• 제목/요약/키워드: Linear perturbation theory

검색결과 73건 처리시간 0.024초

An Algorithm for Robust Noninteracting Control of Ship Propulsion System

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • 제14권4호
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    • pp.393-400
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    • 2000
  • In this paper, a new algorithm for noninteracting control system design is proposed and applied to ship propulsion system control. For example, if a ship diesel engine is operated by consolidated control with controllable pitch propeller (CPP), the minimum fuel consumption is achieved satisfying the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption, and the both pitch angle of CPP and throttle valve angle are controlled simultaneously. In this context of view, this paper gives a controller design method for a ship propulsion system with CPP based on noninteracting control theory. Where, linear matrix inequality (LMI) approach is introduced for the control system design to satisfy the given $H_{\infty}$, constraint in the presence of physical parameter perturbation and disturbance input. To the end, the validity and applicability of this approach are illustrated by the simulation in the all operating ranges.

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단일 모드 광섬유의 Faraday Rotation 해석에 관한 연구 (A Study on the Analysis of Faraday of Single Mode Optical Fiber.)

  • 김기영;양길호;김은수;양인응
    • 한국통신학회:학술대회논문집
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    • 한국통신학회 1982년도 추계학술발표회논문집
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    • pp.67-70
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    • 1982
  • In this paper, the intrinsic birefringence and Faraday rotation of the single mode optical fiber have been investigated. On the analysis, the optical fiber has been modeled as a linear retarder and the intrinsic linear retardation of the fiber is approximatly found to be 2.57 deg/m from the measurement. Faraday ratation was analyzed as perturbation theory and Jones matrix.

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Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam

  • Bakalah, Ebrahim S.;Zaman, F.D.;Saleh, Khairul
    • Coupled systems mechanics
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    • 제7권5호
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    • pp.635-647
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    • 2018
  • Dynamic problems arising from the Euler-Bernoulli beam model with inhomogeneous elastic properties are considered. The method of Green's function and perturbation theory are employed to find the deflection in the beam correct to the first-order. Eigenvalue problems appearing from transverse vibrations of inhomogeneous beams in linear and nonlinear cases are also discussed.

건드림된 프리이드만 시공간 속의 각지름 거리: 중력파의 효과 (ANGULAR DIAMETER DISTANCE IN PERTURBED FRIEDMANN SPACETIME: EFFECTS OF GRAVITATIONAL WAVES)

  • 송두종
    • 천문학논총
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    • 제19권1호
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    • pp.1-10
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    • 2004
  • On the framework of a linearly perturbed Friedmann-Robertson-Walker spacetime, we derive an expression for the cosmological angular diameter distance affected by scalar and tensor perturbations. Our expression is applicable in linear order to distances in general FRW models. We study the effect of a stocastic gravitaional wave background on the two-point correlation function of the angular diameter distance fluctuations and, on the basis of this we also derive an expression for the power spectrum of the angular diameter distance fluctuations.

모델매칭 기법을 이용한 시스템 섭동을 갖는 비선형 크레인시스템 제어 (Control of Nonlinear Crane Systems with Perturbation using Model Matching Approach)

  • 조현철;이진우;이영진;이권순
    • 한국항해항만학회지
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    • 제31권6호
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    • pp.523-530
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    • 2007
  • 크레인 시스템은 항만 터미널 등의 산업현장에서 무거운 물체를 이송하는데 사용되는 장비로서 그 정확성과 신속성을 동시에 만족시키기 위한 연구가 활발히 진행되고 있다. 본 논문은 적응제어기의 일종인 모델매칭 기법을 이용하여 복잡한 3 자유도 비선형 크레인의 제어 시스템에 대한 연구를 제안한다. 피드백 선형화(feedback linearization)를 통해 비선형 크레인 모델을 선형화한 후 PD 제어기를 적용하여 선형 공칭 모텔을 구한다. 이 모델은 시스템 섭동을 갖는 실시간 시스템 모델과 함께, 리아푸노브(Lyapunov) 이론을 적용하여 실시간 섭동에 의해 발생되는 제어오차를 감소하기 위한 보조 제어규칙의 산출에 이용된다. 또한 리아푸노브 안정성이론을 적용하여 구성한 크레인 제어시스템의 안정성 해석을 실시한다. 컴퓨터 시뮬레이션을 통해 제안한 알고리즘의 타당성을 검증하며 기존의 제어방식과 비교 분석하여 그 우수성을 입증한다.

Nonlinear vibration analysis of an electrostatically excited micro cantilever beam coated by viscoelastic layer with the aim of finding the modified configuration

  • Poloei, E.;Zamanian, M.;Hosseini, S.A.A.
    • Structural Engineering and Mechanics
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    • 제61권2호
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    • pp.193-207
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    • 2017
  • In this study, the vibration of an electrostatically actuated micro cantilever beam is analyzed in which a viscoelastic layer covers a portion of the micro beam length. This proposed model is considered as the main element of mass and pollutant micro sensors. The nonlinear motion equation is extracted by means of Hamilton principle, considering nonlinear shortening effect for Euler-Bernoulli beam. The non-linear effects of electrostatic excitation, geometry and inertia have been taken into account. The viscoelastic model is assumed as Kelvin-Voigt model. The motion equation is discretized by Galerkin approach. The linear free vibration mode shapes of non-uniform micro beam i.e. the linear mode shape of the system by considering the geometric and inertia effects of viscoelastic layer, have been employed as comparison function in the process of the motion equation discretization. The discretized equation of motion is solved by the use of multiple scale method of perturbation theory and the results are compared with the results of numerical Runge-Kutta approach. The frequency response variations for different lengths and thicknesses of the viscoelastic layer have been founded. The results indicate that if a constant volume of viscoelastic layer is to be deposited on the micro beam for mass or gas sensor applications, then a modified configuration may be found by using the analysis of this paper.

