• Title/Summary/Keyword: piecewise-linear

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A study on the design of HB step motor using the piecewise-linear circuit analysis (구간 선형 회로 해석을 이용한 HB 스텝 모터의 설계에 관한 연구)

  • 이태규;허욱렬
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.573-578
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    • 1988
  • The objectives of this paper are to establish an equivalent magnetic circuit of the hybrid PM step motor and to apply the canonical piecewise linear eqation and the Kazenelson algorithm of solving the nonlinear magnetic circuit, so that the static holding torque and the magnetic properties of the motor are determined. The results of that are applied to the design of the hybrid step motor.

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Synchronization of Chaos in a Dual-structured System Consisting of Two Identical Piecewise-linear Systems

  • Kita, Toshihiro
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.2012-2015
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    • 2002
  • Synchronization phenomena of chaos observed in a dual-structured system is presented. The system is consisting of two identical piecewise-linear systems and the simple coupling between the two systems enables the synchronization of the chaotic behavior. An application of the proposed dual-structure to a real power system for the parameter value identification is also presented.

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Fuzzy Model of Semiconductor Devices (반도체 소자의 퍼지모델)

  • 강근택;권태하
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.12
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    • pp.2001-2009
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    • 1989
  • This study suggests the use of fuzzy model in the semiconductor devices modeling as a black box approach. When membership functions of fuzzy sets used in a fuzzy model are simple piecewise-linear functions, the fuzzy model can be reresented in a simple equation. To show that the fuzzy model can be very realistic and simple when used in semiconductor devices modeling, we construct fuzzy models for bipolar transistor, MOSFET and GaAs FET, and compare those with canonical piecewise-linear models.

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Fast Elliptic Object Reconstruction from Projections by Support Estimation (서포트 추정을 이용한 빠른 이미지 사영 기반 타원형 물체 복원 기법)

  • Ko, Kyeong-Jun;Lee, Jung-Woo
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.105-106
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    • 2007
  • We present a fast reconstruction technique for elliptic objects, which can be applied to real-time computer tomography (CT) for simple geometric objects. It will be also shown that only 3 projections are needed to reconstruct an ellipse. A piecewise quadratic model is also proposed for more efficient Kalman filter based support estimation, which is used for the fast reconstruction technique. The performance of the piecewise quadratic model is compared with that of the existing piecewise linear model. Simulation results for the fast reconstruction are also presented.

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Efficient Alalysis of Resistive Networks With Canonical Piecewise-Linear Equations (정규 구간선형 방정식을 갖는 저항성 회로의 효율적인 해석)

  • 조준영;조진국;권용세;김영환
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.12
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    • pp.142-151
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    • 1994
  • This paper proposes new algorithms to solve canonical piecewise-linear equations with linear partitions and illustrates their efficiency through the analysis of resistive network. The basic idea of the proposed algorithm is to find the best next guess, closest to the actual solution, at each Newton-Raphson (N-R) iteration by comparing the images of nest guess candidates and that of the actual solution. The proposed algorithm can reduce the number of the N-R iterations rquired for convergence greatly, compared to the actual solution, at each Newton-Raphson (N-R) iteration by comparing the images of next guess candidates and that of the actual solution. The proposed algorithm can reduce the number of the N-R iterations required for convergence greatly, compared to the Katzenelson algorithm. When applied to analyzing test circuits, the proposed algorithm required 8 to 20 times fewer N-R iterations and 5 to 10 times less CPU time than the Katzenelson algorithm, depending on the size of the circuits. The experimental results also exhibit that the efficiency of the proposed algorithm over the Katzenelson algorithm increases as the number of the piecewise-linear regions for the representation of the circuit.

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Controller Design for Discrete-Time Affine T-S Fuzzy System with Parametric Uncertainties (파라미터 불확실성을 갖는 이산시간 어핀 T-S 퍼지 시스템의 제어기 설계)

  • Lee, Sang-In;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2516-2518
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    • 2004
  • This paper proposes a stability condition in discrete-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

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Experiment and Analysis of Piecewise-Linear Vibration systems (편적 선형 진동계의 실험과 해석)

  • Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.461-467
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    • 2000
  • Mechanical problems are basically three dimensional nonlinear dynamic problems, which makes it difficult to solve. The difficulties are tried to overcome by modeling, i.e., simplifications of the system with the assumptions or negligence of minute effects. However, the correctness or usefulness of the model should be verified through the comparison with experimental results, which is the process of physical understanding of the system. The understanding of physics of the system make it possible to design or operation of the system. The effects of clearance and friction are always difficult problems in mechanical system due to its nonlinearity. The nonlinearity comes from piecewise-linear characteristics of the stiffness and damping of the system. The modeling of piecewise-linearity and the experimental result are discussed in this paper for impact and friction oscillator and rotor rubbing problem, which is the combination of impact and friction problems.

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Evolutionary Computation Approach to Wiener Model Identification

  • Oh, Kyu-Kwon;Okuyama, Yoshifumi
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.1-33
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    • 2001
  • We address a novel approach to identify a nonlinear dynamic system for Wiener models, which are composed of a linear dynamic system part followed by a nonlinear static part. The aim of system identification here is to provide the optimal mathematical model of both the linear dynamic and the nonlinear static parts in some appropriate sense. Assuming the nonlinear static part is invertible, we approximate the inverse function by a piecewise linear function. We estimate the piecewise linear inverse function by using the evolutionary computation approach such as genetic algorithm (GA) and evolution strategies (ES), while we estimate the linear dynamic system part by the least squares method. The results of numerical simulation studies indicate the usefulness of proposed approach to the Wiener model identification.

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Lane Detection on Non-flat Road Using Piecewise Linear Model (굴곡진 도로에서의 구간 선형 모델을 이용한 차선 검출)

  • Jeong, Min-Young;Kim, Gyeonghwan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.6
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    • pp.322-332
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    • 2014
  • This paper proposes a robust lane detection algorithm for non-flat roads by combining a piecewise linear model and dynamic programming. Compared with other lane models, the piecewise linear model can represent 3D shapes of roads from the scenes acquired by monocular camera since it can form a curved surface through a set of planar road. To represent the real road, the planar roads are created by various angles and positions at each section. And dynamic programming determines an optimal combination of planar roads based on lane properties. Experiment results demonstrate the robustness of proposed algorithm against non-flat road, curved road, and camera vibration.

A Dispersive APML using Piecewise Linear Recursive Convolution for FDTD Method (FDTD법을 이용하여 분산매질을 고려하기 위한 PLRC-APML 기법)

  • Lee Jung-Yub;Lee Jeong-Hae;Kang No-Weon;Jung Hyun-Kyo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.10 s.89
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    • pp.977-982
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    • 2004
  • In this paper, a dispersive anisotropic perfectly matched layer(APML) is proposed using piecewise linear recursive convolution(PLRC) for finite difference time domain(FDTD) methods. This proposed APML can be utilized for the analysis of a nonlinear dispersive medium as absorbing boundary condition(ABC). The formulation is simple modification to the original AMPL and can be easily implemented. Also it has some advantages of the PLRC approach-fast speed, low memory cost, and easy formulation of multiple pole susceptibility. We applied this APML to 2-D propagation problems in dispersive media such as Debye and Lorentz media The results showed good absorption at boundaries.