• Title/Summary/Keyword: $H^{\infty}$ controller

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A Unifying Design of $H_\infty$ Controller with PI Xpeed Feedback for High Precision Position Control of Flexible System

  • Chun, Yeonghan;Hori, Yoichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.553-557
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    • 1994
  • We propose a design method that uses H$_{\infty}$ optimization method to suppress oscillation of a shaft between motor and load for high precision (0.001 % of reference input) position controls. PI speed control loop was introduced as a minor loop. Standard problem is used for the modeling of the system and Glover-Doyle's algorithm is used for the optimization in the H$_{\infty}$ space. Friction is considered to be an important factor that makes it difficult for the system to reach steady state in short time. In this paper, we propose a hybrid controller that includes PI speed feedback loop, which is expected to have a role to reject torque disturbance like friction.n.n.

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A Study on the $H_{\infty}$ Controller of the Novel Sliding Mode - State Space Approach (새로운 슬라이딩 모드를 이용한 $H_{\infty}$ 제어기의 설계 - 상태공간 접근방법)

  • Kim, Min-Chan;Park, Seung-Kyu;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.915-917
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    • 1999
  • In this paper, a novel sliding surface is proposed by introducing a virtual state. This sliding surface has nominal dynamics of an original system and makes it possible that the Sliding Mode Control(SMC) technique is combined with the $H_{\infty}$ controller. Its design is based on the augument system whose dynamics have one higher order than that of the original system. The reaching phase is removed by setting an initial virtual state which makes the initial switching function equal to zero.

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Control of Automatic Cargo Handling System Using ER Valves (II) -Modeling and Control of Cargo Handling System- (ER밸브를 이용한 자동 하역 시스템의 제어 (II) -하역시스템의 모델링 및 제어-)

  • Sung, Kum-Kil;Chung, Dar-Do;Choi, Seung-Bok
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.53-60
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    • 2001
  • This paper presents a position control of a platform at the seaport cargo handling system. After brief description of the operating principles of the cargo handling system, the governing equation of the moving platform is derived. The equation is described in the state space model, and a robust H$_{\infty}$ controller to achieve position tracking of the moving platform. which can carry 200ton of containers, is formulated. In the synthesis of the controller, the weight of the container is treated as uncertain parameter. Both regulating and tracking control responses are analyzed for the loading and unloading procedures of the proposed automatic cargo handling system.

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H${\infty}$discrete-time servo control of optical pick-ups (광 픽업 장치의 H${\infty}$이산시간 서보제어)

  • 임승철;김윤영
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.521-528
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    • 1996
  • Recently, higher speed optical disk drives including computer CD-ROM drives tend to be increasingly demanded to read or write the enormous volume of digital data. To this end, both structure and controller designs of the optical pick-ups should be improved concurrently. In this paper, the pick-up during auto-focusing motion is mathematically modelled retaining all its peculiar features. The model turns out a linear time invariant system suitable for a control design namedH${\infty}$ which ensures robust stability in the presence of system uncertainties. Numerical simulations are performed to demonstrate the robustness with appropriate performance specifications being satisfied. In addition, as the implementation issue of it, procedures of temporal discretization as well as model reduction of the controller are also addressed.

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$H_{\infty}$ Control of a Tracked Vehicle with ER Suspension Units (ER 현수장치를 갖는 궤도차량의 $H_{\infty}$ 제어)

  • Han, Sang-Soo;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.251-256
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    • 2000
  • This paper presents dynamic modeling and controller design of a tracked vehicle installed with the double-rod type ERSU(electro-rheological suspension unit). A 16 DOF(degree-of-freedom) model for the tracked vehicle is established by Lagrangian method. After showing the spring and damping characteristics of the proposed ERSU, equivalent 2 DOF 1/12 tracked vehicle model is then formulated by regarding the spring and viscous damping coefficients under the static state as constant values. A robust LSDP(loop-shaping design procedure) $H_{\infty}$ controller compensating spring and damping parameter variations is then designed in order to suppress unwanted vibration of the vehicle. The control responses such as vertical and pitch acceleration are presented in time domain.

