• Title/Summary/Keyword: 비선형최소자승법

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Sweep Nonlinearity Estimation for High Range Resolution Millimeter-Wave Seeker Using Least Squares Method (최소 자승법을 이용한 고해상도 밀리미터파 탐색기의 비선형 위상 오차의 추정)

  • Yang, Hee-Seong;Chun, Joo-Hwan;Song, Sung-Chan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.1
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    • pp.56-67
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    • 2012
  • In this thesis, to compensate the sweep nonlinearity occurring in the high resolution radar system using FMICW or FMCW, the method of the estimation of the nonlinearity is proposed. The nonlinear phase component caused by the nonlinear characteristic of the radar system is modelled as a linear combination of the sinusoidal functions consisting of various magnitudes and phases(systematic nonlinear phase error) and a random component(stochastic nonlinear phase error). From two IF signals that are measured respectively independently for two reference point targets lying in different distances which are known, a sparse linear equation is made and solved by least squares method to estimate the nonlinear phase component. The estimated component can be used for predistortion method to compensate the sweep nonlinearity.

A study on the global optimization in the design of a camera lens-system (사진 렌즈계 설계에서 전역 최적화에 관한 연구)

  • Jung, Jung-Bok;Jang, Jun-Kyu;Choi, Woon-Sang;Jung, Su-Ja
    • Journal of Korean Ophthalmic Optics Society
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    • v.6 no.2
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    • pp.121-127
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    • 2001
  • While SVD and Gaussian elimination method were applied to the additive damped least squares(DLS), the convergence and the stability of the optimization process were examined in a triplet-type camera lens-system where the condition number is well conditioned. DLS with SVD method generated a suitable merit function but this merit function may be trapped in a local minimum by the nonlinearity of error function. Therefore, the least camera lens-system was further designed by the global optimization method is grid method, and this method is adopted to get merit function that convergent to global minimum without local minimum trapping.

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Conjugate Gradient Least-Squares Algorithm for Three-Dimensional Magnetotelluric Inversion (3차원 MT 역산에서 CG 법의 효율적 적용)

  • Kim, Hee-Joon;Han, Nu-Ree;Choi, Ji-Hyang;Nam, Myung-Jin;Song, Yoon-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.2
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    • pp.147-153
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    • 2007
  • The conjugate gradient (CG) method is one of the most efficient algorithms for solving a linear system of equations. In addition to being used as a linear equation solver, it can be applied to a least-squares problem. When the CG method is applied to large-scale three-dimensional inversion of magnetotelluric data, two approaches have been pursued; one is the linear CG inversion in which each step of the Gauss-Newton iteration is incompletely solved using a truncated CG technique, and the other is referred to as the nonlinear CG inversion in which CG is directly applied to the minimization of objective functional for a nonlinear inverse problem. In each procedure we only need to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector, significantly reducing the computational requirements needed to do large-scale inversion.

A Study on Real Time Linear Simulation and Turbine Inlet Temperature Control of Aircraft Turbojet Engine (항공기용 터보제트 엔진의 실시간 선형모사와 터빈 입구온도 제어에 관한 연구)

  • 기자영;김석균;공창덕
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1996.11a
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    • pp.97-104
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    • 1996
  • DYGABCD 프로그램을 이용해 선형모델의 구성에 필요한 시스템 행렬을 구하고 최소자승법을 이용하여 실시간 선형모사를 행한 후 DYNGEN 프로그램을 이용한 비선형 모사와 비교하여 그 타당성을 입증하였다. 그리고 가제어성과 가안정성을 시험하여 시스템에 대해 제어기설계가 가능한지 확인하고 엔진의 성능과 직결되는 터빈입구 온도의 Overshoot 제어를 위해 고전적 제어기법인 PI제어기와 현대적 최적제어기법인 LQR 제어기를 설계하여 각각의 성능을 비교해 보았다.

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Study on the Development of Multi-Agents Position Tracking System Using Ultrasonic Transducers (초음파 센서를 이용한 다수의 이동형 개체 위치 추적시스템 개발에 관한 연구)

  • Choe, Jin-Hee;Choy, Ick;Cho, Whang
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.5
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    • pp.725-731
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    • 2013
  • In This paper, through simulation, proposes a system which makes it possible for freely moving multiple agents with ultrasonic receivers to estimate their own position by themselves using the ultrasonic signals sequentially emitted from multiple ultrasonic transmitters. This system possesses an advantage that there is no limit in the number of agents existing in the space covered by more than three transmitters fixed at proper locations. Hence, the proposed system can be utilized effectively in position tracking control of multiple robotic agents system and motion capturing system.

