• 제목/요약/키워드: $H_{\infty)$ control

검색결과 704건 처리시간 0.032초

모델변환을 이용한 시간지연 선형시스템의 지연종속 $H_{\infty}$ 제어 (Design of $H_{\infty}$ Control of Time-Delayed Linear Systems Using Model Transformation)

  • 마삼선;이희송;김진훈
    • 대한전기학회논문지:시스템및제어부문D
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    • 제50권9호
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    • pp.409-416
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    • 2001
  • This paper deals with the design of delay-dependent $H_{\infty}$ control for time-delayed linear systems. We propose the two different model transformations to handle efficiently the time delay and derive conditions linear matrix inequalities (LMI's) of which are dependent on the size of time-delay and its time-derivative. The $H_{\infty}$ controller is obtained by checking the feasibility of these LMI's. Finally, we show the usefulness and applicability of our results by an example.

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포화 구동기를 갖는 시간지연 선형시스템의 $H_{\infty}$ 추종 제어기 ([ $H_{\infty}$ ] Tracking Control of Time-delayed Linear Systems with Saturating Actuators)

  • 이연규;김진훈
    • 전기학회논문지
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    • 제57권4호
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    • pp.668-676
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    • 2008
  • In this paper, we considered the $H_{\infty}$ tracking control for time-delayed linear systems with saturating actuators. The considered time delay is a time varying one having bounded magnitude and rate, and the considered tracking reference is a general one only known its bounds of magnitude and rate. First, we have converted the $H_{\infty}$ tracking control problem into an equivalent $H_{\infty}$ disturbance attenuation problem using two steps of transformations. Next, based on a new Lyapunov-Krasovskii functional, we have derived the result in the form of LMI with two non-convex parameters. Finally, by numerical examples, we have shown the usefulness and effectiveness of our result.

특이시스템의 강인 관측기 기반 $H_{\infty}$ 제어 (Robust observer-based $H_{\infty}$ control for singular systems)

  • 김종해
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 심포지엄 논문집 정보 및 제어부문
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    • pp.7-9
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    • 2004
  • This paper provides an observer-based $H_{\infty}$ controller design method for singular systems with and without time-varying delay by just one LMI condition. The sufficient condition for the existence of controller and the controller design method are presented by perfect LMI (linear matrix inequality) approach. The design procedure involves solving an LMI. The observer-based $H_{\infty}$ controller in the existing results can be constructed from the coupled two or more conditions while the proposed controller design method can be obtained from an LMI condition, which can be solved efficiently by convex optimization. Since the obtained condition can be expressed as an LMI form, all variables including feedback gain and observer gain can be calculated simultaneously by Schur complement and changes of variables. An example is given to illustrate the results.

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공진비제어를 갖는 2관성계의 $H_{\infty}$ 제어 ($H_{\infty}$ Control of Two-Mass System with Resonance Ratio Control)

  • 김진수;김승범;김현중;김영석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 A
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    • pp.504-506
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    • 1996
  • In the industrial motor drive systems, a shaft torsional vibration is often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of this system. The resonance ratio control is proposed for suppressing the torsional vibration. In this paper, first, the optimal resonance ratio is sellected and the controller to the resonance ratio controlled outward plant is designed based on $H_{\infty}$ control theory. Secondly, the two-degree-of-freedom controller, which includes the above $H_{\infty}$ controller, is designed in order to improve the tracking characteristics for the commanded speed. The control performances are examined by the computer simulations and it is clarified that the proposed speed control system is useful for two-mass system.

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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
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 춘계학술대회논문집; 경주코오롱호텔; 22-23 May 1997
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    • pp.293-300
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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 is applied to the design of the control system. The designed control system is simulated by computer. As a result, the designed H$_{\infty}$ controller showed good vibration control performance to impact excitation and the good frequency response.e.

