• 제목/요약/키워드: nonlinear estimation

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Analysis of quantitative high throughput screening data using a robust method for nonlinear mixed effects models

  • Park, Chorong;Lee, Jongga;Lim, Changwon
    • Communications for Statistical Applications and Methods
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    • 제27권6호
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    • pp.701-714
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    • 2020
  • Quantitative high throughput screening (qHTS) assays are used to assess toxicity for many chemicals in a short period by collectively analyzing them at several concentrations. Data are routinely analyzed using nonlinear regression models; however, we propose a new method to analyze qHTS data using a nonlinear mixed effects model. qHTS data are generated by repeating the same experiment several times for each chemical; therefor, they can be viewed as if they are repeated measures data and hence analyzed using a nonlinear mixed effects model which accounts for both intra- and inter-individual variabilities. Furthermore, we apply a one-step approach incorporating robust estimation methods to estimate fixed effect parameters and the variance-covariance structure since outliers or influential observations are not uncommon in qHTS data. The toxicity of chemicals from a qHTS assay is classified based on the significance of a parameter related to the efficacy of the chemicals using the proposed method. We evaluate the performance of the proposed method in terms of power and false discovery rate using simulation studies comparing with one existing method. The proposed method is illustrated using a dataset obtained from the National Toxicology Program.

신경회로망에 근거한 강건한 비선형 PLS (Robust nonlinear PLS based on neural networks)

  • 유준;홍선주;한종훈;장근수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1553-1556
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    • 1997
  • In the paper, we porpose a new mehtod of extending PLS(Partial Least Squares) regressiion method to nonlinear framework and apply it to the estimation of product compositions in high-purity distillation column. There have veen similar efforets to overcome drawbacks of PLS by using nonlinear-mapping ability of meural networks, however, they failed to show great improvement over PLS since they focused only in capturing nonlinear functional relationship between input data, not on nonlinear correlation inthe data set. By incorporating the structure of Robust Auto Associative Networks(RAAN) into that of previous nonlinear PLS, we can handle nonlinear correlation as well as nonlinear functional relationship. The application result shows that the proposed method performs better than previous ones even for nonlinearities caused by changing operating conditions, limited observations, and existence of meas-unrement noises.

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Evolution Strategies Based Particle Filters for Nonlinear State Estimation

  • Uosaki, Katsuji;Kimura, Yuuya;Hatanaka, Toshiharu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.559-564
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    • 2003
  • Recently, particle filters have attracted attentions for nonlinear state estimation. They evaluate a posterior probability distribution of the state variable based on observations in simulation using so-called importance sampling. However, degeneracy phenomena in the importance weights deteriorate the filter performance. A new filter, Evolution Strategies Based Particle Filter, is proposed to circumvent this difficulty and to improve the performance. Numerical simulation results illustrate the applicability of the proposed idea.

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신경망과 외란 추정 기법을 이용한 비선형 시스템의 적응 슬라이딩 모드 제어 (Adaptive Sliding Mode Control of Nonlinear Systems Using Neural Network and Disturbance Estimation Technique)

  • 이재영;박진배;최윤호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.1759-1760
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    • 2008
  • This paper proposes a neural network(NN)-based adaptive sliding mode controller for discrete-time nonlinear systems. By using disturbance estimation technique, a sliding mode controller is designed, which forces the sliding variable to be zero. Then, NN compensator with hidden-layer-to-output-layer weight update rule is combined with sliding mode controller in order to reduce the error of the estimates of both disturbances and nonlinear functions. The whole closed loop system rejects disturbances excellently and is proved to be ultimately uniformly bounded(UUB) provided that certain conditions for design parameters are satisfied.

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비선형 차체프레임구조물의 민감도해석 및 최적화 (Sensitivity Analysis and Optimization of Nonlinear Vehicle Frame Structures)

  • 원종진;이종선
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2833-2842
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    • 1996
  • This paper is to practice optimal rigidity design by the strain energy density estimation method for static buckling and sizing design sensitivity analysis for dynamic buckling of a nonlinear vehicle frame structure from those results. Using these sizing design sensitivity resutls, an optimization of a nonlinear vehicle frame structure with dynamic buckling constraint is carrried out with the graient projection method.

비선형최소분위추정량의 점근적 성질 (Asymptotic Properties of Regression Quanties Estimators in Nonlinear Models)

  • 최승회;김태수;박경옥
    • Journal of the Korean Data and Information Science Society
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    • 제11권2호
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    • pp.235-245
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    • 2000
  • 두 변수간의 함수관계를 연구하는 회귀분석에서 모수를 추정하기 위하여 가장 널리 사용되는 방법은 최소자승법이다. 그러나 최소자승법은 표본 평균처럼 약간의 이상치에도 민감하게 반응하여 강인성(robustness)을 만족하지 못함으로 새로운 추정량이 필요하다. 본 논문에서는 최소분위추정량과 최소분위추정량에 근거한 일차결합추정량의 점근적 성질을 연구하였다. 또한 최소자승추정량에 대해 제시된 추정량의 점근적 효율성을 구하고 모의실험을 통하여 최소분위추정량의 효율성을 조사하였다.