Identification and Control of Command Panoramic Sight System (조준경안정화시스템의 인식과 제어)

  • Kim, Dae-Woon;Cheon, Soon-Yong
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.3
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    • pp.14-21
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    • 2007
  • Sight Stabilization system is the control system to preserve Line of Sight for the targets though many nonlinear disturbances and vibrations are generated. In this paper, we identified Stabilization system using RLS algorithm, one of the system identification algorithm and found out the modeling of system. Considering nonlinear operational condition this paper proposes two Knowledge-base controllers - Fuzzy controller, Fuzzy PI Gain Scheduling controller, and simulates the performances of proposed controllers compare with Lead PI controller being used in Sight system of NFIV.

업종별 주가지수의 카오스 검정 및 비선형예측

  • Baek, Ung-Gi
    • The Korean Journal of Financial Management
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    • v.14 no.1
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    • pp.171-205
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    • 1997
  • '80년대 중반 들어 주가지수 예측모형으로 애용되던 시계열 예측모형에 대한 근본적인 의문이 제기되었다. 이것은 기존 예측모형이 선형 데이터 생성과정을 기본가정으로 채택하고 있지만 진정한 데이터 생성과정은 비선형일 수도 있다는 점에서 출발한다. 주가지수의 변동을 유발하는 경제의 기본구조가 비선형임에도 불구하고 이를 선형모형으로 접근한다면 주가의 움직임을 제대로 설명할 수 없을 뿐만 아니라 이러한 설정오류는 모형의 신뢰성을 크게 손상시킨다. 이와 같은 점에 착안하여 본 연구는 업종별 주가지수의 비선형 검정을 통해 주가가 어떠한 형태의 경제구조에서 생성되었는지 여러 가지 방법으로 정정한다. 10개 업종지수의 검정결과 보험업을 제외한 대부분의 업종지수가 카오스 끌개를 보유하고 있다는 증거가 포착되었다. 표본외 예측을 위해서 국지적 가중회귀법을 채택하였는데 예측결과 모형에 따라 $6{\sim}7$개 업종에서 통상최소자승법보다 예측력 우위를 보였다.

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Characteristics of Input-Output Spaces of Fuzzy Inference Systems by Means of Membership Functions and Performance Analyses (소속 함수에 의한 퍼지 추론 시스템의 입출력 공간 특성 및 성능 분석)

  • Park, Keon-Jun;Lee, Dong-Yoon
    • The Journal of the Korea Contents Association
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    • v.11 no.4
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    • pp.74-82
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    • 2011
  • To do fuzzy modelling of a nonlinear process needs to analyze the characteristics of input-output of fuzzy inference systems according to the division of entire input spaces and the fuzzy reasoning methods. For this, fuzzy model is expressed by identifying the structure and parameters of the system by means of input variables, fuzzy partition of input spaces, and consequence polynomial functions. In the premise part of the fuzzy rules Min-Max method using the minimum and maximum values of input data set and C-Means clustering algorithm forming input data into the clusters are used for identification of fuzzy model and membership functions are used as a series of triangular, gaussian-like, trapezoid-type membership functions. In the consequence part of the fuzzy rules fuzzy reasoning is conducted by two types of inferences such as simplified and linear inference. The identification of the consequence parameters, namely polynomial coefficients, of each rule are carried out by the standard least square method. And lastly, using gas furnace process which is widely used in nonlinear process we evaluate the performance and the system characteristics.

Analysis of a Tunnel-Diode Oscillator Circuit by Predictor-Corrector Method (프레딕터.코렉터방법에 의한 터널다이오드 발진회로의 해석)

  • 이정한;차균현
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.10 no.6
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    • pp.45-55
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    • 1973
  • This paper discusses the nonlinear time-invarient circuit composed of a tunnel diode. Prior to determine the solution of the nonlinear network which has negative resistance elements, the static characteristics of the nonlinear resistance elements need to be represented by function. Polynomial curve fitting is discussed to represent the static characteristies by least squares approximation. In order to solve the nonlinear network, the state equations for the networks are set up and solved by prediction corrector method. Finally, the limit cycle is plotted to discuss the stability of the nonlinear network and the oscillation condition.

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