• Title/Summary/Keyword: $\mu$-synthesis합성법

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A study on the speed control system of medium - small size diesel engine by $\mu$-synthesis ($\mu$-synthesis 기법에 의한 중.소형 디젤기관의 속도 제어계에 관한 연구)

  • 양주호;변정환;정병건
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.1
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    • pp.82-87
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    • 1997
  • This paper presents a method about the modeling of the medium - small diesel engine for the speed control and designs the robust speed control system by the $\mu$-synthesis, which has good performance, in spite of the existence of model uncertainities and the external disturbance. We confirmed the validity of the proposed modeling method and the designed control system by $\mu$-synthesis through the experimental responses.

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Robust Control of a Seeker Scan Loop System Using ${\mu}$-Systheis (${\mu}$-합성법을 이용한 탐색기 주사루프의 강인 제어)

  • Lee, Ho-Pyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.180-188
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    • 1999
  • ${\mu}$-synthesis is applied to design a robust controller for a seeker scan loop system which has model uncertainty and is subject to a external disturbance due to abrupt missile maneuver. The issue of modelling a real-valued parametric uncertainty of a physical seeker scan loop system is discussed. The two-degree-of-frame control structure is employed to obtain better performance. It is shown that ${\mu}$-synthesis provides a superior framework for the robust control design of a seeker scan loop system which exhibits robust performance. The proposed robust control system satisfies design requirements, and especially shows good scanning performances for conical and rosette scan patterns despite parametric uncertainty in real system model.

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Experimental Study on the Active Controller of Structures Considering Modeling Uncertainty (구조물의 모델링 불확실성을 고려한 능동 제어기의 실험연구)

  • 민경원;김성춘
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.53-61
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    • 2000
  • 능동 제어기를 설계하기 위해서는 제어대상 구조물의 수학모델의 구해야한다. 그러나, 무한차원의 구조물에 대하여 정확한 모델을 구하는 것은 불가능하므로 유한차원인 저차원화된 모델을 사용하여 제어기를 설계한다. 그러나, 실제 구조물과 저차원화된 모델사이의 오차에 의하여 제어기의 성능이 저하가 되면 제어기와 구조물의 상호작용, 지진과 같은 오란 등의 불확실성, 지진시 구조물의 동적 특성 변화로 인하여 제어기의 성능이 더욱 저하가 된다. 이러한 저하 요인은 제어기 설계시 요구되는 구조물의 수학모델에 대한 불확실한 요소로 작용하기 때문에 제어성능의 저하를 일으키며 응답의 불안정을 유발하기로 한다. 본 연구에서는 질량형 능동제어기(AMD)가 설치된 3층 건물 모형의 모델 오차에 관한 불확실성을 반영한 강인제어기법을 적용하여 제어성능과 안정성을 실험을 통하여 분석하였다. 강인제어 기법인 $\mu$ 합성법에 요구되는 여러 가지 가중함수인 주파수필터는 건물과 AMD의 특성, 모델 오차, 제어율과 AMD 성능의 , 측정잡음 및 지진외란의 특성 등을 고려하여 정량적으로 선택되었다. $\mu$합성법에 의하여 제어기를 설계하였으며 강인성을 비교하기 위하여 불확실성이 고려되지 않는 LQG 기법에 의한 제어기를 선택하였다. $\mu$합성법은 규정된 불확성에 대하여 제어의 강인성을 가지므로 동적특성이 바뀐 건물모형에 관한 강인성을 LQG 기법에 의한 제어성능과 비교하였다. 그 결과 동적특성이 변화된 건물에 대하여 $\mu$합성법만이 제어의 효율성이 유지되는 강인성을 나타내었다.

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Synthesis and characterization of potassium titanate whisker by flux method (융제법을 이용한 티탄산칼륨 휘스커의 합성과 특성)

  • Choi, Yeon-Bin;Son, Jeong-hun;Bae, Dong Sik
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.26 no.4
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    • pp.150-154
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    • 2016
  • Method for synthesizing a $K_2Ti_6O_{13}$ whisker is a solid-state method, hydrothermal synthesis method, calcination method, flux method, slow-cooling method, melting method, kneading-drying-calcination method, sol-gel method etc. $K_2Ti_6O_{13}$ whisker have been synthesized by a flux method. The average size and distribution of the synthesized $K_2Ti_6O_{13}$ whisker can be controlled by a kind of potassium precursors and reaction temperature and time. The average size of the synthesized $K_2Ti_6O_{13}$ whisker was about in the size range of 500 nm to $2{\mu}m$. The effect of synthesis parameters, such as the molar ratio of KOH to $TiO_2$, pH, reaction temperature and time, are discussed. The synthesized $K_2Ti_6O_{13}$ whisker were characterized by x-ray diffraction analysis (XRD), field emission scanning electron microscopy (FE-SEM).