BCCOMICS: Baryon-Cold dark matter COsMological Initial Condition generator for Small-scale structures

  • Ahn, Kyungjin
    • 천문학회보
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    • 제41권2호
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    • pp.35.3-36
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    • 2016
  • Density and velocity perturbations in scales most relevant for the first galaxy formation are strongly affected by large-scale density perturbations, velocity-divergence perturbations and the baryon-cold dark matter (CDM) streaming velocities. Even at redshifts as high as z~200, this mode-mode coupling imprints a significant impact on the small-scale perturbations, at the wavenumber k >${\sim}100Mpc^{-1}$, as was calculated in our recent work. This implies that cosmological initial conditions based on the usual linear theory is no longer valid in these scales. We present a new cosmological initial condition generator, BCCOMICS, which generates initial conditions for the cold dark matter (CDM) and baryons in scales most relevant for the first galaxy formation. BCCOMICS is based on the linear perturbation theory including the mode-mode coupling terms, and generates cosmological initial conditions for the SPH-basded code GADGET and the AMR-based code ENZO. We also present our preliminary result on the cosmic variance of the first galaxy formation, studied by using BCCOMICS.

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옵저버 이론의 원자로 지논 농도 최적제어에의 응용 (Observer Theory Applied to the Optimal Control of Xenon Concentration in a Nuclear Reactor)

  • Woo, Hae-Seuk;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제21권2호
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    • pp.99-110
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    • 1989
  • 원자로 지논 농도의 최적 제어는 Linear Quadratic Regulator Problem이다. 지논 농도와 아이오다인 농도는 측정할 수 없기 때문에 최적 제어를 수행하기 위해서는 측정할 수 없는 상태 변수를 예측하는 것이 필요하다. 본 연구에서 사용된 예측방법은 Luenberger Observer를 기초로 했다. 원자로 상태 방정식은 빠른 상태 방정식(중성자 속, 핵연료 및 냉각재 온도)과 느린 상태 방정식(아이오다인, 지논)의 상호작용에 의해 Stiffness 문제가 발생되는데 이러한 시스템을 "Singularly Perturbed System"이라 한다. Stiffness문제를 해결하기 위해서 원 시스템을 느린 시스템과 빠른 시스템의 두 개의 모드로 나누는 Singular Perturbation Method를 사용한다. 예측기Observer를 이용한 원 시스템의 제어기는 느린 시스템과 빠른 시스템에 대한 분리된 예측기와 제어기의 설계에 의해 결정되어진다. 특히 원자로 상태 방정식에서는 빠른 모드는 빨리 사라지게 되므로 단지 느린 시스템에 대해서만 예측기를 설계하면 된다. 컴퓨터시뮬레이션을 통한 시험 결과는 원자로의 지논 진동은 Singular Perturbation Method와 예측기를 이용해서 거의 정확하게 효과적으로 짧은 시간내에 제어할 수 있음을 알았다.수 있음을 알았다.

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A REVIEW ON THE MATHEMATICAL ASPECTS OF FLUID FLOW PROBLEMS IN AN INFINITE CHANNEL WITH ARBITRARY BOTTOM TOPOGRAPHY

  • Chakrabarti, A.;Martha, S.C.
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1583-1602
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    • 2011
  • A special system of partial differential equations (PDEs) occur in a natural way while studying a class of irrotational inviscid fluid flow problems involving infinite channels. Certain aspects of solutions of such PDEs are analyzed in the context of flow problems involving multiple layers of fluids of different constant densities in a channel associated with arbitrary bottom topography. The whole analysis is divided into two parts-part A and part B. In part A the linearized theory is employed along with the standard Fourier analysis to understand such flow problems and physical quantities of interest are derived analytically. In part B, the same set of problems handled in part A are examined in the light of a weakly non-linear theory involving perturbation in terms of a small parameter and it is shown that the original problems can be cast into KdV type of nonlinear PDEs involving the bottom topography occurring in one of the coefficients of these equations. Special cases of bottom topography are worked out in detail and expressions for quantities of physical importance are derived.

Design of A Robust Adaptive Controller for A Class of Uncertain Non-linear Systesms with Time-delay Input

  • Nguyen, Thi-Hong-Thanh;Cu, Xuan-Thinh;Nguyen, Thi-Minh-Huong;Ha, Thi-Hoan;Nguyen, Dac-Hai;Tran, Van-Truong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1955-1959
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    • 2005
  • This paper presents a systematic analysis and a simple design of a robust adaptive control law for a class of non linear systems with modeling errors and a time-delay input. The theory for designing a robust adaptive control law based on input- output feedback linearization of non linear systems with uncertainties and a time-delay in the manipulated input by the approach of parameterized state feedback control is presented. The main advantage of this method is that the parameterized state feedback control law can effectively suppress the effect of the most parts of nonlinearities, including system uncertainties and time-delay input in the pp-coupling perturbation form and the relative order of non linear systems is not limited.

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