• 제목/요약/키워드: Robust $H{\infty}$ controller

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무인 잠수정의 깊이 제어를 위한 T-S 퍼지 모델 기반 H 제어기 설계: 선형 행렬 부등식 접근법 (Design of T-S Fuzzy Model Based H Controller for Diving Control of AUV: An LMI Approach)

  • 전성우;김도완;이호재
    • 한국지능시스템학회논문지
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    • 제22권4호
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    • pp.441-447
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    • 2012
  • 본 논문은 무인 잠수정(Autonomous underwater vehicles: AUVs)의 타카기-수게노 (Takagi-Sugeno: T-S) 퍼지 모델 기반 $H_{\infty}$ 제어기 설계 기법을 제안한다. 설계 기법은 외란을 갖는 무인 잠수정의 깊이 제어 성능을 보장하는 안정성 있는 제어기 설계에 초점을 맞춘다. 비선형 무인 잠수정 시스템은 Sector nonlinearity 기법을 이용하여 T-S 퍼지 시스템으로 모델링된다. 리아푸노프(Lyapunov) 함수를 이용해 제어 성능을 보장하는 선형 행렬 부등식(linear matrix inequality: LMI) 형태의 $H_{\infty}$ 제어기 설계 조건을 유도한다. 성공적인 무인 잠수정의 깊이 제어를 위해 선형 행렬 부등식에 심도각과 피치각의 제한 조건을 고려한다. 시뮬레이션을 통해 제안된 기법의 성능을 검증한다.

2관성 공진 시스템의 강건제어 (The Robust Control of Two Mass Spring System)

  • 조도현;이종용;이상철
    • 전자공학회논문지T
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    • 제35T권3호
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    • pp.76-86
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    • 1998
  • 2관성 공진(TMS: Two-Mass Spring) 시스템은 비틀림 진동을 다루기 위하여 고려할 수 있는 가장 간단한 모델이다. 이러한 시스템은 비틀림 진동을 억제하며, 원하는 특성을 달성하기 위한 제어기 설계가 요구된다. 본 논문에서는 2관성 공진 시스템에 대하여 상태 피드백을 고려하고, 각 상태가 응답성능에 미치는 영향을 살펴본다. 이 결과와 상태 피드백의 이득을 이용하여 제어기의 설계 매개변수와 LQ 및 H/sub ∞/ 제어의 하중함수 결정에 대한 기본 지침을 제시한다.

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선형행렬부등식을 이용한 자기 부상계의 강인성 제어 (A Robustness Control of Magnetic Levitation System Using Linear Matrix Inequality)

  • 김창화;양주호
    • 동력기계공학회지
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    • 제3권4호
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    • pp.79-85
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    • 1999
  • The magnetic levitation system is utilized in the magnetic bearing of high-speed rotor system because of little friction, no lubrication, no noise and so on. The magnetic levitation system needs the feedback controller for the stabilization of system, and gap sensors are generally used to measure the gap. The use of sensor easily goes into troublesome caused by sensor failure discord between the measurement point and the control point etc. This paper gives a controller design method of magnetic levitation system which satisfies the given $H_{\infty}$ control performance and the robust stability of the presence of physical parameter perturbations. To the end, we investigated the validity of the designed controller through results of simulation.

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On Power System Frequency Control in Emergency Conditions

  • Bevrani, H.;Ledwich, G.;Ford, J. J.;Dong, Z.Y.
    • Journal of Electrical Engineering and Technology
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    • 제3권4호
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    • pp.499-508
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    • 2008
  • Frequency regulation in off-normal conditions has been an important problem in electric power system design/operation and is becoming much more significant today due to the increasing size, changing structure and complexity of interconnected power systems. Increasing economic pressures for power system efficiency and reliability have led to a requirement for maintaining power system frequency closer to nominal value. This paper presents a decentralized frequency control framework using a modified low-order frequency response model containing a proportional-integral(PI) controller. The proposed framework is suitable for near-normal and emergency operating conditions. An $H_{\infty}$ control technique is applied to achieve optimal PI parameters, and an analytic approach is used to analyse the system frequency response for wide area operating conditions. Time-domain simulations with a multi-area power system example show that the simulated results agree with those predicted analytically.

Control of Flexible Link using Mixed $H_2$/H$\infty$ and $\mu$-Synthesis Method

  • Y.W. Choe;Lee, H.K.;J.I. Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.95.3-95
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    • 2001
  • This paper investigates the simultaneous use of mixed H2/H_inf and mu-synthesis design methodology to design a robust controller for flexible link. We adopt four steps to design control system as follows: Step 1 : Generally, there are differences between the nominal and real model, so we consider the plant as a combination of parametric model uncertainty and unstructured uncertainty represents real structural uncertainties associated with the damping ratios of the flexible modes retained in the nominal model without payload. denotes the uncertainty which is due to the payload added at the tip. Step 2 : We adopt the mixed H2/H_inf theory to design a feedback controller K(s) by using the model uncertainty ...

