• 제목/요약/키워드: $H_2$/$H_{\infty}$ Control

검색결과 238건 처리시간 0.027초

$H_2/H_\infty$$\mu$ 이론을 이용한 유연 빔의 위치제어 (Robust Positioning Control of a Flexible beam using $H_2/H_\infty$ and $\mu$ theory)

  • 최연욱;이형기
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2000년도 하계종합학술대회논문집
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    • pp.133-136
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    • 2000
  • The objective of this paper is to present a method for designing robust positioning control systems of a flexible arm using $H_2/H_{\infty}$ and $\mu$ theory. We begin with a description of the flexible arm based on the model identification method and discuss the derivation of the model uncertainty. The validity of the obtained model is confirmed experimentally Next, a robust controller is designed based on the $H_2/H_{\infty}$ and $\mu$ theory by which we can improve robustness of the entire system. On this occasion, we also propose a general plant formation suitable to $H_2/H_{\infty}$ control. Finally, the effectiveness of the proposed design method is verified through experimentation.

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슬라이딩모드와 LMI를 이용한 강인 $H{\infty}$ 제어 (Robust $H{\infty}$ Control Using Sliding Mode and LMI)

  • 김수진;김민찬;박승규;안호균;곽군평;윤태성
    • 한국정보통신학회논문지
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    • 제11권2호
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    • pp.316-321
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    • 2007
  • [ $H{\infty}$ ] 제어기는 외란이나 잡음에 대해서 강인한 성능을 가지고 있지 만 파라미터 불확실성이 존재하면 제어입력을 구하기가 쉽지 않으며 불확실성의 영향에 따라서 제어 성능에 큰 차이를 보인다. 하지 만 슬라이딩 모드제어는 파라미터 불확실성에 대하여 우수한 강인성을 가지고 있는 제어 기법이다. 그러므로 본 논문에서는 슬라이딩 모드 제어기법을 도입하여 LMI를 이용한 $H{\infty}$ 제어기의 강인성을 향상시킬 수 있는 제어 기법을 제안한다.

2관성계의 $H_{\infty}$ 필터를 이용한 새로운 전동억제제어 (New Vibration Suppression Control of 2-Mass System using $H_{\infty}$ Filter)

  • 김진수;유상봉
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 2002년도 학술대회논문집
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    • pp.339-342
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    • 2002
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. To solve this problem H$_{\infty}$ controller was designed. In this paper, H$_{\infty}$ control of 2-mass system using H$_{\infty}$ filter for compensating shaft torque is proposed. Pole-zero maps show the validity of proposed controller.

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시간지연을 갖는 비선형 시스템의 퍼지 H2H 제어기 설계 (Fuzzy H2H Controller Design for Delayed Nonlinear Systems)

  • 조희수;이갑래;박홍배
    • 제어로봇시스템학회논문지
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    • 제8권7호
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    • pp.578-583
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    • 2002
  • This paper presents a method for designing fuzzy $H_2/H_{\infty}$ controllers of nonlinear systems with time varying delay. Takagi-Sugeno fuzzy model is employed to represent nonlinear systems with time varying delay. Using a single quadratic Lyapunov function, the globally exponential stability and $H_2/H_{\infty}$ performance problem are discussed. A sufficient condition for the existence of fuzzy $H_2/H_{\infty}$ controllers is then presented in terms of linear matrix inequalities(LMls). The proposed fuzzy $H_2/H_{\infty}$ controllers minimizes the upper bound on the linear quadratic performance measure.

시간지연 선형시스템의 $H_{\infty)$ 제어 ($H_{\infty)$ Control of Linear Delay Systems)

  • 정은태;권성하;김종해;박홍배
    • 제어로봇시스템학회논문지
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    • 제4권2호
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    • pp.151-156
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    • 1998
  • This paper presents an $H_{\infty)$ output feedback controller design method for linear systems with delayed state, delayed control input, and delayed masurement output. Using a Lyapunov functional, the stability for delayed systems is discussed independently of delays. Also, sufficient condition for the existence of $H_{\infty)$ controllers of any order is given in terms of three linear matrix inequalities(LMIs). Based on positive definite solutions of their LMIs, we briefly explain the way to construct $H_{\infty)$ controller, which stabilizes time-delay systems independently of delays and guarantees an $H_{\infty)$norm bound.

