• Title/Summary/Keyword: Linearization method

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Adomian Decomposition Method for Point Reactor Kinetics Problems

  • Cho, Young-Chul;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.28 no.5
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    • pp.452-457
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    • 1996
  • A system, such as a reactor point kinetics equation, can be solved with Adomian Decomposition Method (ADM) which uses the notion that all solutions and operators can be expressed as an infinite sum of those basis states, like Adomian polynomials. In this work, ADM is applied to point reactor kinetics equations for step reactivity insertion, ramp input of reactivity, and nonlinear feedback cases without linearization approximation. The results of ADM are more accurate and faster than those of other existing methods, even though we use comparatively large time step sizes.

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공간적 가격균형이론에 의한 교통수요모형과 해법

  • 노정현
    • Journal of Korean Society of Transportation
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    • v.6 no.2
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    • pp.7-20
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    • 1988
  • Recent developments in combining transportation planning models and input-output approaches, together with inclusion of intensity of land uses, have made it possible to construct realistic comprehensive urban and regional activity models. These modes form the basis for a rigorous approach to studying the interactions among urban activities. However, efficient computational solution methods for implementing such comprehensive models are still not available. In this paper an efficient solution method for the urban activity model is developed by combining Evans' partial linearization technique with Powell's hybrid method. The solution algorithm is applied to a small but realistic urban area with a detailed transportation network.

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Nonlinear Control of Three-phase Split-Capacitor Inverters under Unbalanced and Nonlinear Load Conditions

  • Nguyen, Qui Tu Vo;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2012.11a
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    • pp.52-53
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    • 2012
  • This paper presents a new control scheme for a three-phase split DC-link capacitor inverter as an AC power supplies. The proposed control method can maintain the balanced sinusoidal output voltage under unbalanced and nonlinear load conditions. The validity of the control method has been verified by simulation results.

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Design of nonlinear variable structure controller using differential geometric methods (미분기하학 방법을 이용한 비선형 가변구조 제어기 설계)

  • 함철주;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1227-1233
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    • 1993
  • In this paper we present the differential geometric approach for the analysis and design of sliding modes in nonlinear variable structure feedback systems. We also design the robust controller for the nonlinear system using variable structure control theory on the basis of differential geometric methods and feedback linearization applying Min-Max control based on the Lyapunov second method. The robustness against parameter uncertainties for robot manipulators with flexible joint is considered. Simulation results are presented and show the advantage of the proposed nonlinear control method.

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Adaptive nonlinear compensation of digital communication channels using a volterra filter (볼테라 필터를 이용한 디지털 통신 채널의 적응 비선형 보상기법)

  • 김진영;최봉준;남상원
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.16-19
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    • 1996
  • The objective of this paper is to present a new adaptive nonlinear compensation method, which is based upon the Pth-order inverse theory and can be implemented in a systematic way, for weakly nonlinear systems that can be modeled by a Volterra series. In particular, employment of the proposed approach for the linearization of a given nonlinear system leads to the effective elimination of (up to a required order) nonlinearities in the overall system output. To demonstrate the feasibility of the proposed method, simulation results using a satellite communication system model are also provided.

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Nonlinear system identification method using genetic algorithm (유전자 알고리즘을 이용한 새로운 비선형 시스템 식별 방식)

  • 정경권;정성부;감한웅;엄기환
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.905-908
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    • 1998
  • In this paper, we propose an identification method for nonlinear systems. In order to identify the nonlinear system parameters, we are represented the linearization from the nonlinear system, and use a genetic algorithm(GA). The parameters are coded into binary string and searched by GA. The simulation results show the effectiveness of the proposed approach.

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Web Tension Control Using Output Feedback

  • Oh, Seung-Rohk
    • Journal of IKEEE
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    • v.11 no.4
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    • pp.213-218
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    • 2007
  • We consider a web transport system. The objective of this paper is to design the output feedback controller such that the controller can track a desired tension and processing speed on web transport system. We propose the new design method using observer and feedback linearization technique. The proposed method use a nonlinear feedback to transform to linear system and high gain observer to estimate the state value. We show that the proposed controller can achieve the control object using only output. We show a performance of controller via the simulation.

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Controller development for an EMS using nonlinear feedback linearization (비선형 궤환 선형화를 사용한 자기부상 열차의 제어기 개발)

  • 서진헌;진주화
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.669-674
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    • 1990
  • A nonlinear feedback linearizing control method for a EMS(Electro Magnetic Suspension) system is proposed. After linearizing the system using the exact linearizing method, conventional linear system control theory has been applied. Computer simulations are carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Controller Development for a Single-Magnet Suspension System Using Nonlinear Feedback Linearization (비선형궤환 선형화 기법을 사용한 단일 자석 자기부상 시스템의 제어기 개발)

  • 진주화;서진헌;김국헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.3
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    • pp.292-299
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    • 1992
  • A nonlinear feedback linearizing control method for an EMS (Electro-Magnetic Suspension) system is proposed. After linearzing the system using the exact linearizing method, conventional linear system control theory has been applied. Robustness properties of the proposed controller with respect to the load variations is also analysed for a single magnet suspension system. Computer simulation is carried out in order to compare the performance of the proposed controller with that of the existing controller designed by using Taylor series expansion around nominal points.

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Feedback Linearization of an Electro-Hydraulic Velocity Control System and the Implementation of the Digital State Feedback Controller (전기유압 속도제어 시스템의 궤환 선형화 및 이에 대한 디지틀 상태 궤환 제어의 구현)

  • 김영준;장효환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1036-1055
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    • 1992
  • In this paper the feedback linearization of the valve-controlled nonlinear hydraulic velocity control system and the implementation of the digital state feedback controller is studied. The $C^{\infty}$ nonlinear transfomation to the electro-hydraulic velocity control system, which transforms nonlinear system to linear equivalent one, is obtained. It is shown that this transformation is global one. The digital controller to this linearized model is obtained by using the one-step ahead state estimator and implemented to real plant. The proposed implementation method is easier than the other proposed methods and it is possible to control in real time. The experiment and simulation study show that the implementation of the digital state feedback controller based on the feedback linearized model is successful..