• 제목/요약/키워드: $H_{\infty}$Controller

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[ $H_{\infty}$ ] LATERAL CONTROL OF AN AUTONOMOUS VEHICLE USING THE RTK-DGPS

  • Ryu, J.H.;Kim, C.S.;Lee, S.H.;Lee, M.H.
    • International Journal of Automotive Technology
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    • 제8권5호
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    • pp.583-591
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    • 2007
  • This paper describes the development of the $H_{\infty}$ lateral control system for an autonomous ground vehicle operating a limited area using the RTK-DGPS(Real Time Kinematic-Differential Global Positioning System). Before engaging in autonomous driving, map data are acquired by the RTK-DGPS and used to construct a reference trajectory. The navigation system contains the map data and computes the reference yaw angle of the vehicle using two consecutive position values. The yaw angle of the vehicle is controlled by the $H_{\infty}$ controller. A prototype of the autonomous vehicle by the navigation method has been developed, and the performance of the vehicle has been evaluated by experiment. The experimental results show that the $H_{\infty}$ controller and the RTK-DGPS based navigation system can sufficiently track the map at low speed. We expect that this navigation system can be made more accurate by incorporating additional sensors.

최적 다변수 $H_{\infty}$ 제어 시스템의 설계를 위한 GA의 적용 (Application of GA to Design on Optimal Multivariable $H_{\infty}$ Control System)

  • 황현준;김동완;정호성;박준호;황창선
    • 제어로봇시스템학회논문지
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    • 제5권3호
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    • pp.257-266
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    • 1999
  • The aim of this paper is to suggest a design method of the optimal multivariable $H_{\infty}$ control system using genetic algorithm (GA). This $H_{\infty}$ control system is designed by applying GA to the optimal determination of weighting functions and design parameter $\gamma$ that are given by Glover-Doyle algorithm which can design $H_{\infty}$ controller in the state space. The first method to do this is that the gains of weighting functions and $\gamma$ are optimized simultaneously by GA with tournament method. And the second method is that not only the gains and $\gamma$ but also the dynamics of weighting functions are optimized at the same time by eA with roulette-wheel method. The effectiveness of this $H_{\infty}$ control system is verified by computer simulation.

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파라메타 불확실성을 갖는 선형시스템에 대한 강한 신뢰 $H_\infty$제어 (Robust and Reliable $H_\infty$ Control for Linear Systems with Parameter Uncertainty)

  • 서창준;김병국
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.498-503
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    • 1993
  • In this paper, a robust and reliable H$_{\infty}$ control problem is considered for linear uncertain systems with time-varying norm-bounded uncertainty in the state matrix, which performs well despite of actuator outages. Using linear static state feedback and the quadratic stabilization with H$_{\infty}$-norm bound, a robust and reliable H$_{\infty}$ controller is obtained that stabilizes the plant and guarantees an H$_{\infty}$-norm bound constraint on disturbance attenuation for all admissible uncertainties and normal state as well as faulty state of actuators. It provides a sufficient condition for robust and reliable stabilization with H$_{\infty}$-norm bound. Reliability is guaranteed provided actuator outages only occur within a prespecified subset of actuators.tors.

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LMI에 기초한 $H_{\infty}$ 서보제어를 이용한 AUV의 강인한 자동 심도 및 방향제어 (Robust Depth and Course Control of AUV Using LMI-based $H_{\infty}$ Servo Control)

  • 양승윤;김인수;이만형
    • 한국군사과학기술학회지
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    • 제3권1호
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    • pp.38-46
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    • 2000
  • In this paper, robust depth and course controllers of AUV(autonomous underwater vehicles) using LMI-based H$_{\infty}$ servo control are proposed. The $H_{\infty}$ servo problem is modified to an $H_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The robust depth and course controllers are designed to be satisfied the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under sea wave and tide disturbances. The performances of the designed controllers are evaluated by computer simulations, and these simulation results show the applicability of the proposed robust depth and course controller.

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예견 및 $H_{\infty}$ 제어기법에 의한 연속 냉간 압연시스템의 두께 제어 (Thickness Control of Tandem Cold Mills Using Preview and $H_{\infty}$ Control Techniques)

  • 김승수;김종식
    • 제어로봇시스템학회논문지
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    • 제6권7호
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    • pp.529-536
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    • 2000
  • A robust controller to attenuate the various disturbances of tandem cold mills (TCM) is synthesized by measurement-feedback $H_{\infty}$ control techniques which can reflect the input direction of disturbances and the knowledge of entry thickness variation (disturbance) is synthesized by discrete-time measurement-feedback $H_{\infty}$ control theory. It is demonstrated that the $H_{\infty}$ preview control gain can be easily obtained by the seperation principle of the control and estimation problems in $H_{\infty}$ control. Finally the effectiveness of the proposed control method for TCM is evaluated by the computer simulation and compared to the other control methods which have been previously studied.