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Dynamic state estimation for identifying earthquake support motions in instrumented structures

  • Radhika, B.;Manohar, C.S.
    • Earthquakes and Structures
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    • 제5권3호
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    • pp.359-378
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    • 2013
  • The problem of identification of multi-component and (or) spatially varying earthquake support motions based on measured responses in instrumented structures is considered. The governing equations of motion are cast in the state space form and a time domain solution to the input identification problem is developed based on the Kalman and particle filtering methods. The method allows for noise in measured responses, imperfections in mathematical model for the structure, and possible nonlinear behavior of the structure. The unknown support motions are treated as hypothetical additional system states and a prior model for these motions are taken to be given in terms of white noise processes. For linear systems, the solution is developed within the Kalman filtering framework while, for nonlinear systems, the Monte Carlo simulation based particle filtering tools are employed. In the latter case, the question of controlling sampling variance based on the idea of Rao-Blackwellization is also explored. Illustrative examples include identification of multi-component and spatially varying support motions in linear/nonlinear structures.

근사화 오차 유계 추정을 이용한 비선형 시스템의 적응 퍼지 슬라이딩 모드 제어 (Adaptive Fuzzy Sliding Mode Control for Nonlinear Systems Using Estimation of Bounds for Approximation Errors)

  • 서삼준
    • 한국지능시스템학회논문지
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    • 제15권5호
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    • pp.527-532
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    • 2005
  • 본 논문에서 불확실한 근사화 오차 유계 추정을 이용한 불확실한 비선형 계통에 대한 적응 퍼지 슬라이딩 모드 제어기를 제안하였다. 계통 출력이 기준 출력을 추종하기 위해 시스템의 불확실성은 결론부 파라미터의 적응 알고리즘에 의해 온라인으로 조정되는 IF-THEN 규칙을 가지는 퍼지 시스템에 의해 근사화하였다. 또한 근사화 오차가 미지의 상수에 의해 유계된다는 가정 하에 리아프노프 합성법으로 근사화 오차 유계 추정 알고리즘을 제안하였다. 전체 제어 시스템은 제어기내의 모든 신호가 균등 유계이고 추종오차가 점근 안정함을 보장한다. 제안한 적응 퍼지 슬라이딩 모드 제어기의 성능을 도립진자 계통에 대한 컴퓨터 모의실험을 통해 입증하였다.

모델추정 기법을 이용한 터보제트엔진의 상태추정 (State Estimation of Turbojet Engine Using Nonlinear Model)

  • 김중회;김동춘;이상정
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2012년도 제38회 춘계학술대회논문집
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    • pp.268-272
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    • 2012
  • 비행체의 경우 운용 중에 센서 등의 고장이 발생하더라도 이를 극복하고 지속적으로 운용이 가능하게 설계하여야 한다. 이러한 비행체에는 중요 센서의 고장에 대비하여 대체 가능한 센서를 여분으로 장착하여 측정값에 대한 신뢰성을 확보하고 있다. 본 논문에서는 시뮬레이션을 통하여 적용 대상 터보제트엔진의 센서 측정값을 MIMO NARX 모델을 사용하여 센서 결함이 발생하더라도 상태추정을 통하여 대치 가능함을 보였고, HILS 장비에 적용할 수 있는 엔진 모델로 사용가능함을 보였다.

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Recent Review of Nonlinear Conditional Mean and Variance Modeling in Time Series

  • Hwang, S.Y.;Lee, J.A.
    • Journal of the Korean Data and Information Science Society
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    • 제15권4호
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    • pp.783-791
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    • 2004
  • In this paper we review recent developments in nonlinear time series modeling on both conditional mean and conditional variance. Traditional linear model in conditional mean is referred to as ARMA(autoregressive moving average) process investigated by Box and Jenkins(1976). Nonlinear mean models such as threshold, exponential and random coefficient models are reviewed and their characteristics are explained. In terms of conditional variances, ARCH(autoregressive conditional heteroscedasticity) class is considered as typical linear models. As nonlinear variants of ARCH, diverse nonlinear models appearing in recent literature including threshold ARCH, beta-ARCH and Box-Cox ARCH models are remarked. Also, a class of unified nonlinear models are considered and parameter estimation for that class is briefly discussed.

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