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지능구조물의 다목적 상태궤환 제어 (Multiobjective State-Feedback Control of Smart Structural Systems)

  • 홍성일;박현철;박철휴
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.452-458
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    • 2003
  • This paper presents a robust vibration control methodology of smart structural systems. The governing equations and associated boundary conditions are derived by Hamilton's principle. A robust controller is designed using a linear matrix inequality (LMI) approach to the multiobjective synthesis. The design objectives are to achieve a mix of H$\sub$$\infty$/ performance and H$_2$ performance satisfying constraints on the closed-loop pole locations in the face of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the multiple modes of vibration of the piezo/beam system.

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광 디스크 드라이브 서보 설계를 위한 강건 제어 이론의 적용 및 평가 : H vs. QFT (Robust Servo Design and Application for Optical Disk Drive Using Robust Control Theory : H vs. QFT)

  • 이광현;양현석;박노철;박영필;최진영
    • 한국소음진동공학회논문집
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    • 제15권10호
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    • pp.1148-1159
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    • 2005
  • In this paper, the various uncertainties generated in an optical disk drive (ODD) and the robust servo designs considering the uncertainties are studied. First, the brief introduction an ODD and the servo error tolerance of it are discussed. Then, the classifications of uncertainty and the concept of relative stability are introduced. Considering the uncertainty of an ODD, two robust control approaches are applied: (i) mixed sensitivity approach in H$\infty$ control theory for unstructured uncertainty, (ii) QFT for structured uncertainty Finally, the designed controllers are realized by DSP, and these controllers are applied to a commercial DVD-ROM drive. From these experiments, we prove that the designed robust controllers have more good disturbance rejection performance and robustness when it is compared to the conventional lead-lag controller.

Robust Tuning of PID Controller With Disturbance Rejection Using Bacterial Foraging Based Optimization

  • Kim, Dong-Hwa;Cho, Jae-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1092-1097
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    • 2005
  • In this paper, design approach of PID controller with rejection function against external disturbance in motor control system is proposed using bacterial foraging based optimal algorithm. Up to the present time, PID Controller has been used to operate for AC motor drive because of its implementational advantages in practice and simple structure. However, it is not easy to achieve an optimal PID gain with no experience, since the gain of the PID controller has to be manually tuned by trial and error in the industrial system with disturbance. To design disturbance rejection tuning, disturbance rejection conditions based on $H_{\infty}$ are illustrated and the performance of response based on the bacterial foraging is computed for the designed PID controller as ITSE (Integral of time weighted squared error). Hence, parameters of PID controller are selected by bacterial foraging based optimal algorithm to obtain the required response

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Design and Experimental Evaluation of a Robust Force Controller for a 6-Link Electro-Hydraulic Manipulator via H$_{\infty}$ Control Theory

  • Ahn, Kyoung-Kwan;Lee, Byung-Ryong;Yang, Soon-Yong
    • Journal of Mechanical Science and Technology
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    • 제17권7호
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    • pp.999-1010
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    • 2003
  • Uninterrupted power supply has become indispensable during the maintenance task of active electric power lines as a result of today's highly information-oriented society and increasing demand of electric utilities. This maintenance task has the risk of electric shock and the danger of falling from high place. Therefore it is necessary to realize an autonomous robot system using electro-hydraulic manipulators because hydraulic manipulators have the advantage of electric insulation and power/mass density. Meanwhile an electro-hydraulic manipulator using hydraulic actuators has many nonlinear elements, and its parameter fluctuations are greater than those of an electrically driven manipulator. So it is relatively difficult to realize not only stable contact work but also accurate force control for the autonomous assembly tasks using hydraulic manipulators. In this paper, the robust force control of a 6-link electro-hydraulic manipulator system used in the real maintenance task of active electric lines is examined in detail. A nominal model for the system is obtained from experimental frequency responses of the system, and the deviation of the manipulator system from the nominal model is derived by a multiplicative uncertainty. Robust disturbance observers for force control are designed using this information in an H$\_$$\infty$/ framework, and implemented on the two different setups. Experimental results show that highly robust force tracking by a 6-link electro-hydraulic manipulator could be achieved even if the stiffness of environment and the shape of wall change.

다층상구조물의 강인 진동제어에 관한 연구 (A Study of Robust Vibration Control for a Multi-Layer Structure)

  • 김창화;정병건;정해종
    • Journal of Advanced Marine Engineering and Technology
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    • 제33권8호
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    • pp.1212-1219
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    • 2009
  • 본 연구에서는 실용설계의 새로운 도구로써 제어계의 강인성, 성능, 안정성 등의 설계지침을 정량화하기 쉽고 해가 효율적으로 구해져 주목받는 선형행렬부등식을 이용하여 강인한 LMI 제어기를 설계한다. 우선 다층상 구조물의 진동제어를 위해 수학적 모델링을 행하고 적분형 서보계를 적용한 LMI 제어 기법으로 상태 피드백 제어칙을 설계한다. 다음으로 설계한 제어칙으로 시스템 불확실성의 변동에 대해 시간영역의 설계사양을 고려한 경우와 고려하지 않은 경우에 대하여 시뮬레이션을 행하고 실제 적용 가능성을 검토한다.