• Title/Summary/Keyword: Linearized model

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Robust Servo Control of High Speed Optical Pickups (고속 광 픽업 장치의 강인 서보 제어)

  • 임승철;정태영
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.533-541
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    • 1998
  • Recently, optical disk drives are increasingly demanded to have higher speed as well as high information density, especially for applications like CD ROM drives. To this end, improvement of their optical pickup structure and control is recognized the very challenging issue. In this paper, the pickup is first analytically modelled in a plane to describe its coupled auto-focusing and auto-tracking motions. Subsequently, the model is linearized and combined with actuator dynamics for the auto-focusing system. With its unmeasurable parameters being estimated based on experimental data, an approximate I-DOF linear model is obtained neglecting the coupling term. To design the high speed and robust positional servo controller realistic design specifications are addressed, and H control method is employed based on the approximate model. Finally, taking the pickup in a commerical high speed CD ROM drive as an example performance of the designed controller is verified through realtime experiments.

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Dynamic Wheel/Rail Contact Force due to Rail Irregularities (레일의 상하방향 불규칙성에 의한 차륜과 레일의 동 접촉력)

  • 이현엽
    • Journal of KSNVE
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    • v.8 no.4
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    • pp.616-622
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    • 1998
  • An analytical method has been developed to estimate the dynamic contact force between wheel and rail when trains are running on rail with vertical irregularities. In this method, the effect of Hertzian deformation at the contact point is considered as a linearized spring and the wheel is considered as an sprung mass. The rail is modelled as a discretely-supported Timoshenko beam, and the periodic structure theory was adopted to obtain the driving-point receptance. As an example, the dynamic contact force for a typical wheel/rail system was analysed by the method developed in this research and the dynamic characteristics of the system was also discussed. It is revealed that discretely-supported Timoshenko beam model should be used instead of the previously used continuously-supported model or discretelysupported Euler beam model, for the frequency range above several hundred hertz.

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A TWO-LEVEL FINITE ELEMENT METHOD FOR THE STEADY-STATE NAVIER-STOKES/DARCY MODEL

  • Fang, Jilin;Huang, Pengzhan;Qin, Yi
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.915-933
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    • 2020
  • A two-level finite element method based on the Newton iterative method is proposed for solving the Navier-Stokes/Darcy model. The algorithm solves a nonlinear system on a coarse mesh H and two linearized problems of different loads on a fine mesh h = O(H4-𝜖). Compared with the common two-grid finite element methods for the considered problem, the presented two-level method allows for larger scaling between the coarse and fine meshes. Moreover, we prove the stability and convergence of the considered two-level method. Finally, we provide numerical experiment to exhibit the effectiveness of the presented method.

Rotordynamic Analysis for Stepped-Labyrinth Gas Seals Using Moodys Friction-Factor Model

  • Ha, Tae-Woong
    • Journal of Mechanical Science and Technology
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    • v.15 no.9
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    • pp.1217-1225
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    • 2001
  • The governing equations are derived for the analysis of a stepped labyrinth gas seal generally used in high performance compressors, gas turbines, and steam turbines. The bulk-flow is assumed for a single cavity control volume set up in a stepped labyrinth cavity and the flow is assumed to be completely turbulent in the circumferential direction. The Moodys wall-friction-factor model is used for the calculation of wall shear stresses in the single cavity control volume. For the reaction force developed by the stepped labyrinth gas seal, linearized zeroth-order and first-order perturbation equations are developed for small motion about a centered position. Integration of the resultant first-order pressure distribution along and around the seal defines the rotordynamic coefficients of the stepped labyrinth gas seal. The resulting leakage and rotordynamic characteristics of the stepped labyrinth gas seal are presented and compared with Scharrers theoretical analysis using Blasius wall-friction-factor model. The present analysis shows a good qualitative agreement of leakage characteristics with Scharrers analysis, but underpredicts by about 20%. For the rotordynamic coefficients, the present analysis generally yields smaller predictied values compared with Scharrers analysis.

