• 제목/요약/키워드: $H_\infty$ Control

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Reliable $H_{\infty}$ Controller Design for a Class of Uncertain Linear Systems with Actuator Failures

  • Dai, Shi-Lu;Zhao, Jun
    • International Journal of Control, Automation, and Systems
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    • 제6권6호
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    • pp.954-959
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    • 2008
  • This paper is concerned with the reliable $H_{\infty}$ controller design problem for uncertain linear systems against actuator failures. In the design, the $H_{\infty}$ performance of the closed-loop system is optimized during normal operation(without failures) while the system satisfies a prescribed $H_{\infty}$ performance level in the case of actuator failures. Single and parameter-dependent Lyapunov function approaches are applied in designing suboptimal reliable $H_{\infty}$ controllers. Simulation studies are presented to demonstrate the effectiveness of the proposed design procedures.

Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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표준 $H_{\infty}$ 제어와 LQ제어의 성능 비교 연구 (A Study on the Performance Comparison of Standard $H_{\infty}$ Control and LQ Control)

  • 노태훈;박진배;문영현;이태식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 A
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    • pp.331-334
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    • 1993
  • It is a standard problem that designs a controller to minimize the $H_{\infty}$-norm of a given plant. By reducing a standard problem to a model-matching problem, we can obtain all the parameters which consist of a controller. After presenting a practical model and applying it to a tracking model, we design an $H_{\infty}$ controller and an LQ controller to concrete that $H_{\infty}$ control theory is far more robust than LQ control theory. And we show the advantage of an $H_{\infty}$ controller by obtaining a desired Bode diagram and comparing it with that of an LQ controller.

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최소 엔트로피를 고려한 혼합 $H_2/H_{\infty}$ 제어기 구성 (Mixed $H_2/H_{\infty}$ Controller Design Considering Minimum Entropy)

  • 이상혁;서진헌
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.999-1001
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    • 1996
  • In this paper, we represented the relation of minimum entropy/$H_{\infty}$-controller and mixed $H_2/H_{\infty}$-controller. An $H_2$ controller design problem involving a constraint on $H_{\infty}$ disturbance attenuation is considered. By the equivalence of the mixed $H_2/H_{\infty}$ control problem and the minimum entropy/$H_{\infty}$-control problem, we presented the controller state-space realization. Decentralized case was illustrated briefly.

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반능동 현가장치의 성능향상을 위한 견실 $H_{\infty}$ 제어기 설계 (Robust $H_{\infty}$ Controller Design for Performance Improvement of Semi-Active Suspension System)

  • 정승권
    • 한국생산제조학회지
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    • 제9권4호
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    • pp.85-90
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    • 2000
  • In this paper, a robust $H_{\infty}$ a controller for semi-active suspension system is proposed. For the improvement of ride quality, the robust $H_{\infty}$ controller is designed to satisfy robust stability and road disturbance attenuation using an $H_{\infty}$ control design procedure. The performances of the design controller for some road conditions are evaluated by computer simulation and finally these simulation results show the usefulness and applicability of the proposed robust $H_{\infty}$ controller.

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MR 센서를 이용한 무인 자동 시스템의 H$\infty$ 조향 제어 (H$\infty$ Steering Control of an Unmanned Vehicle Driving System by the MR sensors)

  • 박기선;김창섭;이영진;윤강섭;배종일;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.6-6
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    • 2000
  • By using the information obtained from the outputs of MR(MagnetoResistive) sensors for an Unmanned Vehicle Driving System, we develop an algorithm that decides the distance and direction between vehicle and the guideline which is made by the magnet. To improve the robust tracking properties of the closed loop system, we introduce H$\infty$ controller and its application for the Unmanned Vehicle Driving System.

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파라미터 불확실성,모델 불확실성,한계 잡음에 대한 $H^{\infty}$ 적응제어기 설계 ($H^{\infty}$ robust adaptive controller design with parameter uncertainty, unmodeled dynamic and bounded noise)

  • 백남석;양원영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.454-456
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    • 1998
  • Traditional adaptive control algorithms are not robust to dynamic uncertainties. The adaptive control algorithms developed previously to deal with dynamic uncertainties do not facilitate quantitative design. We proposed a new robust adaptive control algorithms consists of an $H^{\infty}$ suboptimal control law and a robust parameter estimator. Numerical examples showing the effectiveness of the $H^{\infty}$ adaptive scheme are provided.

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구동기 고장을 가지는 특이시스템의 신뢰 $H_\infty$ 제어 (Reliable $H_\infty$ control for descriptor systems with actuator failures)

  • 김종해
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 A
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    • pp.135-138
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    • 2003
  • In this paper, we provide a reliable few controller design method for descriptor systems satisfying asymptotic stability with $H_\infty$ norm bound and all actuator failures occurred within the pre-specified subset. The proper condition for the existence of a reliable $H_\infty$ controller and the controller design method are proposed by linear matrix inequality(LMI), Schur complements, and singular value decomposition. All solutions can be obtained simultaneously because the presented sufficient condition can be expressed as an LMI form.

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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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Robust $\textrm{H}_\infty$ Control Design for the Space Station with Structured Parameter Uncertainty

  • Byun, Kuk-Whan;Bong-Wie;Dabid-Gaiier;John-Sunkel
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.431-441
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    • 1991
  • A robust H$_{\infty}$ control design methodology and its application to a Space Station attitude and momentum control problem are presented. This new approach incorporates nonlinear multi-parameter variations in the state-space formulation of H$_{\infty}$ control theory. An application of this robust H$_{\infty}$ control synthesis technique to the Space Station control problem yields a remarkable result in stability robustness with respect to the moments-of-inertia variation of about 73% in one of the structured uncertainty directions. The performance and stability of this new robust H$_{\infty}$ controller for the Space Station are compared to those of other controllers designed using a standard linear-quadratic-regulator synthesis technique.que.

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