• Title/Summary/Keyword: 비선형 최소 자승법

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A Numerical Model of Nonlinear Stream Function Wave Theory by the Least Squares Method (최소자승법을 사용한 유량함수 비선형 파랑이론의 수치모형)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.4
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    • pp.340-352
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    • 1994
  • A numerical model of nonlinear stream function wave theory evolved from Dean's model (1965) is presented. The stream function theory has been evaluated to be an accurate and useful tool for engineering applications. Effects of damping coefficient employed in a linearized simultaneous equation and number of points in the numerical integration of model on numerical solutions are assessed. Most accurate wave characteristics calculated by the present model are tabulated using revised Dean's Table (Chaplin, 1980) input parameters. Since the well-known feature of nearly breaking waves that with increasing wave steepness the wave length as well as integral properties have a maximum prior to the limiting wave height is represented by the model, the accuracy of model can be proved.

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Nonlinear Characteristics of Non-Fuzzy Inference Systems Based on HCM Clustering Algorithm (HCM 클러스터링 알고리즘 기반 비퍼지 추론 시스템의 비선형 특성)

  • Park, Keon-Jun;Lee, Dong-Yoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.11
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    • pp.5379-5388
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    • 2012
  • In fuzzy modeling for nonlinear process, the fuzzy rules are typically formed by selection of the input variables, the number of space division and membership functions. The Generation of fuzzy rules for nonlinear processes have the problem that the number of fuzzy rules exponentially increases. To solve this problem, complex nonlinear process can be modeled by generating the fuzzy rules by means of fuzzy division of input space. Therefore, in this paper, rules of non-fuzzy inference systems are generated by partitioning the input space in the scatter form using HCM clustering algorithm. The premise parameters of the rules are determined by membership matrix by means of HCM clustering algorithm. The consequence part of the rules is represented in the form of polynomial functions and the consequence parameters of each rule are identified by the standard least-squares method. And lastly, we evaluate the performance and the nonlinear characteristics using the data widely used in nonlinear process. Through this experiment, we showed that high-dimensional nonlinear systems can be modeled by a very small number of rules.

A Study on Semi-active Vibration Isolation Table using a Nonlinear Analysis of the MR Damper (MR 댐퍼의 비선형해석을 이용한 반능동형 제진대에 관한 연구)

  • Kim, DoYoung;Chun, ChongKeun;Kwon, YoungChul
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.11
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    • pp.861-867
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    • 2014
  • In this study, a semi-active isolator was constructed from applying a MR damper that used the MR fluid to an isolator. The parameter identification was also performed to determine the characteristics of this semi-active isolator during which the least squares method and the auxiliary variable method were applied to produce a value closest to the true value. In addition, the MR damper's nonlinear damping force was closely analyzed to greatly reduce the range of error. Based on this analysis, it was discovered that the parameter tended to increase with more electric current. Such analysis of the dynamic properties of semi-active isolator proved that constructing an isolator that provides a more stable operation could be achieved.

The Multi-layer Neural Network for Direct Control Method of Nonlinear System (비선형 시스템의 직접제어방식을 위한 다층 신경회로망)

  • 최광순;정성부;엄기환
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.6
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    • pp.99-108
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    • 1998
  • In this paper, we proposed a multi-layer neural network for direct control method of nonlinear system. The proposed control method uses neural network as the controller to learn inverse model of plant. The neural network used consists of two parts; one part is for identification of linear part, and the other is for identification of nonlinear part of inverse system. The neural network has to be learned the liner part with RLS algorithm and the nonlinear part with error of plant. From the simulation and experiment of tracking control to use one link manipulator as plant, we proved usefulness of the proposed control method to comparing to conventional direct neural network control method. By comparing the two methods, from simulation and experiment, we were convinced that the proposed control method is more simple and accuracy than the conventional method. Moreover, number of weight and bias to be controller parameter are small, and it has smaller steady state error than conventional method.

