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Fetal ECG Extraction Based on Adaptive Linear Neural Network 被引量:1
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作者 JIA Wen-juan YANG Chun-lan ZHONG Guo-cheng ZHOU Meng-ying WU Shui-cai 《Chinese Journal of Biomedical Engineering(English Edition)》 2011年第2期75-82,共8页
Fetal ECG extraction has the vital significance for fetal monitoring.This paper introduces a method of extracting fetal ECG based on adaptive linear neural network.The method can be realized by training a small quanti... Fetal ECG extraction has the vital significance for fetal monitoring.This paper introduces a method of extracting fetal ECG based on adaptive linear neural network.The method can be realized by training a small quantity of data.In addition,a better result can be achieved by improving neural network structure.Thus,more easily identified fetal ECG can be extracted.Experimental results show that the adaptive linear neural network can be used to extract fetal ECG from maternal abdominal signal effectively.What's more,a clearer fetal ECG can be extracted by improving neural network structure. 展开更多
关键词 fetal ECG adaptive linear neural network W-H learning rule
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Parametric Stabilization of the Ring and Linear Neural Network with Two Delays
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作者 Dongxia Zhao Dongxia Fan Yaping Guo 《Journal of Applied Mathematics and Physics》 2021年第7期1468-1482,共15页
This paper is devoted to the problem of stabilizing a Hopfield-type neural network with bi-directional ring architecture and two delays. The delay-independent and delay-dependent stability conditions are explicitly pr... This paper is devoted to the problem of stabilizing a Hopfield-type neural network with bi-directional ring architecture and two delays. The delay-independent and delay-dependent stability conditions are explicitly presented by the method of the characteristic roots and the skill of mathematical analysis. Moreover, if a link between the adjacent two neurons is cut, the ring neural network turns to a linear one, and the stability results are also established. Furthermore, a comparative analysis for the ring and linear network shows that the stability domain is enlarged after the breaking. 展开更多
关键词 neural network Time Delay Exponential Polynomial linear and Ring neural Configuration Stability
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Neural Network Based Feedback Linearization Control of an Unmanned Aerial Vehicle 被引量:3
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作者 Dan Necsulescu Yi-Wu Jiang Bumsoo Kim 《International Journal of Automation and computing》 EI 2007年第1期71-79,共9页
This paper presents a flight control design for an unmanned aerial vehicle (UAV) using a nonlinear autoregressive moving average (NARMA-L2) neural network based feedback linearization and output redefinition techn... This paper presents a flight control design for an unmanned aerial vehicle (UAV) using a nonlinear autoregressive moving average (NARMA-L2) neural network based feedback linearization and output redefinition technique. The UAV investigated is non- minimum phase. The output redefinition technique is used in such a way that the resulting system to be inverted is a minimum phase system. The NARMA-L2 neural network is trained off-line for forward dynamics of the UAV model with redefined output and is then inverted to force the real output to approximately track a command input. Simulation results show that the proposed approaches have good performance. 展开更多
关键词 Nonlinear unmanned aerial vehicle (UAV) flight control non-minimum phase output redefinition neural network basedfeedback linearization.
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Bit-stream linear artificial neural networks based on Sigma-delta modulation 被引量:2
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作者 梁勇 Wang Zhigong +1 位作者 Meng Qiao Guo Xiaodan 《High Technology Letters》 EI CAS 2012年第2期120-123,共4页
To solve the excessive huge scale problem of the traditional multi-bit digital artificial neural networks (ANN) hardware implementation methods, a bit-stream ANN construction method based on direct sigma-delta (Z-A... To solve the excessive huge scale problem of the traditional multi-bit digital artificial neural networks (ANN) hardware implementation methods, a bit-stream ANN construction method based on direct sigma-delta (Z-A) signal processing is presented. The bit-stream adder, multiplier and fully digital X-A modulator used in the bit-stream linear ANN are implemented in a field programmable gate array (FPGA). A bit-stream linear ANN based on these bit-stream modules is presented and implemented. To verify the function and performance of the bit-stream linear ANN, the bit-stream adaptive predictor and the bit-stream adaptive noise cancellation system are presented. The predicted result of the bit-stream adaptive predictor is very close to the desired signal. Also, the bit-stream adaptive noise cancellation system removes the electric power noise effectively. 展开更多
关键词 bit-stream artificial neuron SIGMA-DELTA linear artificial neural networks field programmablegate array (FPGA)
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Design of performance robustness for uncertain nonlinear time-delay systems via neural network 被引量:2
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作者 Luan Xiaoli Liu Fei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第4期852-857,884,共7页
