• Title/Summary/Keyword: State-space equations

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Data-based Control for Linear Time-invariant Discrete-time Systems

  • Park, U. S.;Ikeda, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1993-1998
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    • 2004
  • This paper proposes a new framework for control system design, called the data-based control approach or data space approach, in which the input and output data of a dynamical system is directly and solely used to analyze or design a control system without the employment of any mathematical models like transfer functions, state space equations, and kernel representations. Since, in this approach, most of the analysis and design processes are carried out in the domain of the data space, we introduce some notions of geometrical objects, e.g., the openloop and closed-loop data spaces, which serve as the system representations in the data space. In addition, we establish a relationship between the open-loop and closed-loop data spaces that the closed-loop data space is contained in the open-loop data space as one of its subspaces. By using this relationship, we can derive the data-based stabilization condition for a linear time-invariant discrete-time system, which leads to a linear matrix inequality with a rank constraint.

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Parity Space and Pattern Recognition Approach for Hardware Redundant System Signal Validation using Artificial Neural Networks (인공신경망을 이용하여 하드웨어 다중 센서 신호 검증을 위한 패리티 공간 및 패턴인식 방법)

  • 윤태섭
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.765-771
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    • 1998
  • An artificial neural network(NN) technique is developed for hardware redundant sensor validation. Since the measurement space is a continuous space with many operating regions, it is difficult to train a NN to correctly detect failure in an accurate measurement system. A conventional backpropagation NN is modified to include an additional preprocessing layer that extracts classification features from scalar measurements. This feature extraction means transform the measurement space to parity space. The NN is independent of the state variable being measured, the instrument range, and the signal tolerance. This NN resembles the parity space approach to signal validation, except that analytical parity equations are unneeded and the NN pattern recognition capability is utilized for decision making.

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A model of a solar eruption affected by a solar wind

  • Lee, Hwanhee;Magara, Tetsuya;Kang, Jihye;Satoshi, Inoue;An, Jun-Mo
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.99.2-99.2
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    • 2014
  • We investigate how a solar eruption occurs in an environment where a solar wind exists during a pre-eruptive phase. To understand it, we have performed three-dimensional simulations based on a zero-beta magnetohydrodynamic (MHD) equations in various ways to drive an eruption with a solar wind. A pre-eruptive state is derived by applying a nonlinear force-free reconstruction method to a flux emergence full MHD simulation. We discuss what is the most appropriate way to drive a solar wind-related eruption.

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Optimal Design of Integrated Control System Considering Soil-Structure Interaction (지반-구조물 상호작용을 고려한 복합제어시스템의 최적설계)

  • Park, Kwan-Soon;Park, Jang-Ho
    • Journal of the Korean Society of Safety
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    • v.27 no.2
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    • pp.57-64
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    • 2012
  • For the vibration control of earthquake-excited buildings, an optimal design method of integrated control system considering soil-structure interaction is studied in this paper. Interaction between soils and the base of the building is simply modeled as lumped parameters and equations of motion are derived. The equations of motion are transformed into the state space equations and the probabilistic excitations such as Kanai-Tajumi power spectral density function is introduced. Then an optimization problem is formulated as finding hybrid or integrated control systems which minimizes the stochastic responses of the building structure for given constraints. In order to investigate the feasibility of the optimization method, an example design and numerical simulations are performed with tenstory building. Finally, numerical results are compared with a conventional design case that soil-structure interaction is not considered.

The Use of Hermite Cubic Element for Inviscid Convective Equations (비점성 대류 방정식의 계산을 위한 Hermite 3차 요소의 사용에 대한)

  • 김진환
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.99-106
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    • 1993
  • The use of Hermite cubic element, as a possible finite element computation of transport equations containing shocks, has been invesigated. In the present paper the hermite cubic elements are applied to both linear and nonlinear scalar one and two dimensional equations. In the one dimensional problems, numerical results by the hermite cubic element show better than those by the linear element, and the steady state solution by the hermite cubic element yields result with good resolution. This fact proves the superiority of the hermite cubic element in space differencing. In two dimensional case, the results by the hermite cubic element shows a boundary instability, and the use of higher order time differencing method may be necessary for fixing the problem.