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Development of Inversion Analysis Framework to Determine Nonlinear Shear Moduli of Soils In Situ (현장시험을 통해 지반의 비선형 전단탄성계수를 산정하기 위한 역해석방법의 개발)

  • Ahn, Jae-Hun
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.3
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    • pp.87-93
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    • 2008
  • The large scale shaker can be employed to measure linear and nonlinear shear moduli of soils in situ as a function of shear strain. The method involves applying dynamic loads on a surface foundation measuring the dynamic response of the soil mass beneath the foundation with embedded instrumentation. This paper focuses on the development of a framework of the inverse analysis for the interpretation of test data to estimate linear and nonlinear shear moduli of soils along with the necessity of the inverse analysis. The suggested framework is based on the nonlinear least squares but it uses two iterative loops to account for the nonlinear behavior of soil that sensors are not located. The validity of the suggested inversion framework is tested through a series of numerical parametric studies. An example use of the suggested inversion framework is also shown. Because the field condition may affect the accuracy of suggested method, it is important to conduct a preliminary inverse analysis to quantify the discrepancy between the estimated modulus and the baseline.

A Study on the Recursive Identification of Modal Parameters (회귀적 방법에 의한 모우드 변수 규명에 관한 연구)

  • 고장욱;이재응
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.147-152
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    • 1995
  • 실험에 의한 모우드 해석 방법들은 1980년대부터 활발히 연구되어 많은 새로운 방법들이 개발되어 발표되었다. 그러나 개발된 대부분의 방법들은 측정된 데이타를 일괄처리하는 밸치(또는 off-line) 방법들이다. 최근에는 시간에 따라서 변하는 구조물의 동특성을 규명하는 분야에 모우드 해석 방법이 응용되어 사용되고 있다. 이러한 응용분야에서는 모우드 변수들의 변화되는 값을 새로운 데이타가 샘플링 될 때마다 그 값들을 수정하면서 추정할 수 있는 회귀적인(recursive 또는 on-line) 방법을 사용하여야 한다. Davies와 Hammond[1]는 회귀적 선형 자승법(Recursive Least Squares : RLS)을 이용하여 모우드 변수를 구하고 이를 벧치방법인 Instrumental Variable 방법과 Fourier 방법의 결과와 비교하였다. 그러나, 그 결과에서 보여준것처럼 RLS 방법은 잡음 대 시호비가 낮을 때에만 모우드 변수 값들을 정확하게 추정할 수 있었다. Sundararajan과 Montgomrey[2]는 회귀적 선형 최소자승 격자필터(lattice filter)를 이용하여 구조물의 차수(order)와 고유진동형, 그리고 진폭을 결정한 후 이를 토대로 회귀적 gradient형태의 방정식 오차 규명 방법(equation-error identification algorithm)에 의하여 모우드 변수들을 추정하였다. 이 방법은 2차원 격자구조물의 모우드 변수 추정에 사용되었으며, 또한 적응모우드제어에도 성공적으로 이용되었다. 그러나, 이 방법도 잡음 대 신호비가 낮은 환경에서만 사용할 수 있다는 단점이 있다. 위에서 언급한 방법들은 모두 RLS 방법을 기초로 하여 개발되었으나, RLS 방법은 전형적인 결정적(deterministic)방법으로서 잡음이 섞인 데이타를 처리하기에는 부적절한 방법임이 널리 알려진 사실이다[3]. 최근에 Ben Mrad와 Fassois[4]는 신호에 잡음이 존재하여도 이를 잘 처리할 수 있는 확률적(stochastic) 방법을 개발하여 기존의 결정적 방법들과 그 결과를 비교하였다. 그러나, 개발된 방법은 응답 신호에 백색잡음(white noise)이 섞이는 특수한 경우에만 사용할 수 있게 만들어져서 이 방법의 실질적인 적용에는 어려움이 있다. 본 연구에서는 기존의 방법들의 단점을 극복할 수 있는 새로운 회귀적 모우드 변수 규명 방법을 개발하였다. 이는 Fassois와 Lee가 ARMAX모델의 계수를 효율적으로 추정하기 위하여 개발한 뱉치방법인 Suboptimum Maximum Likelihood 방법[5]를 기초로 하여 개발하였다. 개발된 방법의 장점은 응답 신호에 유색잡음이 존재하여도 모우드 변수들을 항상 정확하게 구할 수 있으며, 또한 알고리즘의 안정성이 보장된 것이다.

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A Layer-by-Layer Learning Algorithm using Correlation Coefficient for Multilayer Perceptrons (상관 계수를 이용한 다층퍼셉트론의 계층별 학습)

  • Kwak, Young-Tae
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.8
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    • pp.39-47
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    • 2011
  • Ergezinger's method, one of the layer-by-layer algorithms used for multilyer perceptrons, consists of an output node and can make premature saturations in the output's weight because of using linear least squared method in the output layer. These saturations are obstacles to learning time and covergence. Therefore, this paper expands Ergezinger's method to be able to use an output vector instead of an output node and introduces a learning rate to improve learning time and convergence. The learning rate is a variable rate that reflects the correlation coefficient between new weight and previous weight while updating hidden's weight. To compare the proposed method with Ergezinger's method, we tested iris recognition and nonlinear approximation. It was found that the proposed method showed better results than Ergezinger's method in learning convergence. In the CPU time considering correlation coefficient computation, the proposed method saved about 35% time than the previous method.