Robust Analysis of a μ-Controller for a Cable-Stayed Bridge with Various Uncertainties (사장교에서 다양한 불확실성에 대한 μ-제어기의 강인성 해석)

  • Park, Kyu Sik;Spencer, B.F.Jr.;Kim, Chun Ho;Lee, In Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5A
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    • pp.849-859
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    • 2006
  • This paper presents an extensive robust analysis of a ${\mu}$-controller in the hybrid system for various uncertainties using the benchmark cable-stayed bridge. The overall system robustness may be deteriorated by introducing active devices and the active controller may cause instability due to small margins. Therefore, a ${\mu}$-synthesis method that simultaneously guarantees the performance and stability of the closed-loop system (robust performance) with uncertainties is used for active devices to enhance the robustness in company with the inherent reliability of passive devices. The robustness of the ${\mu}$-synthesis method is investigated with respect to the additional mass on the deck, structural stiffness matrix perturbation, time delay of actuator, and combinations thereof. Numerical simulation results show that the proposed control system has the good robustness without loss of control performances with respect to various uncertainties under earthquakes considered in this study. Furthermore, the control system robustness is more affected by the perturbation of structural stiffness matrix than others considered in this study. Therefore, the hybrid system controlled by a ${\mu}$-synthesis method could be proposed as an improved control strategy for a seismically excited cable-stayed bridge containing many uncertainties.

A Robust Controller Design for the Position Control of a Spring-Mass System (탄성-질량시스템의 위치제어를 위한 강건 제어기 설계)

  • 박종우;이상철
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.36T no.3
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    • pp.41-49
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    • 1999
  • In this paper, we design a controller using the $\mu$-synthesis method and apply it for the spring-mass system with noncollocated sensors and actuators. We assume that the values of the spring stiffness and load mass of the plant are uncertain. The plant is modeled with parametric uncertainty by using the state space equation, especially the descriptor form. The $H_\infty$ controller designed by the $\mu$-synthesis method is compared with the standard $H_\infty$ controller To compare performances of two $H_\infty$ controllers, it is assumed that both controllers were designed with same weighting functions except that the $\mu$-synthesis controller has structured uncertainties. By compared with the standard $H_\infty$ controller, we show that the designed controller has satisfactory robust performance as well as robust stability by simulations and experiments.

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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.

Position and Vibration Control of a Flexible Manipulator Using $\mu$-Synthesis ($\mu$-합성법에 의한 유연한 조작기의 위치 및 진동제어)

  • Park, No-Cheol;Yang, Hyun-Seok;Park, Young-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3186-3198
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    • 1996
  • When a robot is to have contact with its enviornment, such as a medi-care robot, it would be advantageous for the robot to have a high compliance. For this reason, a robot having not only a flexible link but also an actuator with compliance, is desirable. This paper is concerned with the position and vibration control of 1 degree of freedom flexible robot using a pneumatic artificial muscle actuator. The dynamics of the manipulator assumed to be and Euler-Bernoulli beam are derived on the basis of the linear mathematical modle. Although this pneumatic artifical muscle actuator has many merits for the compliance robot, it is difficult to make an effective control scheme of this system because of ths nonlinearity and uncertainty on the dynamics of the actuator. By designing a controller using .mu.-synthesis, robust performance against measurement noise, various modeling uncertainties on the dynamics of the servo valve, actuator and mainpulator, is achieved. The effectiveness of the proposed control method is illustrated through simulations and experiments.

Preparation of $Pb(Sc_{1/2}Ta_{1/2})O_3$, by the molten salt synthesis method (용융염 합성법에 의한 $Pb(Sc_{1/2}Ta_{1/2})O_3$의 제조)

  • Park, Kyung-Bong;Kim, Tae-Huei
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.15 no.3
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    • pp.99-103
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    • 2005
  • Lead scandium tantalate powders were prepared by a molten salt synthesis method using NaCl-KCl as a flux. Variations in phase formation and particle morphology were investigated for the temperature range from $700^{\circ}C\;to\;800^{\circ}C$. $Pb(Sc_{1/2}Ta_{1/2})O_3$, with pure perovskite phase was formed at $750^{\circ}C$ fur 2 hrs and the prepared powder had the cubic-like morphology and the average particle size below $0.5{\mu}m$. The results were discussed with respect to DTA, X-ray diffraction, and microstructural characterization data.

Synthesis and characterization of Y2O3 : Eu3+ red nano phosphor powders using RF thermal plasma (RF 열플라즈마를 이용한 Y2O3:Eu3+ 적색 나노 형광체 분말 합성)

  • Lee, Seung-Yong;Koo, Sang-Man;Hwang, Kwang-Taek;Kim, Jin-Ho;Han, Kyu-Sung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.25 no.6
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    • pp.272-279
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    • 2015
  • $Y_2O_3:Eu^{3+}$ is an excellent red-emitting phosphor, which has been widely used for display devices due to highly luminescent property and chemical stability. In this study, $Y_2O_3:Eu^{3+}$ red phosphors were prepared using the solid state reaction and RF thermal plasma synthesis. The particle size of $Y_2O_3:Eu^{3+}$ phosphors obtained by the solid state reaction varied from 10 to $20{\mu}m$, and 30~100 nanometer sized $Y_2O_3:Eu^{3+}$ particles were obtained from a liquid form of raw material through RF thermal plasma synthesis without an additional heat treatment. Photoluminescence measurements of the obtained $Y_2O_3:Eu^{3+}$ particles showed a red emission peak at 611 nm ($^5D_0{\rightarrow}^7F_2$). PL intensity of red nano phosphors prepared by RF thermal plasma synthesis was comparable to that of red phosphors prepared by the solid state reaction, indicating that nano-sized $Y_2O_3:Eu^{3+}$ red phosphors could be successfully synthesized using one-step process of RF thermal plasma.