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

  • 김경근;진승희;최윤호;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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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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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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Development of Vision Based Steering System for Unmanned Vehicle Using Robust Control

  • Jeong, Seung-Gweon;Lee, Chun-Han;Park, Gun-Hong;Shin, Taek-Young;Kim, Ji-Han;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1700-1705
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    • 2003
  • In this paper, the automatic steering system for unmanned vehicle was developed. The vision system is used for the lane detection system. This paper defines two modes for detecting lanes on a road. First is searching mode and the other is recognition mode. We use inverse perspective transform and a linear approximation filter for accurate lane detections. The PD control theory is used for the design of the controller to compare with $H_{\infty}$ control theory. The $H_{\infty}$ control theory is used for the design of the controller to reduce the disturbance. The performance of the PD controller and $H_{\infty}$ controller is compared in simulations and tests. The PD controller is easy to tune in the test site. The $H_{\infty}$ controller is robust for the disturbances in the test results.

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

  • 김동원;김호성;황현준
    • 전기전자학회논문지
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    • 제1권1호
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    • pp.19-30
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    • 1997
  • 인공위성 추적 안테나 제어 시스템은 로테이터에 해당하는 DC 서보모터에 의해 안테나의 방위각 및 앙각을 제어함으로써 인공위성의 현재 위치를 추적하고자 하는 시스템이다. 한편 제어 시스템의 설계를 위한 위성추적 시스템의 선형모델은 일반적인 DC 서보모터의 위치 제어 시스템과는 달리 바람에 의한 토오크 외란과 베어링 및 공기역학적 마찰로 인한 전달함수의 파라메타 변동이 존재하므로 이러한 시스템의 불확실성에도 불구하고 만족스러운 명령추종성를 가지는 강인한 제어 시스템의 설계가 요구된다. 본 연구에서는 유전 알고리즘을 사용하여 복잡한 최적화의 과정없이 가중치 함수와 설계 파라메타 ${\gamma}$를 동시에 최적화함으로써 시스템의 파라메타 변동에 대한 강인한 안정성과 기준모델에 따른 최적의 명령추종성을 가지는 위성추적 안테나 $H{\infty}$ 제어 시스템을 설계한다. 이를 위해 강인한 안정성을 가지는 해집단내에서 기준모델의 출력을 최적으로 추종하도록 유전 알고리즘을 사용하여 적절히 주어진 가중치 함수의 게인 및 동특성 파라메타와 설계 파라메타 ${\gamma}$를 동시에 최적화한다. 끝으로 컴퓨터 시뮬레이션을 통하여 설계된 위성추적 안테나 $H{\infty}$ 제어 시스템의 유용성을 확인한다.

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$H_\infty$제어에 의한 병렬형 도립진자의 제어에 관한 연구 (A Study on the Control of Parallel-Type Inverted Pendulum by $H_\infty$ Control)

  • 양주호;변정환
    • 수산해양기술연구
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    • 제31권2호
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    • pp.178-189
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    • 1995
  • 병렬형 도립진자를 수학적으로 모델링하고 주파수 응답법에 의해 파라미터를 동정하여, $H_\infty$제어이론 중 혼합감도문제에 의거하여 제어계를 설계한 후 응답 시뮬레이션을 한 결과그 응답으로부터 모델링의 불확실성에 대처할 수 있는 강인한 제어계를 구성할 수 있었다. 앞으로 실제 시스템에 대하 s제어들 과제로 남겨두고 있다. 시뮬레이션 응답과는 달리 실제 으답실험에서도 좋은 결과를 얻기 위해서는 여러 가지의 어려움이 있을 것으로 예상된다. 특히 응답 시뮬레이션에서도 나타난 바와 같이 전자가 미소각으로 기울어진 상태에서 제어를 할 경우에도 각 상태의 변동량이 크고, 또한 상당한 제어입력을 요한다. 따라서 센서 잡음에 대한 영향을 충분히 고려할 필요가 있으므로, 노이즈를 많이 발생시키는 PWM방식의 직류모터 구동 드라이버보다는 선형 드라이버를 이용하는 것이 적절할 것으로 예상된다

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