• Title/Summary/Keyword: 선형화

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State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model (T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화)

  • Kim, Tae-Kue;Wang, Fa-Guang;Park, Seung-Kyu;Yoon, Tae-Sung;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.865-871
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    • 2009
  • In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.

The optimal control for a nonlinear system using the feedback linearization (피드백 선형화를 이용한 비선형 시스템에 대한 최적 제어)

  • Lee, Jong-Yong;Lee, Won-Seok
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.3
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    • pp.25-30
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    • 2005
  • Nonlinear optimal control problems lead to Hamilton-Tacobi equations which are not analytically solvable for most practical problems. This difficulty has led to the development of suboptimal nonlinear design techniques such as controller design based on feedback linearization(FL). In this paper, we present some simple examples where the optimal answer can be found for the optimal controller, FL controller and linear controller and determine its relative performance. As a result, we get the condition of a nonlinear system for the FL controller to an optimal design.

K-domain Linearization Using Fiber Bragg Grating Array Based on Fourier Domain Optical Coherence Tomography (광섬유 브라그 격자를 이용한 퓨리어 영역 광 결맞음 단층 촬영에서의 파수영역 선형화)

  • Lee, Byoung-Chang;Eom, Tae-Joong;Jeon, Min-Yong
    • Korean Journal of Optics and Photonics
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    • v.22 no.2
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    • pp.72-76
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    • 2011
  • We demonstrate a k-domain linearization using a fiber Bragg grating (FBG) array for Fourier domain optical coherence tomography based on a wavelength swept laser. The k-domain linearization is carried out with an interpolation method using a FBG array with five FBGs. The measured signal-to-noise ratio from the point spread function after k-domain linearization is 12 dB improved over that of without k-domain linearization at the 1 mm depth of the sample. Clear OCT imaging of the slide glass with k-domain linearization could be obtained.

Application of linearization method for large-scale structure optimizations (구조물 최적화를 위한 선형화 기법)

  • 이희각
    • Computational Structural Engineering
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    • v.1 no.1
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    • pp.87-94
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    • 1988
  • The linerization method as one of the recursive quadratic programming method is applied for the optimal design of a large-scale structure supported by Pshenichny's proof of global convergence of the algorithm and convergence rate estimates. The linearization method transforms all constants of the design problem into an equivalent linearized constraint and employs the active-set strategy. This results in substantial computational savings by reducing the number of sate and adjoint to be solved at every design iteration. The illustrative example of plates with beams supported by columns is the typical one of a large-scale structure to give successful optimum solutions with satisfactory convergence criteria. Hopefully, the method may be applicable to all classes of optimization problems.

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Control of Three-Phase Four-Wire Dynamic Voltage Restorers Using Feedback Linearization (궤환선형화 기법을 이용한 3상 4선식 동적전압보상기의 제어)

  • Jeong, Seon-Yeong;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2013.07a
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    • pp.499-500
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    • 2013
  • 본 논문은 계통전압의 순간전압 강하시 궤환선형화 기법을 이용한 3상 4선식 동적전압보상기의 제어 알고리즘을 제안한다. 궤환선형화 기법은 시스템의 비선형성을 제거하여 우수한 동특성을 얻을 수 있다. 제안된 제어기법은 시뮬레이션을 통하여 그 타당성이 입증된다.

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Feedback Linearization Control of PWM Converters with LCL Input Filters (LCL 입력 필터를 갖는 PWM 컨버터의 궤환 선형화 제어)

  • Kim, Dong-Eok;Jang, Suk-Ho;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.277-279
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    • 2007
  • 본 논문에서는 댐핑저항을 사용하지 않고 LCL필터를 사용한 AC/DC PWM 컨버터를 제어하기 위해 다중 구조의 궤환 선형화 제어 알고리즘을 제안한다. 일반 궤환선형화와는 달리 다중구조를 지니므로 컨버터 입력전류의 제한이 가능하다는 장점을 지닌다. 전원전압과 전원전류를 추정하기 위해 추정기가 사용되며 시뮬레이션을 통해 제안된 제어기의 성능이 검증된다.

