• Title/Summary/Keyword: $H_{\infty}$Controller

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$H_2/H_{\infty}$ 제어기를 이용한 슬라이eld 모드제어 (Sliding Mode Control Using $H_2/H_{\infty}$ Controller)

  • 박승규;곽군평;김민찬
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 B
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    • pp.612-614
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    • 1999
  • In this paper a novel sliding mode control is proposed by using $H_2/H_{\infty}$ controller. this technique is constructed based on the augmented system with a virtual state and make it has the dynamics of the original system and then $H_2/H_{\infty}$ controller has robust characteristics of sliding mode control for existing parameter uncertainty. The reaching phase is excluded by setting initial virtual state value appropriately.

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$H_{\infty}$ 2 자유도 제어기를 이용한 CNC 시스템의 가공 정밀도 향상에 관한 연구 (A study on the improvement of cutting precision of CNC system using $H_{\infty}$ 2-degree-of-freedom controller)

  • 최성규;최병욱;현용탁;강성귀;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1040-1043
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    • 1996
  • The accuracy of the servo control in CNC system has a great influence on the duality of machine product. Tracking performance of the servo control is deteriorated mainly by the time delay of the servo system and the inertia of the work table or bed. Contouring errors occur in every interpolation steps by the effect of the tracking performance. In this paper, $H_{\infty}$ two-degree-of-freedom(TDF) controller is designed for improvement to improve the tracking performance. The designed controller is applied 3-axis machining center model and the cutting accuracy is simulated in case of corner cutting, circular and involute interpolation. Simulation results show that $H_{\infty}$ TDF controller designed in this paper has a good effect to improve tracking performance in CNC system.

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정합조건을 만족하지 않는 모델 추종 슬라이딩 모드를 이용한 강인 제어기의 설계 (Design of Robust Controller Using Model Following Sliding Mode Without Matching Condition)

  • 김민찬;박승규;안호균;곽군평;남징락
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2191-2193
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    • 2004
  • The Sliding Mode Control is more robust and give the better performance than the $H_{\infty}$ control if the matching condition is satisfied. So in this paper, a controller which can have the advantages of $H_{\infty}$ control and the SMC is proposed to add the robustness of the SMC to the $H_{\infty}$ controller. The dynamic of proposed sliding surface is the same dynamic as the system controlled by $H_{\infty}$ controller without the uncertainties which satisfy the matching condition.

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파라미터 불확실성 및 모델 불확실성에 대한 $H^{\infty}$ 견실성능 제어기 설계 (Robust $H^{\infty}$ Performance Controller Design with Parameter Uncertainty and Unmodeled Dynamics)

  • 이갑래;오도창;박홍배
    • 제어로봇시스템학회논문지
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    • 제3권1호
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    • pp.9-16
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    • 1997
  • The method of designing robust two degree of freedom(2 DOF) controllers for linear systems with parameter uncertainties and unmodeled dynamics is presented in this paper. Robust performance condition that accounts for robust model matching of closed loop system and disturbance rejection is derived. Using the robust performance condition, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while prefilter is used to improve the robust model matching properties. The $H^{\infty}$ and $\mu$ controller for six degree of freedom vehicle with parameter variations are designed and compared. Simulations for hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.

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외란관측기를 바탕으로 $H_{\infty}$제어 방법을 이용한 수중 로봇 팔의 원격조종 제어기 설계 (Teleoperation Controller Design for an Underwater Manipulator Using an $H_{\infty}$ Control Scheme Based on Disturbance Observer)

  • 유지환;권동수;이판묵;홍석원
    • 제어로봇시스템학회논문지
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    • 제6권7호
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    • pp.578-585
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    • 2000
  • This paper presents a robust and systematic bilateral controller design method for a teleoperation of an underwater manipulator. Disturbance observer is used as a local controller of the master and underwater slave manipulator to set up the teleoperation system as a nominal model by compensating coupled nonlinear terms model uncertainties and external disturbances in the water. Using the linearized master/slave model a $H_{\infty}$ optimal control scheme is applied to systematically construct a force reflecting bilateral controller.