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DSP-based Robust Nonlinear Speed Control of PM Synchronous Motor Using Adaptive and Sliding Mode Control Techniques

  • Baik, In-Cheol;Kyeong-Hwa;Kwan-Yuhl;Youn, Myung-Joong
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.251-260
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    • 1998
  • A DSP-based robust nonlinear speed control of a permanent magnet synchronous motor(PMSM) which is robust to unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the Lyapunov stability theory. For the disturbances or quickly varying parameters. a quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of a PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of the nonlinear speed control of a PMSM is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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Precision Control of a Piezoelectric Actuator Based on an Inverse Hysteresis Model (역 히스테리시스 모델에 기초한 압전 구동기의 정밀제어)

  • Park, Seung-Man;Ahn, Hyun-Sik;Kim, Do-Hyun;Song, Joong-Ho;Choy, Ick;Kim, Kwang-Bae
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2368-2370
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    • 2000
  • In this paper, we proposed an inverse hysteresis model to cancel the nonlinear hysteresis phenomenon of a piezoelectric actuator and design a feedback control system based on the inverse hysteresis model. The piezoelectric actuator performs much better in open-loop response. However, the nonlinear hysteresis phenomenon should be linearized and the closed-loop control should be executed to get the required performance in the area, where high-speed and high-accuracy are required. Thus, it is shown by simulation that a good position tracking performance can be obtained for the repetitive desired position trajectory.

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Model Predictive Control of Condensate Recycle Process in a Cogeneration Power Station: I. Controller Design and Numerical Application (열병합 발전소의 응축순환공정에 대한 모델예측제어: I. 제어기 설계와 수치적 적용)

  • Won, Wang-Yun;Lee, Bong-Kook;Lee, Seung-Joo;Lee, Seok-Young;Lee, Kwang-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.12
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    • pp.1202-1208
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    • 2006
  • Development of a model predictive control(MPC) algorithm and its application to the condensate recycle process of a cogeneration power station has been conducted. The cogeneration power station has different characteristics from other industrial processes where MPC has been dominantly applied in that the operating mode changes continuously with seasons and we Ether. Such a characteristic makes it difficulty, a linearized model was derived from mass and pressure balances and linearization. The MPC algorithm has been developed so that the controller tuning is easy with one tuning knob for each output and the constrained optimization is solved by an interior point method. Performance of the MPC algorithm has been verified with the numerically simulated process under various disturbance scenarios and mode changes.

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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3D Modeling and Balancing Control of Two-link Underactuated Robots using Matlab/Simulink

  • Yoo, Dong Sang
    • Journal of information and communication convergence engineering
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    • v.17 no.4
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    • pp.255-260
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    • 2019
  • A pendubot is a representative example of an underactuated system that has fewer actuators than the degree of freedom of the system. In this study, the characteristics of the pendubot are first reviewed; each part is then designed using Solidworks by dividing the pendubot into three parts: the base frame, first link frame, and second link frame. These three parts are then imported into the Simulink environment via a STEP file format, which is the standard protocol used in data exchange between CAD applications. A 3D model of the pendubot is then constructed using Simscape, and the usefulness of the 3D model is validated by a comparison with a dynamic equation derived using the Lagrangian formulation. A linearized model around an upright equilibrium position is finally obtained, and a sliding mode controller is designed based on the linear quadratic regulator. Simulation results showed that the designed controller effectively maintained upright balance of the pendubot in the presence of disturbance.

Design of Torque Servo for Impedance Control of Double Vane Rotary Hydraulic Actuator System (더블 베인 회전형 유압 구동시스템의 임피던스 제어를 위한 토크 서보 설계)

  • Kim, Seon-Min;Choi, Young-Jin;Chung, Wan-Kyun
    • The Journal of Korea Robotics Society
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    • v.5 no.2
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    • pp.160-168
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    • 2010
  • In order to achieve a force controller with high performance, an accurate torque servo is required. However, the precise torque servo for a double vane rotary actuator system has not been developed till now, due to many nonlinear characteristics and system parameter variations. In this paper, the torque servo structure for the double vane rotary actuator system is proposed based on the torque model. Nonlinear equations are set up using dynamics of the double vane rotary hydraulic actuator system. Then, to derive the torque model, the nonlinear equations are linearized using a taylor series expansion. Both effectiveness and performance of the design of torque servo are verified by torque servo experiments and applying the suggested torque model to an impedance controller.