• Title/Summary/Keyword: linear discrete system

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Design of a Discrete Time Sliding Mode Controller for Laser Marking System (레이저 마킹 시스템의 이산시간 슬라이딩 모드 제어기 설계)

  • 이충우;채수경;최재모;정정주
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.4
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    • pp.304-311
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    • 2004
  • In this paper we present a technique of discrete-time sliding mode controller design for assigning eigenvalues of sliding mode and determining a convergence rate to sliding surface. First the sliding mode coefficient is designed via Ackermann s formula. Then a linear controller is designed to enforce sliding mode such that the resulting closed loop yields the desired eigenvalues. As we use a linear control instead of nonlinear control, chattering is nearly eliminated. Simulation and experimental results are included to show the effectiveness of the proposed method for Laser Marking System.

Spectral Analysis Method for the Discrete Systems with Initial Conditions (초기조건을 갖는 이산계의 과도응답에 대한 스펙트럴해석법)

  • Kim Sunghwan;Cho Jooyong;Lee Usik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.4 s.235
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    • pp.578-583
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    • 2005
  • This paper introduces a fast Fourier transform (FFT)-based spectral dynamic analysis method for the transient responses as well as the steady-state responses of the linear discrete systems subject to non-zero initial conditions. The forced vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing its results with the exact analytical solutions and the numerical solutions obtained by the Runge-Kutta method.

A Design on Robust Model Following Servo System Using $\delta$--Operator ($\delta$-연산자를 이용한 강인한 모델 추종형 서보 제어 시스템의 구성에 관한연구)

  • Kim, Chung-Tek;Hwang, Hyun-Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.2
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    • pp.121-126
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    • 2000
  • In the fast sampling limit the delta operator model tends to the analog system model. This fundamental property of the delta operator model unifies continuous and discrete time control system. In this paper we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that covers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control system The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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Stability of intervalwise receding horizon control for linear tie-varying systems

  • Ki, Ki-Baek;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.430-433
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    • 1997
  • In this paper, an intervalwise receding horizon control (IRHC) is proposed which stabilizes linear continuous and discrete time-varying systems each other by means of a feedback control stemming from a receding horizon concept and a minimum quadratic cost. The results parallel those obtained for continuous [4],[9] and discrete time varying system [5],[15] each other.

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A formal linearization of nonlinear systems based on the discrete-fourier transform

  • Takata, Hitoshi;Komatsu, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1823-1827
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    • 1991
  • The problem regarding nonlinear systems has come to occupy an important position. In order to solve a nonlinear problem we have methods of linearization which are developed through linear approximation to adapt linear system theories. In this paper we present a formal linearization of nonlinear systems based on the discrete-Fourier transform (D.F.T.).

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An Analytical Design Of A Feedback Regulator With Vector Input In A Discrete Linear Time Invariant Systems (벡터 인력을 갖는 이산선형시 불변시스템의 피이드백 조정기의 해석적 설계)

  • 고명삼;양해원
    • 전기의세계
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    • v.23 no.1
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    • pp.69-72
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    • 1974
  • This paper deals with an analytical design of a feedback regulator with vector input is discrete linear time-invariant systems. We have derived some relations such that the eigenvalues of a system plant with vector input under the time-optimal control strategy can be arbitrarily changed by the characteristics of the minor loop compensator which is indroduced in the feedback path.

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Block-decomposition of a Linear Discrete Large-scale systems Via the Matrix Sign Function (행렬부호 함수에 의한 선형 이산치 대단위 계토의 블럭-분해)

  • 천희영;박귀태;권성하;이창훈
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.11
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    • pp.511-518
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    • 1986
  • An algorithm for block-decomposition of a linear, time-invariant, discrete large-scale systems is presented, based upon the matrix sign function on Z-plane. The block-decomposition is performed by defining a reference circle, a circular stripe and projection operators. Simulation study shows that the presented algorithm is very useful for multivariable control system's analysis and design.

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Discrete Variable Structure Control for Linear Time-Varying Systems

  • Park, Kang-Bak;Teruo Tsuji;Tsuyoshi Hanamoto;S. Umerjan
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.508-508
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    • 2000
  • In this paper, a discrete-time variable structure controller for linear time-varying systems with time-varying disturbances is proposed. The proposed method guarantees that the system state is globally uniformly ultimately bounded (G,U.U.B.) under the existence of external disturbances.

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Hydrologic Time Series Model by Transfer Function (대체함수에 의한 수문 시계열 모형)

  • 강관원;김주환
    • Water for future
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    • v.24 no.3
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    • pp.61-70
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    • 1991
  • the relationships between rainfall and runoff are analyzed statistically and modelled using discrete linear transfer function, which can be shown with the relations between input and output in hydrologic system. The procedures of identification, estimation and diagnostic checking of model are proposed, and the suitabilith of assume model is determined by the statistics used in time series analysis.

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A Design on Robust Model Following Servo System using $\delta$- Operator ($\delta$- 연산자를 이용한 강인한 모델 추종형 서보 시스템의 구성에 관한 연구)

  • Kim, Jeong-Taek;Lee, Hwa-Seok;Park, Seong-Jun;Chu, Yeong-Bae;Hwang, Hyeon-Jun;Lee, Yang-U;Park, Jun-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.747-752
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    • 1999
  • In the fast sampling limit, the delta operator model tends to the analog system model. This fundamental property of the delta operator model unifies continuous and discrete time control system. In this paper, we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that convers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control. The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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