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ATM 네트워크의 폭주제어를 위한 극점 배치를 갖는 견실 $H_{\infty}$ 제어기 설계 (Design of Robust $H_{\infty}$ Controller with Regional Pole Placements for Congestion Control in ATM Networks)

  • 김준기;정상섭;박홍배
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(1)
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    • pp.127-130
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    • 2000
  • In this paper, we design the robust H$_{\infty}$ controller for congestion control in ATM (asynchronous transfer mode) networks with the variation of other higher priority sources(e.g., constant bit rate, variable bit rate). Since ABR (available bit rate) sources share the bottleneck node with other higher priority sources, we design the controller which guarantees robustness against time delay and disturbance. The proposed robust H$_{\infty}$ controller with regional pole placements can minimize the variation of the queue size at the predefined desired level. And we also show its robustness through simulation for the ATM networks with time delay and disturbance.

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시간지연 퍼지 시스템의 지연 종속 퍼지 $H_2/H_{\infty}$ 제어기 설계 (Delay-dependent Fuzzy $H_2/H_{\infty}$ Controller Design for Delayed Fuzzy Dynamic Systems)

  • 김종래;정은태
    • 전자공학회논문지SC
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    • 제41권5호
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    • pp.19-27
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    • 2004
  • 시간지연을 갖는 퍼지 시스템에 대한 지연 종속 퍼지 H₂/H/sub ∞/ 제어기 설계 방법을 제안한다. 지연 종속 Lyapunov 함수를 이용하여 폐루프 시스템의 점근적 안정화뿐만 아니라 H₂ 성능과 H/sub ∞/ 성능을 동시에 만족하는 혼합 H₂/H/sub ∞/ 성능 문제를 고려한다. 제어기의 존재성에 대한 충분조건을 유도하고 선형행렬부등식(LMI: linear matrix inequality)으로 나타낸다. 제어기 설계는 병렬 분산 보상의 개념을 이용하고, 퍼지 제어기는 LMI 해를 구함으로써 바로 구할 수 있다. 지연 종속 퍼지 제어기는 존재 조건을 나타내는 선형 행렬 부등식에 시간지연항의 크기를 포함하고 있으므로 시간지연항의 크기를 고려할 수 있다. 따라서 시간지연의 크기에 상관없이 시스템을 안정화 시키는 지연 독립적인 제어기 보다 더 효과적인 설계방법이다. 제안한 방법의 설계과정 및 타당성을 시뮬레이션 예제를 통하여 나타내고 기존의 시간 지연 독립적인 퍼지 H₂/H/sub ∞/ 제어기 설계 방법 보다 효과적인 방법임을 확인한다.

$H_2/H_{\infty}$ 혼합 제어기를 이용한 고속 비행체의 자동조정장치 설계 (Design of Autopilot for High Velocity Flight Vehicles using Mixed $H_2/H_{\infty}$ Controller)

  • 이종성
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2005년도 추계종합학술대회
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    • pp.1297-1300
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    • 2005
  • In this study the gradient method is used to design a mixed $H_2/H_{\infty}$ controller. It is verified by an example that is BTT missile. We expect through the results of this study that gradient method can be easily applied to diverse optimization problems.

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$H_{\infty}$ 제어기에 의한 능동 자기 베어링 시스템의 강인한 제어계 설계 (Robust Control System Design for an AMB by $H_{\infty}$ Controller)

  • 창유;양주호
    • 동력기계공학회지
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    • 제7권3호
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    • pp.48-53
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    • 2003
  • This paper deals with the control of a horizontally placed flexible rotor levitated by electromagnets in a multi-input/multi-output (MIMO) active magnetic bearing(AMB) system. AMB is a kind of novel high performance bearing which can suspend the rotor by magnetic force. Its contact-free manner between the rotor and stator results in it being able to operate under much higher speed than conventional rolling bearings with relatively low power losses, as well as being environmental-friendly technology for AMB system having no wear and no lubrication requirements. In this MIMO AMB system, the rotor is a complex mechanical system, it not only has rigid body characteristics such as translational and slope motion but also bends as a flexible body. Reduced order nominal model is computed by consideration of the first 3 mode shapes of rotor dynamics. Then, the $H_{\infty}$ control strategy is applied to get robust controller. Such robustness of the control system as the ability of disturbance rejection and modeling error is guaranteed by using $H_{\infty}$ control strategy. Simulation results show the validation of the designed control system and the modeling method to the rotor.

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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.