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Analysis of Solar Tracking System Via Single Term Walsh Series Approach (월쉬 단일항 전개에 의한 태양추적장치의 해석)

  • Yoo, Sang-Jin;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.682-686
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    • 1991
  • The purpose of a solar tracking system (STS) is to control the attitude of a space vehicle so that it will track the sun with high accuracy. In this paper, the literature of tracking of the sun in a plane is surveyed and a control modeling for the analysis of STS is presented by simultaneous transfer functions and state-space equations. Also a program for obtaining state variables by the single term Walsh series(STWS) approach is developed. The proposed approach is much simpler in analysis and easier in implementation than the Runge-Kutta numerical integration Method. The results of computer simulation are shown for the dynamic behaviors of vehicle axis, armature-controlled dc motor and controller of STS via a Runge-Kutta method and a single term Walsh series approach, respectively.

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Systematic Dynamic Modeling of an Integrated Single-stage Power Converter

  • Choi, Ki-Young;Lee, Kui-Jun;Kim, Yong-Wook;Kim, Rae-Young
    • Journal of Electrical Engineering and Technology
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    • v.10 no.6
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    • pp.2288-2296
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    • 2015
  • This paper proposes a novel systematic modeling approach for an integrated single-stage power converter in order to predict its dynamic characteristics. The basic strategy of the proposed modeling is substituting the internal converters with an equivalent current source, and then deriving the dynamic equations under a standalone operation using the state-space averaging technique. The proposed approach provides an intuitive modeling solution and simplified mathematical process with accurate dynamic prediction. The simulation and experimental results by using an integrated boost-flyback converter prototype provide verification consistent with theoretical expectations.

Comparing Two Approaches of Analyzing Mixed Finite Volume Methods

  • Chou, So-Hsiang;Tang, Shengrong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.1
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    • pp.55-78
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    • 2001
  • Given the anisotropic Poisson equation $-{\nabla}{\cdot}{\mathcal{K}}{\nabla}p=f$, one can convert it into a system of two first order PDEs: the Darcy law for the flux $u=-{\mathcal{K}{\nabla}p$ and conservation of mass ${\nabla}{\cdot}u=f$. A very natural mixed finite volume method for this system is to seek the pressure in the nonconforming P1 space and the Darcy velocity in the lowest order Raviart-Thomas space. The equations for these variables are obtained by integrating the two first order systems over the triangular volumes. In this paper we show that such a method is really a standard finite element method with local recovery of the flux in disguise. As a consequence, we compare two approaches in analyzing finite volume methods (FVM) and shed light on the proper way of analyzing non co-volume type of FVM. Numerical results for Dirichlet and Neumann problems are included.

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A State-Space Transient Response Analysis of Rotor-Bearing System with Base Excitation (기초가진 로터-베어링 시스템의 상태공간 과도응답해석)

  • 이안성;김병옥;김영철;김영춘
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.669-674
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    • 2004
  • In this study, the analytical method to evaluate the response of rotor-bearing system subjected to base excitation was presented. The equations of motion contain speed dependent gyroscopic terms, base rotation dependent parametric terms and several forcing function terms which depend on linear accelerations, rotational accelerations and a combination of linear and rotational combination. The study of rotor-bearing system excited by its base motion is not only able to predict the rotational performance, but provides the fundamental data for vibration isolation. In order to illustrate transient response, transient response analysis of a practical application sample were performed. The transient response was carried out for the given base excitation by using the state-space Newmark method that incorporates the average velocity concept.

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A SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR FIRST ORDER HYPERBOLIC SYSTEMS

  • Zhang, Tie;Liu, Jingna
    • Journal of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.665-678
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    • 2014
  • We present a new space-time discontinuous Galerkin (DG) method for solving the time dependent, positive symmetric hyperbolic systems. The main feature of this DG method is that the discrete equations can be solved semi-explicitly, layer by layer, in time direction. For the partition made of triangle or rectangular meshes, we give the stability analysis of this DG method and derive the optimal error estimates in the DG-norm which is stronger than the $L_2$-norm. As application, the wave equation is considered and some numerical experiments are provided to illustrate the validity of this DG method.