• Title/Summary/Keyword: discrete systems

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ADAPTIVE CHANDRASEKHAR FILLTER FOR LINEAR DISCRETE-TIME STATIONALY STOCHASTIC SYSTEMS

  • Sugisaka, Masanori
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.1041-1044
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    • 1988
  • This paper considers the design problem of adaptive filters based an the state-space models for linear discrete-time stationary stochastic signal processes. The adaptive state estimator consists of both the predictor and the sequential prediction error estimator. The discrete Chandrasakhar filter developed by author is employed as the predictor and the nonlinear least-squares estimator is used as the sequential prediction error estimator. Two models are presented for calculating the parameter sensitivity functions in the adaptive filter. One is the exact model called the linear innovations model and the other is the simplified model obtained by neglecting the sensitivities of the Chandrasekhar X and Y functions with respect to the unknown parameters in the exact model.

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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.

The problem of stability and uniform sampling in the application of neural network to discrete-time dynamic systems

  • Eom, Tae-Dok;Kim, Sung-Woo;Park, kang-bark;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.119-122
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    • 1995
  • Neural network has found wide applications in the system identification, modeling, and realization based on its function approximation capability. THe system governe dby nonlinear dynamics is hard to be identified by the neural network because there exist following difficulties. FIrst, the training samples obtained by the stae trajectory are apt to be nonuniform over the region of interest. Second, the system may becomje unstable while attempting to obtain the samples. This paper deals with these problems in discrete-time system and suggest effective solutions which provide stability and uniform sampliing by the virtue of robust control theory and heuristic algorithms.

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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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A Study on a Reactive Power Control using Digital Filtering (디지털 필터링을 이용한 무효전력 제어에 관한 연구)

  • 우천희;강신준;이덕규;우광방;이성환
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.4
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    • pp.517-524
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    • 1998
  • This paper discusses the development of a reactive power controller using digital signal processing. Digital Signal Processing is the technique of using digital devices to Process continuous signals or data, often in real-time. And DSP algorithms are associated with a discrete time interval between input samples. When one designs a digital filter, one can use a Laplace transform to determine the continuous time frequency response. The corresponding discrete time transform is called Z transform and depends upon discrete samples of the input spaced equally in time. The objectives of this paper are to minimize real power losses and improve the power factor of a given system. Also, the implementation of a direct-form non recursive filter on the TMS320C31 has been described. The application of this microprocessor-based controller using DSP on test system reveals its numerous advantages. Performance and features of the controller for the reactive power control are analyzed.

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Considerations on the use of a Boost PFC Regulator Used in Household Air-conditioning Systems (over 3kW)

  • Jang Ki-Young;Suh Bum-Seok;Kim Tae-Hoon
    • Proceedings of the KIPE Conference
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    • 2002.07a
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    • pp.589-592
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    • 2002
  • The CCM (Continuous Conduction Mode) boost topology is generally used in the PFC (Power Factor Correction) regulator of household air-conditioning systems. There are three kinds of power devices-bridge rectifier diodes, FRDs (Fast Recovery Diodes), and IGBTs (or MOSFETs) - used In a boost PFC regulator. Selecting the appropriate device is very cumbersome work, specially, in the case of FRDs and IGBTs, because there are several considerations as described below: 1) High frequency leakage current regulation (conducted and radiated EMI regulation) 2) Power losses and thermal design 3) Device cost. It should be noted that there are trade-offs between the power loss characteristic of 2) and the other characteristics of 1) and 3). This paper presents a detailed evaluation by using several types of power devices, which can be unintentionally used, to show that optimal selection can be achieved. Based on the given thermal resistances, thermal analysis and design procedures are also described from a practical viewpoint.

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The Sampled-Data $H_{\infty}$ Problem: Obtaining an equivalent discrete-time system via a closed-loop expression of worst-case disturbance (샘플치 $H_{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 등가의 이산시간 시스템 구현)

  • 공민종;조창호;이상철;조도현;이상효
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.340-340
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    • 2000
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for H$_{\infty}$ type problem for sampled-data control systems. A widely used ph is based on the lifting technique, but it needs somewhat complicate computation. Instead this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

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Control of Discrete-Time Chaotic Systems Using Model-Based Control (모델 기준 제어를 이용한 이산치 혼돈 시스템의 제어)

  • Park, Kwang-Sung;Joo, Jin-Man;Park, Jin-Bae;Choi, Yoon-Ho;Yoon, Tae-Sung
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1056-1059
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    • 1996
  • In this study, a new OSA controller is proposed for controlling discrete-time chaotic systems efficiently. A new OSA controller uses NARMAX models, and its feedback gain is designed on the basis of conventional linear control theory. In order to evaluate the performance of a new OSA controller, a new OSA controller is applied to Henon system which is a discrete-time chaotic system, and then the control performance of a new OSA controller are compared with that of the previous model-base controller through computer simulations.

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Symbolic Simulation of Discrete Event Systems (이산 사건 시스템의 기호적 시뮬레이션)

  • 지승도
    • Proceedings of the Korea Society for Simulation Conference
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    • 1992.10a
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    • pp.7-7
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    • 1992
  • Extending discrete event modelling formalisms to facilitate greater symbol manipulation capabilities is important to further their use in intelligent control and design of high autonomy systems. This paper defines an extension to the DEVS formalism that facilitates symbolic expression of discrete event times by extending the time base from the real numbers to the field of linear polynomials over the reals. A simulation algorithm is developed to generate the branching trajectories resulting from the underlying non-determinism. To efficiently manage linear polynomial constraints based on feasibility checking algorithm borrowed from linear programming. The extended formalism offers a convenient means to conduct multiple, simultaneous explorations of model behaviors. Examples of application are given with consideration on fault model analysis.

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System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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