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

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

  • Park, Seung-Kyu;Kwak, Gun-Pyong;Kim, Min-Chan
    • Proceedings of the KIEE Conference
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    • 1999.11c
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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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A study on the improvement of cutting precision of CNC system using $H_{\infty}$ 2-degree-of-freedom controller ($H_{\infty}$ 2 자유도 제어기를 이용한 CNC 시스템의 가공 정밀도 향상에 관한 연구)

  • 최성규;최병욱;현용탁;강성귀;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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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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Design of Robust Controller Using Model Following Sliding Mode Without Matching Condition (정합조건을 만족하지 않는 모델 추종 슬라이딩 모드를 이용한 강인 제어기의 설계)

  • Kim, Min-Chan;Park, Seung-Kyu;Ahn, Ho-Kyun;Kwak, Gun-Pyong;Nam, Jing-Rak
    • Proceedings of the KIEE Conference
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    • 2004.07d
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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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Robust $H^{\infty}$ Performance Controller Design with Parameter Uncertainty and Unmodeled Dynamics (파라미터 불확실성 및 모델 불확실성에 대한 $H^{\infty}$ 견실성능 제어기 설계)

  • Lee, Kap-Rai;Oh, Do-Chang;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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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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Teleoperation Controller Design for an Underwater Manipulator Using an $H_{\infty}$ Control Scheme Based on Disturbance Observer (외란관측기를 바탕으로 $H_{\infty}$제어 방법을 이용한 수중 로봇 팔의 원격조종 제어기 설계)

  • Ryu, Jee-Hwan;Kwon, Dong-Soo;Lee, Pan-Moon;Hong, Seok-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.7
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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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Design of Robust $H_{\infty}$ Controller with Regional Pole Placements for Congestion Control in ATM Networks (ATM 네트워크의 폭주제어를 위한 극점 배치를 갖는 견실 $H_{\infty}$ 제어기 설계)

  • Kim, Joon Ki;Jeong, Sang Seop;Park, Hong Bae
    • Proceedings of the IEEK Conference
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    • 2000.06a
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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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Delay-dependent Fuzzy $H_2/H_{\infty}$ Controller Design for Delayed Fuzzy Dynamic Systems (시간지연 퍼지 시스템의 지연 종속 퍼지 $H_2/H_{\infty}$ 제어기 설계)

  • 김종래;정은태
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.5
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    • pp.19-27
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    • 2004
  • A delay dependent fuzzy $H_2/H_{\infty}$ controller design method for delayed fuzzy dynamic systems is considered. Using delay-dependent Lyapunov function, the asymptotical stability and $H_2/H_{\infty}$ performance problem are discussed. A sufficient condition for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example is given to illustrate the design procedures and performances of the proposed methods.

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

  • Lee, Jong-Sung
    • Proceedings of the IEEK Conference
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    • 2005.11a
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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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Robust Control System Design for an AMB by $H_{\infty}$ Controller ($H_{\infty}$ 제어기에 의한 능동 자기 베어링 시스템의 강인한 제어계 설계)

  • Chang, Y.;Yang, J.H.
    • Journal of Power System Engineering
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    • v.7 no.3
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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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    • v.6 no.6
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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.