• Title/Summary/Keyword: radial basis function network (RBFN)

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Design of nonlinear system controller based on radial basis function network (Radial Basis 함수 회로망을 이용한 비선형 시스템 제어기의 설계에 관한 연구)

  • 박경훈;이양우;차득근
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1165-1168
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    • 1996
  • The neural network approach has been shown to be a general scheme for nonlinear dynamical system identification. Unfortunately the error surface of a Multilayer Neural Network(MNN) that widely used is often highly complex. This is a disadvantage and potential traps may exist in the identification procedure. The objective of this paper is to identify a nonlinear dynamical systems based on Radial Basis Function Networks(RBFN). The learning with RBFN is fast and precise. This paper discusses RBFN as identification procedure is based on a nonlinear dynamical systems. and A design method of model follow control system based on RBFN controller is developed. As a result of applying this method to inverted pendulum, the simulation has shown that RBFN can be used as identification and control of nonlinear dynamical systems effectively.

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An Adaptive Control Method of Robot Manipulators using RBFN (RBFN을 이용한 로봇 매니퓰레이터의 적응제어 방법)

  • 이민중;최영규;박진현
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.420-420
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    • 2000
  • In this paper, we propose an adaptive controller using RBFN(radial basis function network) for robot manipulators The structure of the proposed controller consists of a RBFN and VSC-1 ike control. RBFN is used in order to approximate かon system, and VSC-like control to guarantee robustness On the basis of the Lyapunov stability theorem, we guarantee the stability for the total system. And the learning law of RBFN is established by the Lyapunov method, Finally, we apply the proposed controller to tracking control for a 2 link SCARA type robot manipulator.

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A Robust Learning Algorithm for System Identification (외란을 포함한 학습 데이터에 강인한 시스템 모델링)

  • 한상현;윤중선
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.200-200
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    • 2000
  • Highly nonlinear dynamical systems are easily identified using neural networks. When disturbances are included in the learning data set Int system modeling, modeling process will be poorly performed. Since the radial basis functions in the radial basis function network(RBFN) are centered at the points specified by the weights, RBF networks are robust for approximating the process including the narrow-band disturbances deviating significantly from the regular signals. To exclude(filter) these disturbances, a robust algorithm for system identification, based on the RBFN, is proposed. The performance of system identification excluding disturbances is investigated and compared with the one including disturbances.

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Modeling of Electron Density Non-Uniformity by Using Radial Basis Function Network and Genetic Algorithm (레이디얼 베이시스 함수망과 유전자 알고리즘을 이용한 플라즈마 전자밀도 모델링)

  • Gim, Su-Yeon;Kim, Byung-Whan
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1799-1800
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    • 2007
  • Radial Basis Function Network (RBFN)을 이용하여 플라즈마 전자밀도를 모델링하였다. RBFN의 예측성능은 학습인자의 함수로 최적화하였다. 체계적인 모델링을 위해 통계적인 실험계획법이 적용되었으며, 실험은 반구형 유도 결합형 플라즈마 장비를 이용하여 수행이 되었다. 전자밀도 측정에는 Langmuir probe가 이용되었다. 최적화된 GA-RBFN모델을 일반 RBFN모델과 비교하였으며, 11%정도 모델의 예측성능을 향상시켰다.

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Step-Size Control for Width Adaptation in Radial Basis Function Networks for Nonlinear Channel Equalization

  • Kim, Nam-Yong
    • Journal of Communications and Networks
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    • v.12 no.6
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    • pp.600-604
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    • 2010
  • A method of width adaptation in the radial basis function network (RBFN) using stochastic gradient (SG) algorithm is introduced. Using Taylor's expansion of error signal and differentiating the error with respect to the step-size, the optimal time-varying step-size of the width in RBFN is derived. The proposed approach to adjusting widths in RBFN achieves superior learning speed and the steady-state mean square error (MSE) performance in nonlinear channel environment. The proposed method has shown enhanced steady-state MSE performance by more than 3 dB in both nonlinear channel environments. The results confirm that controlling over step-size of the width in RBFN by the proposed algorithm can be an effective approach to enhancement of convergence speed and the steady-state value of MSE.

