• Title/Summary/Keyword: Direct Numerical Method

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On the stabilization of singular bilinear systems

  • Liang, Jia-Rong;Choi, Ho-Lim;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.449-451
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    • 2003
  • In this paper, the stability problem for singular bilinear system is investigated. We present state feedback control laws for two classes of singular bilinear plants. Asymptotic stability of the closed-loop systems is derived by employing singular Lyapunov's direct method. The primary advantage of our approach lies in its simplicity. In order to verify effectiveness of the results, two numerical examples are given.

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A Study on the Characteristics of an Externally Pressurized Conical Gas Bearing (외부가압 원추형 공기베어링의 특성에 관한 연구)

  • 박상신;한동철
    • Tribology and Lubricants
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    • v.7 no.1
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    • pp.35-39
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    • 1991
  • The performance of the ultra-precision machine tools depends on the steady state characteristics of the main spindle bearings. For excluding the effect of machining error with perpendicularity, conical or spherical bearing has been used. In this paper, steady analysis of the externally pressurized conical gas bearing for ultraprecision is carried out based on the direct numerical method with assumption of point source. As a result of theoretical analysis, design parameters for optimal condition of conical gas bearing are' presented in dimensionless form.

A Study on the Dynamic Characteristics of an Externally Pressurized Gas Bearing (외부가압 공기베어링의 동적 특성에 관한 해석)

  • 김우정;박상신;한동철
    • Tribology and Lubricants
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    • v.7 no.2
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    • pp.51-60
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    • 1991
  • For the accurate run-out of a light rotor shaft the sliding bearings supplied with externally pressurized air are effectively applied, and it is important to predict the static and dynamic characteristics of rotor-bearing system. In this study direct numerical method is applied to solve the perturbed Reynolds' equation. To solve it the perturbed dimensionless mass flow rate is used as the boundary condition under the inherently-compensated restrictor. The dynamic characteristics of a rotor supported in the externally pressurized air bearings are analyzed, and as a result the orbit of the journal center is calculated. The theoretical results are investigated and discussed.

Dynamic Characteristics of an Externally Pressurized Conical Gas Bearing (외부가압 원추형 공기 베어링의 동특성에 관한 연구)

  • 박상신;김우정;김종원;한동철
    • Tribology and Lubricants
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    • v.8 no.1
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    • pp.78-83
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    • 1992
  • For excluding the effect of machining error such as perpendicularity, conical and spherical bearing has been used. In this paper, dynamic characteristics of the externally pressurized conical gas bearing for untraprecision main spindle is carried out based on the direct numerical method with assumption of point source. As a result of theoretical analysis, it is verified that coupled stiffness and damping exist and new design parameters for optimal condition of conical gas bearing are presented in dimensionless form.

State Feedback Control by Adaptive Observer for Plants with Unknown Disturbance

  • Araki, Kazutoshi;Michino, Ryuji;Mizumoto, Ikuro;Iwai, Zenta;Makino, Tomoya
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.48.3-48
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    • 2002
  • 1) Linear state feedback control design problem for plant with unknown deterministic disturbance is considered and a method to realize state feedback by using adaptive observer which estimates the unknown disturbance simultaneously is proposed. 2) From the viewpoint of practical application, we propose an extended adaptive observer with direct plant path from input to output, which is necessary to use the acceleration type sensors as plant output. 3) Theoretical result is confirmed by numerical simulation of 1-DOF vibration control system.

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Direct Solving the Boltzmann Equation for Supersonic Jet Problems with Instabilities

  • Aristov V.V.;Zabelok S.A.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.268-269
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    • 2003
  • The Boltzmann kinetic equation is solved directly by means of the conservative splitting method. Underexpanded supersonic free jet flows with small Knudsen numbers are studied. In this numerical simulation features intrinsic to appropriate experiments are observed. Streamwise vortices in a mixing layer and chaotic downstream temporal-spatial fluctuations of microscopic quantities with large amplitude are obtained.

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Dynamic stability analysis of axially oscillating cantilever beams (축방향 왕복운동을 하는 외팔보의 동적 안정성 해석)

  • 현상학;유홍희
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.469-474
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    • 1996
  • Dynamic stability of an axially oscillating cantilever beam is investigated in this paper. The equations of motion are derived and transformed into non-dimensional ones. The equations include harmonically oscillating parameters which originate from the motion-induced stiffness variation. Using the equations, the multiple scale perturbation method is employed to obtain a stability diagram. The stability diagram shows that relatively large unstable regions exist around the frequencies of the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the diagram is proved by direct numerical simulations of the dynamic system.

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The estimation of the robustness bounds of the systems having structured perturbations

  • Jo, Jang-Hyen
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.420-423
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    • 1995
  • The stability of system is one of the important aspects and to judge system's stability is another complicated problem. Previously, new technique derived from relaxing Lyapunov conditions has been already introduced and in this paper, this proposed technique applies to the practical dynamic systems. This utility of numerical procedures prove the comparable improvements of the estimation of robustness for dynamic systems having structured (bounded) perturbations.

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Frequency weighted reduction using Lyapunov inequalities (Lyapunov 부등식을 이용한 주파수하중 차수축소)

  • 오도창;정은태;이상경
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.12-12
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    • 2000
  • This paper consider a new weighted model reduction using block diagonal solutions of Lyapunov inequalities. With the input and/or output weighting function, the stability of reduced order system is quaranteed and a priori error bound is proposed. to achieve this, after finding the solutions of two Lyapunov inequalities and balancing the full order system, we find the reduced order systems using the direct truncation and the singular perturbation approximation. The proposed method is compared with other existing methods using numerical example.

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Lot Size Determination in the Kanban System (Kanban 시스템에서의 로트크기 결정)

  • Kang, Suk-Ho;Kang, Jin-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.1
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    • pp.115-122
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    • 1990
  • Kanban, a pull system for inventory control is in direct contrast to conventional push systems. In the pull system, the kind and quantity of items needed by the succeeding stage are withdrawn from the preceding stage, only at the rate and at the time they are consumed. In this paper, lot size models are formulated in two special cases of practical interests and simple solution procedures are adapted to minimize the total cost of the kanban system. An numerical example is solved to illustrate the method.

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