• 제목/요약/키워드: nonlinear smoothing

검색결과 57건 처리시간 0.025초

슬라이딩 모드 제어기법을 이용한 도립진자 시스템 제어 (A Sliding Mode Control Scheme for Inverted Pendulum System)

  • 한상완;박민호
    • 한국산학기술학회논문지
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    • 제15권2호
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    • pp.1020-1026
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    • 2014
  • 슬라이딩모드 제어의 문제는 제어입력에 포함된 알려지지 않은 외란 등 비선형 입력으로 인한 채터링의 발생이다. 본 연구는 채터링 발생의 문제를 해결하기 위한 제어 알고리듬에 대하여 고찰하고 채터링을 억제하는 슬라이딩모드 제어기를 설계하고자 한다. 슬라이딩모드 제어 시 발생하는 채터링을 억제하기 위해 알려지지 않은 외란을 포함한 비선형 입력에 대하여 평활함수를 적용한다. 이 방법에 의하여 도립진자 시스템의 동적 방정식에 포함된 비선형 요소와 외란에 의한 문제가 해결될 수 있음을 보인다. 또 슬라이딩모드 제어를 위한 제어 입력을 시스템에 적용하였고, 제안한 제어기의 제어성능을 검증하기 위하여 도립진자를 대상으로 컴퓨터 모의실험을 수행하였다. 모의실험 결과 제어입력에 포함된 큰 폭의 채터링이 제거되었음을 확인할 수 있다.

Generalized nonlinear percentile regression using asymmetric maximum likelihood estimation

  • Lee, Juhee;Kim, Young Min
    • Communications for Statistical Applications and Methods
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    • 제28권6호
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    • pp.627-641
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    • 2021
  • An asymmetric least squares estimation method has been employed to estimate linear models for percentile regression. An asymmetric maximum likelihood estimation (AMLE) has been developed for the estimation of Poisson percentile linear models. In this study, we propose generalized nonlinear percentile regression using the AMLE, and the use of the parametric bootstrap method to obtain confidence intervals for the estimates of parameters of interest and smoothing functions of estimates. We consider three conditional distributions of response variables given covariates such as normal, exponential, and Poisson for three mean functions with one linear and two nonlinear models in the simulation studies. The proposed method provides reasonable estimates and confidence interval estimates of parameters, and comparable Monte Carlo asymptotic performance along with the sample size and quantiles. We illustrate applications of the proposed method using real-life data from chemical and radiation epidemiological studies.

낙하 충격 해석을 위한 명시법 과도응답의 가우스커널 평활화 기법 (Gaussian Kernel Smoothing of Explicit Transient Responses for Drop-Impact Analysis)

  • 박문식;강봉수
    • 대한기계학회논문집A
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    • 제35권3호
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    • pp.289-297
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    • 2011
  • 명시적 유한요소법은 비선형성이 많은 대형 문제를 푸는 데는 꼭 필요하지만 종종 그 결과의 해석에 있어서는 어려움이 수반된다. 특별한 경우, 가속도의 과도응답은 극심한 불연속, 과도한 노이즈 또는 앨리어싱이 발생하여 평가가 불가능할 때도 있다. 본 논문에서는 유한요소법의 명시적분에 의한 과도응답 및 응답스펙트럼의 새로운 후처리기법을 제안한다. 해석기에 의한 가속도 거동의 수치적인 에러를 제거하고 물리적인 가속도를 추출하기 위하여 가우스커널을 이용하는 평활화법을 제안하였다. 이 평활화는 신호처리 필터링 기법과 같이 복잡한 주파수에 대한 고려가 없이도 속도에 대한 결과와 응답스펙트럼을 참조함으로써 행해진다. 특히 가우스커널 평활화는 가속도의 피크 값을 잘 나타내면서도 평활도가 우수하였다. 제안된 평활화법에 의하여 부드러운 가속도는 물론 이를 이용하여 설계에서 필요한 층 응답스펙트럼을 구할 수 있다.

비선형 집단화와 완화기법을 이용한 VQ/HMM에 관한 연구 (A Study on VQ/HMM using Nonlinear Clustering and Smoothing Method)

  • 정희석;강철호
    • 한국음향학회지
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    • 제18권3호
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    • pp.35-42
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    • 1999
  • 본 논문에서는 이산적인 HMM(Hidden Markov Model)을 이용한 고립단어 인식 시스템에서 입력특징벡터의 변별력을 향상시키기 위해 수정된 집단화 알고리듬을 제안하므로써 K-means나 LBG 알고리듬을 이용한 기존의 HMM에 비해 2.16%의 인식율을 향상시켰다. 또한 HMM학습과정에서 불충분한 학습데이타로 인해 발생되는 인식율저하의 문제를 해소하기 위해 확률적으로 개선된 smoothing 기법을 제안하므로써 화자독립 실험에서 3.07%의 인식율을 향상시켰다. 본 논문에서 제안한 두 가지 알고리듬을 모두 적용하여 최종적으로 실험한 VQ/HMM에서는 기존의 방식에 비해 화자독립 인식실험 결과 평균 인식율이 4.66% 개선되었다.