The optimal parameter estimation of storage function model based on the dynamic effect (동적효과를 고려한 저류함수모형의 최적 매개변수 결정)

  • Kim Jong-Rae;Kim Joo-Cheal;Jeong Dong-Kook;Kim Jae-Han
    • Journal of Korea Water Resources Association
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    • v.39 no.7 s.168
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    • pp.593-603
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    • 2006
  • The basin response to storm is regarded as nonlinearity inherently. In addition, the consistent nonlinearity of hydrologic system response to rainfall has been very tough and cumbersome to be treated analytically. The thing is that such nonlinear models have been avoided because of computational difficulties in identifying the model parameters from recorded data. The parameters of nonlinear system considered as dynamic effects in the conceptual model are optimized as the sum of errors between the observed and computed runoff is minimized. For obtaining the optimal parameters of functions, the historical data for the Bocheong watershed in the Geum river basin were tested by applying the numerical methods, such as quasi-linearization technique, Runge-Kutta procedure, and pattern-search method. The estimated runoff carried through from the storage function with dynamic effects was compared with the one of 1st-order differential equation model expressing just nonlinearity, and also done with Nash model. It was found that the 2nd-order model yields a better prediction of the hydrograph from each storm than the 1st-order model. However, the 2nd-order model was shown to be equivalent to Nash model when it comes to results. As a result, the parameters of nonlinear 2nd-order differential equation model performed from the present study provided not only a considerable physical meaning but also a applicability to Korean watersheds.

Fuzzy Inference Systems Based on FCM Clustering Algorithm for Nonlinear Process (비선형 공정을 위한 FCM 클러스터링 알고리즘 기반 퍼지 추론 시스템)

  • Park, Keon-Jun;Kang, Hyung-Kil;Kim, Yong-Kab
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.5 no.4
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    • pp.224-231
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    • 2012
  • In this paper, we introduce a fuzzy inference systems based on fuzzy c-means clustering algorithm for fuzzy modeling of nonlinear process. Typically, the generation of fuzzy rules for nonlinear processes have the problem that the number of fuzzy rules exponentially increases. To solve this problem, the fuzzy rules of fuzzy model are generated by partitioning the input space in the scatter form using FCM clustering algorithm. The premise parameters of the fuzzy rules are determined by membership matrix by means of FCM clustering algorithm. The consequence part of the rules is expressed in the form of polynomial functions and the coefficient parameters of each rule are determined by the standard least-squares method. And lastly, we evaluate the performance and the nonlinear characteristics using the data widely used in nonlinear process.

High Efficient Lighting Monitoring by Modified Diffusion Model Including Marketing Variable (마케팅 의존 수정 확산 모형을 이용한 고효율 기기 보급 모니터링)

  • 김진오;최청훈
    • Journal of Energy Engineering
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    • v.9 no.4
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    • pp.372-378
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    • 2000
  • 확산 모형은 원래 연속적인 확산과정을 개발하기 위하여 도입되었으나, 기본적인 확산 모형은 많은 제약과 가정을 내포하고 있다. 본 논문은 잘못된 추정의 가능성을 줄이기 위해 많은 제약하에서 유용한 데이터가 별로 많지 않은 상태에서의 파라메터 추정을 시도하였으며, DSM 프로그램의 효과를 예측하기 위하여 피이드 백 방법과 비선형 최소자승법에 의한 파라메터를 추정하였다. 또한 DSM에 많은 영향을 끼치는 광고효과를 반영하기 위하여 본 연구에서는 마케팅 변수에 의존하는 수정된 확산모델을 이용하여 수요관리의 모니터링 시스템을 연구하였다. 본 논문에서는 고효율 조명기기에 의한 사례 연구를 통하여 DSM 효과에 의한 전력수요 변화를 추정하였으며, 우리나라 처럼 축적된 자료의 양이 적은 상황에서 초반 추정 오류의 가능성을 줄일 수 있는 방안을 제시하였다.

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