Performance robustness problems via the state feedback controller are investigated for a class of uncertain nonlinear systems with time-delay in both state and control, in which the neural networks are used to model t... Performance robustness problems via the state feedback controller are investigated for a class of uncertain nonlinear systems with time-delay in both state and control, in which the neural networks are used to model the nonlinearities. By using an appropriate uncertainty description and the linear difference inclusion technique, sufficient conditions for existence of such controller are derived based on the linear matrix inequalities (LMIs). Using solutions of LMIs, a state feedback control law is proposed to stabilize the perturbed system and guarantee an upper bound of system performance, which is applicable to arbitrary time-delays. 展开更多
关键词 nonlinear system TIME-DELAY UNCERTAINTIES neural network linear matrix inequality
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Linearization Learning Method of BP Neural Networks 被引量:4
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作者 Zhou Shaoqian Ding Lixin +1 位作者 Zhang Jian Tang Xinhua 《Wuhan University Journal of Natural Sciences》 CAS 1997年第1期37-41,共5页
Feedforward multi layer neural networks have very strong mapping capability that is based on the non linearity of the activation function, however, the non linearity of the activation function can cause the multiple ... Feedforward multi layer neural networks have very strong mapping capability that is based on the non linearity of the activation function, however, the non linearity of the activation function can cause the multiple local minima on the learning error surfaces, which affect the learning rate and solving optimal weights. This paper proposes a learning method linearizing non linearity of the activation function and discusses its merits and demerits theoretically. 展开更多
关键词 BP neural networks activation function linearization method
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Trajectory linearization control of an aerospace vehicle based on RBF neural network 被引量:6
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作者 Xue Yali Jiang Changsheng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第4期799-805,共7页
An enhanced trajectory linearization control (TLC) structure based on radial basis function neural network (RBFNN) and its application on an aerospace vehicle (ASV) flight control system are presensted. The infl... An enhanced trajectory linearization control (TLC) structure based on radial basis function neural network (RBFNN) and its application on an aerospace vehicle (ASV) flight control system are presensted. The influence of unknown disturbances and uncertainties is reduced by RBFNN thanks to its approaching ability, and a robustifying itera is used to overcome the approximate error of RBFNN. The parameters adaptive adjusting laws are designed on the Lyapunov theory. The uniform ultimate boundedness of all signals of the composite closed-loop system is proved based on Lyapunov theory. Finally, the flight control system of an ASV is designed based on the proposed method. Simulation results demonstrate the effectiveness and robustness of the designed approach. 展开更多
关键词 adaptive control trajectory linearization control radial basis function neural network aerospace vehicle.
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Prediction of kiwifruit firmness using fruit mineral nutrient concentration by artificial neural network(ANN) and multiple linear regressions(MLR) 被引量:8
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作者 Ali Mohammadi Torkashvand Abbas Ahmadi Niloofar Layegh Nikravesh 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2017年第7期1634-1644,共11页
Many properties of fruit are influenced by plant nutrition. Fruit firmness is one of the most important fruit characteristics and determines post-harvest life of the fruit, in recent decades, artificial intelligence s... Many properties of fruit are influenced by plant nutrition. Fruit firmness is one of the most important fruit characteristics and determines post-harvest life of the fruit, in recent decades, artificial intelligence systems were employed for developing predictive models to estimate and predict many agriculture processes. In the present study, the predictive capabilities of multiple linear regressions (MLR) and artificial neural networks (ANNs) are evaluated to estimate fruit firmness in six months, including each of nutrients concentrations (nitrogen (N), potassium (K), calcium (Ca) and magnesium (Mg)) alone (P1), com- bination of nutrients concentrations (P2), nutrient concentration ratios alone (P3), and combination of nutrient concentrations and nutrient concentration ratios (P4). The results showed that MLR model estimated fruit firmness more accuracy than ANN model in three datasets (P1, P2 and P4). However, the application of P3 (N/Ca ratio) as the input dataset in ANN model improved the prediction of fruit firmness than the MLR model. Correlation coefficient and root mean squared error (RMSE) were 0.850 and 0.539 between the measured and the estimated data by the ANN model, respectively. Generally, the ANN model showed greater potential in determining the relationship between 6-mon-fruit firmness and nutrients concentration. 展开更多
关键词 artificial neural network FIRMNESS FRUIT KIWI multiple linear regression NUTRIENT
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Linear matrix inequality approach to exponential synchronization of a class of chaotic neural networks with time-varying delays 被引量:1