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EMPIRICAL BAYES THRESHOLDING: ADAPTING TO SPARSITY WHEN IT ADVANTAGEOUS TO DO SO

  • Silverman Bernard W.
    • Journal of the Korean Statistical Society
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    • 제36권1호
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    • pp.1-29
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    • 2007
  • Suppose one is trying to estimate a high dimensional vector of parameters from a series of one observation per parameter. Often, it is possible to take advantage of sparsity in the parameters by thresholding the data in an appropriate way. A marginal maximum likelihood approach, within a suitable Bayesian structure, has excellent properties. For very sparse signals, the procedure chooses a large threshold and takes advantage of the sparsity, while for signals where there are many non-zero values, the method does not perform excessive smoothing. The scope of the method is reviewed and demonstrated, and various theoretical, practical and computational issues are discussed, in particularly exploring the wide potential and applicability of the general approach, and the way it can be used within more complex thresholding problems such as curve estimation using wavelets.

근전도에 기반한 근력 추정 (EMG-based Prediction of Muscle Forces)

  • 추준욱;홍정화;김신기;문무성;이진희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.1062-1065
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    • 2002
  • We have evaluated the ability of a time-delayed artificial neural network (TDANN) to predict muscle forces using only eletromyographic(EMG) signals. To achieve this goal, tendon forces and EMG signals were measured simultaneously in the gastrocnemius muscle of a dog while walking on a motor-driven treadmill. Direct measurements of tendon forces were performed using an implantable force transducer and EMG signals were recorded using surface electrodes. Under dynamic conditions, the relationship between muscle force and EMG signal is nonlinear and time-dependent. Thus, we adopted EMG amplitude estimation with adaptive smoothing window length. This approach improved the prediction ability of muscle force in the TDANN training. The experimental results indicated that dynamic tendon forces from EMG signals could be predicted using the TDANN, in vivo.

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Efficient estimation and variable selection for partially linear single-index-coefficient regression models

  • Kim, Young-Ju
    • Communications for Statistical Applications and Methods
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    • 제26권1호
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    • pp.69-78
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    • 2019
  • A structured model with both single-index and varying coefficients is a powerful tool in modeling high dimensional data. It has been widely used because the single-index can overcome the curse of dimensionality and varying coefficients can allow nonlinear interaction effects in the model. For high dimensional index vectors, variable selection becomes an important question in the model building process. In this paper, we propose an efficient estimation and a variable selection method based on a smoothing spline approach in a partially linear single-index-coefficient regression model. We also propose an efficient algorithm for simultaneously estimating the coefficient functions in a data-adaptive lower-dimensional approximation space and selecting significant variables in the index with the adaptive LASSO penalty. The empirical performance of the proposed method is illustrated with simulated and real data examples.

Wave propagation in a 3D fully nonlinear NWT based on MTF coupled with DZ method for the downstream boundary

  • Xu, G.;Hamouda, A.M.S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • 제4권2호
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    • pp.83-97
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    • 2014
  • Wave propagation in a three-dimensional (3D) fully nonlinear numerical wave tank (NWT) is studied based on velocity potential theory. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing algorithm, B-spline, is applied to eliminate the possible saw-tooth instabilities. The artificial wave speed employed in MTF (multi-transmitting formula) approach is investigated for fully nonlinear wave problem. The numerical results from incorporating the damping zone (DZ), MTF and MTF coupled DZ (MTF+DZ) methods as radiation condition are compared with analytical solution. An effective MTF+DZ method is finally adopted to simulate the 3D linear wave, second-order wave and irregular wave propagation. It is shown that the MTF+DZ method can be used for simulating fully nonlinear wave propagation very efficiently.

Numerical simulation of fully nonlinear sloshing waves in three-dimensional tank under random excitation

  • Xu, Gang;Hamouda, A.M.S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • 제1권4호
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    • pp.355-372
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    • 2011
  • Based on the fully nonlinear velocity potential theory, the liquid sloshing in a three dimensional tank under random excitation is studied. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing scheme, B-spline curve, is applied to both the longitudinal and transverse directions of the tank to eliminate the possible saw-tooth instabilities. When the tank is undergoing one dimensional regular motion of small amplitude, the calculated results are found to be in very good agreement with linear analytical solution. In the simulation, the normal standing waves, travelling waves and bores are observed. The extensive calculation has been made for the tank undergoing specified random oscillation. The nonlinear effect of random sloshing wave is studied and the effect of peak frequency used for the generation of random oscillation is investigated. It is found that, even as the peak value of spectrum for oscillation becomes smaller, the maximum wave elevation on the side wall becomes bigger when the peak frequency is closer to the natural frequency.

Identification of plastic deformations and parameters of nonlinear single-bay frames

  • Au, Francis T.K.;Yan, Z.H.
    • Smart Structures and Systems
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    • 제22권3호
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    • pp.315-326
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    • 2018
  • This paper presents a novel time-domain method for the identification of plastic rotations and stiffness parameters of single-bay frames with nonlinear plastic hinges. Each plastic hinge is modelled as a pseudo-semi-rigid connection with nonlinear hysteretic moment-curvature characteristics at an element end. Through the comparison of the identified end rotations of members that are connected together, the plastic rotation that furnishes information of the locations and plasticity degrees of plastic hinges can be identified. The force consideration of the frame members may be used to relate the stiffness parameters to the elastic rotations and the excitation. The damped-least-squares method and damped-and-weighted-least-squares method are adopted to estimate the stiffness parameters of frames. A noise-removal strategy employing a de-noising technique based on wavelet packets with a smoothing process is used to filter out the noise for the parameter estimation. The numerical examples show that the proposed method can identify the plastic rotations and the stiffness parameters using measurements with reasonable level of noise. The unknown excitation can also be estimated with acceptable accuracy. The advantages and disadvantages of both parameter estimation methods are discussed.