Implementation of Elbow Method to improve the Gases Classification Performance based on the RBFN-NSG Algorithm

  • Jeon, Jin-Young;Choi, Jang-Sik;Byun, Hyung-Gi
    • Journal of Sensor Science and Technology
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    • v.25 no.6
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    • pp.431-434
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    • 2016
  • Currently, the radial basis function network (RBFN) and various other neural networks are employed to classify gases using chemical sensors arrays, and their performance is steadily improving. In particular, the identification performance of the RBFN algorithm is being improved by optimizing parameters such as the center, width, and weight, and improved algorithms such as the radial basis function network-stochastic gradient (RBFN-SG) and radial basis function network-normalized stochastic gradient (RBFN-NSG) have been announced. In this study, we optimized the number of centers, which is one of the parameters of the RBFN-NSG algorithm, and observed the change in the identification performance. For the experiment, repeated measurement data of 8 samples were used, and the elbow method was applied to determine the optimal number of centers for each sample of input data. The experiment was carried out in two cases(the only one center per sample and the optimal number of centers obtained by elbow method), and the experimental results were compared using the mean square error (MSE). From the results of the experiments, we observed that the case having an optimal number of centers, obtained using the elbow method, showed a better identification performance than that without any optimization.

Using radial basis function neural networks to model torsional strength of reinforced concrete beams

  • Tang, Chao-Wei
    • Computers and Concrete
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    • v.3 no.5
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    • pp.335-355
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    • 2006
  • The application of radial basis function neural networks (RBFN) to predict the ultimate torsional strength of reinforced concrete (RC) beams is explored in this study. A database on torsional failure of RC beams with rectangular section subjected to pure torsion was retrieved from past experiments in the literature; several RBFN models are sequentially built, trained and tested. Then the ultimate torsional strength of each beam is determined from the developed RBFN models. In addition, the predictions of the RBFN models are also compared with those obtained using the ACI 318 Code equations. The study shows that the RBFN models give reasonable predictions of the ultimate torsional strength of RC beams. Moreover, the results also show that the RBFN models provide better accuracy than the existing ACI 318 equations for torsion, both in terms of root-mean-square error and coefficients of determination.

Modeling of Plasma Etch Process using a Radial Basis Function Network (레이디얼 베이시스 함수망을 이용한 플라즈마 식각공정 모델링)

  • Park, Kyoungyoung;Kim, Byungwhan
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.18 no.1
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    • pp.1-5
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    • 2005
  • A new model of plasma etch process was constructed by using a radial basis function network (RBFN). This technique was applied to an etching of silicon carbide films in a NF$_3$ inductively coupled plasma. Experimental data to train RBFN were systematically collected by means of a 2$^4$ full factorial experiment. Appropriateness of prediction models was tested with test data consisted of 16 experiments not pertaining to the training data. Prediction performance was optimized with variations in three training factors, the number of pattern units, width of radial basis function, and initial weight distribution between the pattern and output layers. The etch responses to model were an etch rate and a surface roughness measured by atomic force microscopy. Optimized models had the root mean-squared errors of 26.1 nm/min and 0.103 nm for the etch rate and surface roughness, respectively. Compared to statistical regression models, RBFN models demonstrated an improvement of more than 20 % and 50 % for the etch rate and surface roughness, respectively. It is therefore expected that RBFN can be effectively used to construct prediction models of plasma processes.

Modeling of Electron Density Non-Uniformity by Using Radial Basis Function Network (레이디얼 베이시스 함수망을 이용한 플라즈마 전자밀도 균일도 모델링)

  • Kim, Ga-Young;Kim, Byung-Whan
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1938-1939
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    • 2007
  • Radial Basis Function Network (RBFN)을 이용하여 플라즈마 전자밀도를 모델링하였다. RBFN의 예측성능은 학습인자의 함수로 최적화하였다. 체계적인 모델링을 위해 통계적인 실험계획법이 적용되었으며, 실험은 반구형 유도결합형 플라즈마 장비를 이용하여 수행이 되었다. 전자밀도측정에는 Langmuir probe가 이용되었다. 최적화된 RBFN모델을 통계적인 회귀 모델과 비교하였으며, 59%정도 모델의 예측성능을 향상시켰다.

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Adaptive Neural Network Control for Robot Manipulators

  • Lee, Min-Jung;Choi, Young-Kiu
    • KIEE International Transaction on Systems and Control
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    • v.12D no.1
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    • pp.43-50
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    • 2002
  • In the recent years neural networks have fulfilled the promise of providing model-free learning controllers for nonlinear systems; however, it is very difficult to guarantee the stability and robustness of neural network control systems. This paper proposes an adaptive neural network control for robot manipulators based on the radial basis function netwo.k (RBFN). The RBFN is a branch of the neural networks and is mathematically tractable. So we adopt the RBFN to approximate nonlinear robot dynamics. The RBFN generates control input signals based on the Lyapunov stability that is often used in the conventional control schemes. The saturation function is also chosen as an auxiliary controller to guarantee the stability and robustness of the control system under the external disturbances and modeling uncertainties.

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