This paper deals with $H_{\infty}$ fuzzy control problem of discrete-time nonlinear Markovian jump systems with time delay. The Takgi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the Markovian jump fuzzy system with time delay. Stochastic Lyapunov function is dependent on the operation modes of the system. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller are given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficient of the proposed design methods.

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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$H_{\infty}$ Control of Seeker Scan-Loop using LSDP (LSDP를 이용한 탐색기 주사루프의 $H_{\infty}$ 제어)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.78-86
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    • 1995
  • $H_{\infty}$ Controller of seeker scan-loop is designed using LSDP proposed by McFarlane. The performance and robustness of $H_{\infty}$ controller are analyzed using robustness theorems by Lehtomaki and compared with those of the LQG/LTR controller. Especially, structured singular value .mu. -test of Doyle is used to evaluate robust performance of seeker scan-loop. It is demonstated that seeker scan-loop by $H_{\infty}$ controller is very robust to model uncertainties described by additive and multiplicative perturbations.

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The Control of Spring-Mass-Damper Convergence System using H Controller and μ-Synthesis Controller (H 제어와 μ-합성 제어를 이용한 스프링-질량-감쇠 융합시스템 제어)

  • Jung, Sunghun
    • Journal of the Korea Convergence Society
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    • v.8 no.5
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    • pp.1-11
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    • 2017
  • With a given spring-mass-damper system, $H_{\infty}$ and ${\mu}$-synthesis control methods are used to build system controllers which minimize vibrations at two major natural frequencies in two cases; without uncertainty; with 20% uncertainty. In order to check the stability and performance of two controllers, those are examined using GM and PM values. The signal strength of output responses is compared using the concept of central numerical differentiation and then results are quantified using the RMS method. Lastly, 40 random samples of $H_{\infty}$ and ${\mu}$-synthesis controllers are obtained for three different $W_{per\;f1}$ weighting functions and drawn in the time domain in order to compare the stability. Overall, ${\mu}$-synthesis controller manages the vibrations much better than $H_{\infty}$ controller according to the robust stability and performance values obtained by simulating random samples of 40 plant models.

[ $H_{\infty}$ ] Pressure Control of Pneumatic Valve Driven by Piezoactuators (압전 작동기로 구동 되는 공압 밸브의 $H_{\infty}$ 압력제어)

  • Yoo, J.K.;Cho, M.S.;Choi, S.B.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.673-678
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    • 2001
  • This paper proposes a new type of piezoactuator-driven valve system. The piezoceramic actuator bonded to both sides of a flexible beam surface makes a movement required to control the pressure at the flapper-nozzle of a pneumatic valve system. After establishing a dynamic model, an appropriate size of the valve system is designed and manufactured. Subsequently, a robust $H_{\infty}$ control algorithm is formulated in order to achieve accurate tracking control of the desired pressure. The controller is experimentally realized and control performance for the sinusoidal pressure trajectory is presented in time domain. The control bandwidth of the valve system, which directly represents the fastness, is also evaluated in the frequency domain.

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Nonlinear PSS by Lie Group Theory based $H{\infty}$ Switching Control (Lie Group Theory에 기준한 $H_{\infty}$ 스위칭 제어 비선형 전력계통안정화장치(NPSS))

  • Lee, Sang-Seung;Li, Shan-Ying;Park, Jong-Keun;Moon, Sung-Il;Yoon, Yong-Tae
    • Proceedings of the KIEE Conference
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    • 2004.11b
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    • pp.179-182
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    • 2004
  • 본 논문에서는 Lie Group theory에 기준한 $H_{\infty}$ 스위칭 제어기에 의한 비선형 전력계통안정화장치 (NPSS)를 설계하고 이를 1기 무한 모선에 적용하여 제안된 제어기의 제어효과 및 영향분석을 실시하였다. 이 분석에 사용된 기존의 PSS type은 Lead-lag 형태의 선형화 제어기이며, 제안된 제어기는 전력계통에 매우 강한 비선형을 반영하여 제어가 가능한 Lie Group theory에 기준한 비선형 제어기로 되어있다. 제안된 Lie Group theory에 기준한 비선형 전력계통안정화장치 (NPSS)의 효과분석은 MATLAB을 이용하여 1기 4차 비선형 전력계통의 모델에 적용하여 시뮬레이션하였다.

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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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