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Analysis of Random Ship Rolling Using Partial Stochastic Linearization (통계적 부분선형화 방법을 이용한 선체의 불규칙 횡동요 운동의 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.37-41
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    • 1995
  • In order to analyze the rolling motion of a ship in random beam waves we use the partial stochastic linearization method. The quadratic damping and the nonlinear restoring moments given by the odd polynomials up to the 11th order are added to a single degree of freedom linear equation of roll motion. The irregular excitation moment is assumed to be the Gaussian white noise. The statistical characteristics of the response by the partial stochastic linearization method is compared with results by the equivalent linearization method and Monte Carlo simulation. It is fecund that the partial stochastic linearization method is not necessarily superior to the equivalent linearization method.

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Analysis on random vibration of a non-linear system in flying vehicle due to stochastic disturbances (불규칙 교란을 받는 비행체에 장착된 비선형 시스템의 난진동 해석)

  • 구제선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1426-1435
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    • 1990
  • Dynamic behaviour of point tracking system mounted on flying vehicle shaking in a random manner is investigated and the system dynamic is represented by nonlinear stochastic equations. 2-D.O.F. nonlinear stochastic equations are successfully transformed to linear stochastic equations via equivalent linearization procedure in stochastic sense. Newly developed hybrid technique is used to obtain response statistics of the system under non-white random excitation, which is proved to be remarkably accurate one by performing stochastic simulation.

Performance Evaluation of MR Damper using Equivalent Linearization Technique (선형화 기법을 이용한 MR 감쇠기 성능평가)

  • Lee, Sang-Hyun;Min, Kyung-Won;Lee, Myoung-Kyu
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.2 s.42
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    • pp.1-6
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    • 2005
  • The purpose of this paper is to evaluate the performance of an MR fluid damper for seismic vibration control of a structure in terms of equivalent linear damping based on linearization technique and to experimentally verify the results from linearization technique by comparing them to those from system identification testing of a building structure with the MR damper. First, among various models for the MR damper, the equivalent damping is estimated for the Bingham model which is mathematically simple. Second, the transfer function of a building structure with the MR damper is obtained by performing shaking table tests and the damping matrices of the structure are constructed using the modal information obtained by the transfer function. It is observed that the damping mathematically estimated using linearization technique for the Bingham model matches well with the damping coefficient experimentally obtained by system identification.

Fabrication of IMT-2000 Linear Power Amplifier using Current Control Adaptation Method in Signal Cancelling Loop (신호 제거 궤환부의 전류 제어 적응형 알고리즘을 이용한 IMT-2000용 선형화 증폭기 제작)

  • 오인열;이창희;정기혁;조진용;라극한
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.1
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    • pp.24-36
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    • 2003
  • The digital mobile communication will be developed till getting multimedia service in anyone, any where, any time. Theses requiring items are going to be come true via IMT-2000 system. Transmitting signal bandwidth of IMT-2000 system is 3 times as large as IS-95 system. That is mean peak to average of signal is higher than IS-95A system. So we have to design it carefully not to effect in adjacent channel. HPA(High Power Amplifier) located in the end point of system is operated in 1-㏈ compression point(Pl㏈), then it generates 3rd and 5th inter modulation signals. Theses signals affect at adjacent channel and RF signal is distorted by compressed signal which is operated near by Pl㏈ point. Then the most important design factor is how we make HPA having high linearity. Feedback, Pre-distorter and Feed-forward methods are presented to solve theses problems. Feed-forward of these methods is having excellent improving capacity, but composed with complex structure. Generally, Linearity and Efficiency in power amplifier operate in the contrary, then it is difficult for us to find optimal operating point. In this paper we applied algorithm which searches optimal point of linear characteristics, which is key in Power Amplifier, using minimum current point of error amplifier in 1st loop. And we made 2nd loop compose with new structure. We confirmed fabricated LPA is operated by having high linearity and minimum current condition with ACPR of -26 ㏈m max. @ 30㎑ BW in 3.515㎒ and ACLR of 48 ㏈c max@${\pm}$㎒ from 1W to 40W.