• Title/Summary/Keyword: Discrete System

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Heuristic Approach to the Mean Waiting Time of $Geo^x/G/1$ Vacation Queues with N-policy and Setup Time (휴리스틱 방법을 이용한 N정책과 준비기간을 갖는 휴가형 $Geo^x/G/1$ 모형의 평균대기시간 분석)

  • Lee, Sung-Hee;Kim, Sung-Jin;Chae, Kyung-Chul
    • Journal of the Korean Operations Research and Management Science Society
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    • v.32 no.1
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    • pp.53-60
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    • 2007
  • We consider the discrete-time $Geo^x/G/1$ queues under N-policy with multiple vacations (a single vacation) and setup time. In this queueing system, the server takes multiple vacations (a single vacation) whenever the system becomes empty, and he begins to serve the customers after setup time only if the queue length is at least a predetermined threshold value N. Using the heuristic approach, we derive the mean waiting time for both vacation models. We demonstrate that the heuristic approach is also useful for the discrete-time queues.

Multirate and Composite Control of Two-Time-Scale Stochastic Discrete-Time Systems (두개의 시간스케일 추계 이산시간 시스템의 다중표본화 복합제어기)

  • Park, Jong-Wook;Hong, Jae-Keun;Kim, Soo-Joong
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1225-1228
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    • 1987
  • It is shown that the singularly perturbed continuous-time system is led to two different discrete versions according to slow or fast sampling rates. The design of stabilizing feedback control of singularly perturbed discrete-time stochastic system is decomposed into the design of slow and fast controllers, which is combined to form the composite control. Composite control law is derived for the case of both single rate measurement and multirate measurement.

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Control of discrete-time chaotic systems using indirect adaptive control (간접 적응 제어 기법을 이용한 이산치 혼돈 시스템의 제어)

  • 박광성;주진만;최윤호;윤태성
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.318-322
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    • 1996
  • In this study, a controller design method is proposed for controlling the discrete-time chaotic systems efficiently. Our proposed control method is based on Generalized Predictive Control and uses NARMAX models as a controlled model. In order to evaluate the performance of our proposed controller design method, a proposed controller is applied to Henon system which is a discrete-time chaotic system, and then the control performance of the proposed controller are compared with those of the previous model-based controllers through computer simulations. Through simulations, it is shown that the control performance of the proposed controller is superior to that of the conventional model-based controller.

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Performance Evaluation and Analysis for Discrete Wavelet Transform on Many-Core Processors (매니코어 프로세서 상에서 이산 웨이블릿 변환을 위한 성능 평가 및 분석)

  • Park, Yong-Hun;Kim, Jong-Myon
    • IEMEK Journal of Embedded Systems and Applications
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    • v.7 no.5
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    • pp.277-284
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    • 2012
  • To meet the usage of discrete wavelet transform (DWT) on potable devices, this paper implements 2-level DWT using a reference many-core processor architecture and determine the optimal many-core processor. To explore the optimal many-core processor, we evaluate the impacts of a data-per-processing element ratio that is defined as the amount of data mapped directly to each processing element (PE) on system performance, energy efficiency, and area efficiency, respectively. This paper utilized five PE configurations (PEs=16, 64, 256, 1,024, and 4,096) that were implemented in 130nm CMOS technology with a 720MHz clock frequency. Experimental results indicated that maximum energy and area efficiencies were achieved at PEs=1,024. However, the system area must be limited 140mm2 and the power should not exceed 3 watts in order to implement 2-level DWT on portable devices. When we consider these restrictions, the most reasonable energy and area efficiencies were achieved at PEs=256.

Stabilization of Nonlinear Discrete-Time Systems in a Frequency Domain

  • Okuyama, Yoshifumi;Nakamori, Kenji;Takemori, Fumiaki
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.2-33
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    • 2001
  • The robust stability condition for sampled-data control systems with a sector nonlinearity was presented in our previous paper. Although it is applicable only to the sampled-data control system of a certain class, a usual discretetime control system can belongs to this type of class. This paper analyzes the amplitude dependent behavior of nonlinear sampled-data (i.e., discrete-time) control systems in a frequency domain. By considering restricted areas (sectors) in the nonlinear characterisitic, the existence of a sustained oscillation is estimated, and the relationship between the stable/unstable conditions and the result derived from describing function is compared. Based on these considerations, the stabilization of nonlinear discrete-time control systems is examined in the frequency domain.

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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.

Stability of discrete state delay systems

  • Suh, Young-Soo;Lee, Won-Gu;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.112-115
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    • 1999
  • A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed. The proposed stability condition ensures stability of a discrete state delay system whose state delay is not exactly known but only known to lie in a certain interval.

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Robust stability for discrete time-delay systems with perturbations (섭동을 가지는 이산 시간지연 시스템의 강인 안정성)

  • Park, Ju-Hyeon;Won, Sang-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.158-164
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    • 1996
  • In this paper, we consider the problem of robust stability of discretd time-delay systems subjected to perturbations. Two classes of perturbations are treated. The first one is the nonlinear norm-bounded perturbation, and the second is the structured time-varying parametric perturbation. Based on the discrete-time Lyapunov stability theory, several new sufficient conditions for robust stability of the system are presented. From these conditions, we can estimate the maximum allowable bounds of the perturbations which guarantee the stability. Finally, numerical examples are given to demonstrate the effectiveness of the results.

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Stabilization of discrete-time semilinear heat processes by boundary inputs

  • Koay, S.P.;Sano, H.;Ito, K.;Kunimatsu, N.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1284-1288
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    • 1990
  • In this paper, we are going to study the stabilization of the semilinear heat equation with inhomogenous boundary conditions, whose solutions are not (in general) stable. Here, we use the discrete-time feedback inputs through the boundary of geometric domain to the semilinear system under some additional conditions and assumptions. It is shown that under these conditions, the stabilization can be realized by applying pole assignment argument to the principal linear part of the system and that the solutions exist globally in discrete-time t without any finite escape time.

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