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Robust Position Control for PMLSM Using Friction Parameter Observer and Adaptive Recurrent Fuzzy Neural Network (마찰변수 관측기와 적응순환형 퍼지신경망을 이용한 PMLSM의 강인한 위치제어)

  • Han, Seong-Ik;Rye, Dae-Yeon;Kim, Sae-Han;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.241-250
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    • 2010
  • A recurrent adaptive model-free intelligent control with a friction estimation law is proposed to enhance the positioning performance of the mover in PMLSM system. For the PMLSM with nonlinear friction and uncertainty, an adaptive recurrent fuzzy neural network(ARFNN) and compensated control law in $H_{\infty}$ performance criterion are designed to mimic a perfect control law and compensate the approximated error between ideal controller and ARFNN. Combined with friction observer to estimate nonlinear friction parameters of the LuGre model, on-line adaptive laws of the controller and observer are derived based on the Lyapunov stability criterion. To analyze the effectiveness our control scheme, some simulations for the PMLSM with nonlinear friction and uncertainty were executed.

A study on the ramp tracking controller for the servo systems with nonlinear friction and resonance using $H_{\infty}$controller design method ($H_{\infty}$제어기법을 이용한 비선형 마찰 및 공진 효과가 존재하는 서보시스템의 램프추종 제어기 설계에 관한 연구)

  • Choi, Ho-Jun;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.423-425
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    • 1998
  • Resonance effects and nonlinear frictions which generate many problems in control system exist in almost all the servo system. therefore, In this paper, the design procedure which employs $H_{\infty}$ control theory after augmenting with two integrators is proposed to track the ramp input. Limit cycles are unavoidable by the effect of interaction between two integrators and Coulomb friction in these system. The describing function is used to check the limit cycles and decide the coefficients of two integrators to minimize the effect of the limit cycles.

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$H_{\infty}$ Position Controller Design for Servo Systems Containing Resonance Effects and Coulomb Friction (공진효과 및 클롱마찰이 있는 서보 시스템의 $H_{\infty}$ 위치 제어기 설계)

  • Hong, Kook-Nam;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.720-725
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    • 1995
  • The most important problems which should be considered in designing servo controllers are resonance effects and nonlinear friction. These problems exist in almost all the servo systems, especially for the robotic maniplators and numerical control systems and cause difficulties in designing controllers. In this paper, controller design procedure which employs $H_{\infty}$ control theory is proposed for the servo systems with these problems. Sometimes, for these systems, there is a possibility of limit cycles due to the interation between the nonlinear friction and integrator. To check the possibility of limit cycles, describing fuction method is used.

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A PID Controller Design for an Attracton Type Magnetic Levitation System Considering $H_{\infty}$ Performance ($H_{\infty}$ 성능을 고려한 흡인식 자기부상 시스템의 PID 제어기 설계)

  • Kim, Seog-Joo;Kim, Chun-Kyung;Kim, Jong-Moon;Park, Min-Kook
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2120-2122
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    • 2001
  • This paper describes a PID controller for an attraction type magnetic levitation system considering $H^{\infty}$ performance. PID controllers are a kind of fixed structure reduced order controllers. Using change of variables a reduced order control problem can be recast into a static output feedback control problem and can be solved efficiently by LMI(Linear Matrix Inequality) method. In this paper, cone complementarity method is adopted and the simulation shows good results.

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A Robust Longitudinal Landing Controller to Datalink Time Delay

  • Lee, Sang-Hyo;Rhee, Ihn-Seok;Kee, Chang-Don;Koo, Hueon-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.886-891
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    • 2003
  • This paper deals with designing a ground-based longitudinal landing controller which is robust to datalink time delays. Time delays occur because forward velocity measurements are downlinked and the controller output commands are uplinked. An $H_{\infty}$ controller was designed by using the input/output decomposition where time delay is modeled as a first-order system with Pade approximation. Linear simulations show that the system tracks well the predefined path and is robust to the variation of time delay.

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