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The Level Control System Design of the Nuclear Steam Generator for Robustness and Performance

  • Lee, Yoon-Joon;Lee, Heon-Ju;Kim, Kyung-Yeon
    • Nuclear Engineering and Technology
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    • 제32권2호
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    • pp.157-168
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    • 2000
  • The nuclear steam generator level control system is designed by robust control methods. The feedwater controller is designed by three methods of the H$\infty$, the mixed weight sensitivity and the structured singular value. Then the controller located on the feedback loop of the level control system is designed. For the system performance, the controller of simple PID whose coefficients vary with the power is selected. The simulations show that the system has a good performance with proper stability margins.

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능동 자기 베어링 제어를 위한 $H_{\infty}$ 제어기 설계 (Study on the Active Vibration Control of Magnetic Bearing System using $H_{\infty}$ Controller)

  • 고무일;이경백;김영배
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.303-306
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    • 1997
  • Magnetic bearings have been adopted to support the rotor by electromagnetic force without mechanical contact and have many advantages. The application of the magnetic bearings have become more and more widespread in recent years. But magnetic bearings require feedback control for stable operation because they are inherently open loop unstable systems. In this study, H infinity controller has been applied for rotor-magnetic bearing system for vibration control. The result showed that H infinity controller has better performance than PID controller through simulations.

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불확실성을 갖는 퍼지 시스템의 출력궤환 견실 $H^infty$ 제어 (Output Feedback Robust $H^infty$ Control for Uncertain Fuzzy Dynamic Systems)

  • Lee, Kap-Lai;Kim, Jong-Hae;Park, Hong-Bae
    • 전자공학회논문지SC
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    • 제37권6호
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    • pp.15-24
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    • 2000
  • 본 논문에서는 불확실성을 갖는 비선형 시스템의 출력 궤환 퍼지 H∞ 제어 문제를 고려한다. 비선형 시스템은 Takagi-Sugeno(T-S) 퍼지모델로 나타내고 제어기 설계는 퍼지모델을 이용하여 설계한다. Lyapunov 함수를 이용하여 퍼지모델에 대한 폐-루프 시스템의 안정성뿐만 아니라 외란감쇠에 대한 L₂ 이득 성능을 보장하는 충분조건을 유도한다. 유도된 조건식 으로부터 퍼지 H∞ 제어기가 존재할 충분조건을 선형 행렬부등식으로 나타내고, 이 선형 행렬부등식의 해로부터 제어기를 설계하는 알고리듬을 제시한다. 설계된 제어기는 비선형이며 퍼지 동작에 의해 자동적으로 조정된다.

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파라미터 불확실성과 시간지연을 가지는 특이시스템의 견실 $H_\infty$ 출력궤환 제어 (Robust $H_\infty$ Output Feedback Control of Descriptor Systems with Parameter Uncertainty and Time dDelay)

  • 김종해
    • 전자공학회논문지SC
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    • 제41권3호
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    • pp.9-16
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    • 2004
  • 본 논문에서는 시변 시간지연을 가지는 특이시스템에 대한 관측기 기반 Η∞ 출력궤환 제어기 설계방법을 단 하나의 선형행렬부등식 조건을 이용하여 제시한다. 제어기가 존재할 충분조건과 제어기 설계방법을 모든 변수의 견지에서 완벽한 하나의 선형행렬부등식으로 표현하여 볼록최적화가 가능하도록 한다. 제어기의 설계과정은 제안한 하나의 충분조건으로부터 직접 구해진다. 구한 충분조건은 하나의 선형행렬부등식으로 표현되어지므로, 슈어 여수정리와 변수치환 및 특이치 분해의 기법에 의하여 궤환이득과 추정이득을 포함하는 모든 해로부터 관측기 기반 Η∞ 출력궤환 제어기를 동시에 구할 수 있다. 또한 제안한 알고리듬을 이용하여 파라미터 불확실성과 시간지연을 가지는 특이시스템에 대한 관측기 기반 견실 Η∞ 출력제환 제어기 설계도 가능함을 보인다. 마지막으로, 제안한 알고리듬의 타당성을 수치예제를 통하여 확인한다.

최적 다변수 $H_{\infty}$제어 시스템 설계 및 비선형 시뮬레이션 (Optimal Multivariable $H_{\infty}$ Control System Design and Nonlinear Simulation)

  • 황현준;김동완;도대호;최종헌;조원래
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.1002-1004
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    • 1999
  • The aim of this paper is to suggest a design method of the optimal multivariable $H_{\infty}$ control system using genetic algorithm(GA). This $H_{\infty}$ control system is designed by applying GA to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by Glover-Doyle algorithm which can design $H_{\infty}$ controller in the state space. The effectiveness of this $H_{\infty}$ control system is verified by nonlinear simulation.

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