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

  • 최광진;황준하;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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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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The Discrete-Time $H_2$/$H_{\infty}$ Control Synthesis : State Feedback Case

  • Bambang, Riyanto;Shimemura, Etsujiro;Uchida, Kenko
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.858-863
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    • 1990
  • A synthesis of feedback control-law with combined H$_{2}$/H$_{\infty}$ perfoemance criteria is proposed for discrete-time systems, under the assumption that the state is available for feedback. An auxiliary minimization problem is defined to enforce the H$_{\infty}$ disturbance attenuation constrain while minimizing the H$_{2}$ performance bound. The design equation is presented in terms of a modified Riccati equation which leads to the standard LQ solution when the H$_{\infty}$ constraint is completely relaxed. The results of the paper clarity the correspondences between H$_{2}$/H$_{\infty}$ results in discrete-time systems and their continuous-time counter-parts.rts.

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$H_\infty$제어기법에 의한 다층 층상 구조물의 진동제어에 관한 연구 (A Study on Vibration Control of Multi-layer Structure by $H_\infty$Control)

  • 정해종;김창화;변정환;양주호
    • 소음진동
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    • 제7권5호
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    • pp.803-810
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    • 1997
  • This paper is concerned with the vibration control of multi-layer structure for ultra-tall buildings and main tower of large bridge etc. We have modeled the multi-layer structure with the distributed mass system as the lumped mass system of two-degree-of-freedom structure and made experimental equipment. The $H_\infty$control theory was applied to the design of the control system. The designed control system was simulated by computer. As a result, the designed $H_\infty$controller showed the good vibration control performance to impulse response and frequency response.

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2관성계의 부분적인 상태궤환을 갖는 $H_{\infty}$제어 (Partial State Feedback $H_{\infty}$ Control of Two-Mass System)

  • 한윤석;김영석
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제48권10호
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    • pp.562-570
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    • 1999
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. This vibration, which is generated in a two-mass mechanical system. To solve this problem, recently there has been a lot of researches for the robust control relevant to the $H_{\infty}$ control suppressing the torsional vibration and rejecting the torque disturbance. In the case of the $H_{\infty}$controller, however, the command tracking property becomes worse because of overshoot during transient response. For this reason the $H_{\infty}$ controller, which includes the two-degrees-of-freedom(TDOF) controller, is designed in order to improve command tracking property. However, it also includes complexity realizing this controller. In this paper, a new $H_{\infty}$ controller with partial state feedback is proposed. Proposed $H_{\infty}$controller has simple structure but satisfies with the fast command tracking property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF $H_{\infty}$ controller.

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시간지연 및 파라미터 불확실성을 갖는 선형시스템의 혼합 $H^{2}$/$H^{\infty}$ 제어기 설계 (Mixed $H^{2}$/$H^{\infty}$ controller design for linear system with time delay and parameter uncertainty)

  • 이갑래;정은태;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.560-564
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    • 1996
  • A mixed H$^{2}$/$H^{\infty}$ controller design method for linear systems with time delay in all variables and parameter uncertainties in all system matrices is proposed. Robust $H^{\infty}$ performance and H$^{2}$ performance condition that accounts for model-matching of closed loop system and disturbance rejection is also derived. With expressing uncertain system with linear fractional transformation form, we transform the robust stability and performance problem to the H$^{2}$/$H^{\infty}$ optimization problem and design a mixed H$^{2}$/$H^{\infty}$ controller. Using the proposed method, mixed H$^{2}$/$H^{\infty}$ controller for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.t performance.ance.

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