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作者 吴炜 崔宝同 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第7期1889-1896,共8页
In this paper, a synchronization scheme for a class of chaotic neural networks with time-varying delays is presented. This class of chaotic neural networks covers several well-known neural networks, such as Hopfield n... In this paper, a synchronization scheme for a class of chaotic neural networks with time-varying delays is presented. This class of chaotic neural networks covers several well-known neural networks, such as Hopfield neural networks, cellular neural networks, and bidirectional associative memory networks. The obtained criteria are expressed in terms of linear matrix inequalities, thus they can be efficiently verified. A comparison between our results and the previous results shows that our results are less restrictive. 展开更多
关键词 chaotic neural networks exponential synchronization linear matrix inequalities
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Hole Cleaning Prediction in Foam Drilling Using Artificial Neural Network and Multiple Linear Regression 被引量:3
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作者 Reza Rooki Faramarz Doulati Ardejani Ali Moradzadeh 《Geomaterials》 2014年第1期47-53,共7页
Foam drilling is increasingly used to develop low pressure reservoirs or highly depleted mature reservoirs because of minimizing the formation damage and potential hazardous drilling problems. Prediction of the cuttin... Foam drilling is increasingly used to develop low pressure reservoirs or highly depleted mature reservoirs because of minimizing the formation damage and potential hazardous drilling problems. Prediction of the cuttings concentration in the wellbore annulus as a function of operational drilling parameters such as wellbore geometry, pumping rate, drilling fluid rheology and density and maximum drilling rate is very important for optimizing these parameters. This paper describes a simple and more reliable artificial neural network (ANN) method and multiple linear regression (MLR) to predict cuttings concentration during foam drilling operation. This model is applicable for various borehole conditions using some critical parameters associated with foam velocity, foam quality, hole geometry, subsurface condition (pressure and temperature) and pipe rotation. The average absolute percent relative error (AAPE) between the experimental cuttings concentration and ANN model is less than 6%, and using MLR, AAPE is less than 9%. A comparison of the ANN and mechanistic model was done. The AAPE values for all datasets in this study were 3.2%, 8.5% and 10.3% for ANN model, MLR model and mechanistic model respectively. The results show high ability of ANN in prediction with respect to statistical methods. 展开更多
关键词 Foam DRILLING HOLE CLEANING Artificial neural network Multiple linear Regression
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FORCE RIPPLE SUPPRESSION TECHNOLOGY FOR LINEAR MOTORS BASED ON BACK PROPAGATION NEURAL NETWORK 被引量:7
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作者 ZHANG Dailin CHEN Youping +2 位作者 AI Wu ZHOU Zude KONG Ching Tom 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第2期13-16,共4页
Various force disturbances influence the thrust force of linear motors when a linear motor (LM) is running. Among all of force disturbances, the force ripple is the dominant while a linear motor runs in low speed. I... Various force disturbances influence the thrust force of linear motors when a linear motor (LM) is running. Among all of force disturbances, the force ripple is the dominant while a linear motor runs in low speed. In order to suppress the force ripple, back propagation(BP) neural network is proposed to learn the function of the force ripple of linear motors, and the acquisition method of training samples is proposed based on a disturbance observer. An off-line BP neural network is used mainly because of its high running efficiency and the real-time requirement of the servo control system of a linear motor. By using the function, the force ripple is on-line compensated according to the position of the LM. The experimental results show that the force ripple is effectively suppressed by the compensation of the BP neural network. 展开更多
关键词 linear motor (LM) Back propagation(BP) algorithm neural network Anti-disturbance technology
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Time-delay Positive Feedback Control for Nonlinear Time-delay Systems with Neural Network Compensation 被引量:2
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作者 NA Jing REN Xue-Mei HUANG Hong 《自动化学报》 EI CSCD 北大核心 2008年第9期1196-1202,共7页
新适应时间延期积极反馈控制器(ATPFC ) 为非线性的时间延期系统的一个班被介绍。建议控制计划由神经基于网络的鉴定和时间延期组成积极反馈控制器。与一个特殊动态鉴定模型一起合并的二个高顺序的神经网络(HONN ) 被采用识别非线性的... 新适应时间延期积极反馈控制器(ATPFC ) 为非线性的时间延期系统的一个班被介绍。建议控制计划由神经基于网络的鉴定和时间延期组成积极反馈控制器。与一个特殊动态鉴定模型一起合并的二个高顺序的神经网络(HONN ) 被采用识别非线性的系统。基于识别模型,本地 linearization 赔偿被用来处理系统的未知非线性。线性化的系统的一个 time-delay-free 逆模型和一个需要的引用模型被利用组成反馈控制器,它能导致系统输出追踪一个引用模型的轨道。为鉴定和靠近环的控制系统的追踪的错误的严密稳定性分析借助于 Lyapunov 稳定性标准被提供。模拟结果被包括表明建议计划的有效性。 展开更多
关键词 正反馈 控制系统 自动化系统 人工神经网络
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Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays
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作者 P.Balasubramaniam M.Kalpana R.Rakkiyappan 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第4期586-596,共11页
Fuzzy cellular neural networks (FCNNs) are special kinds of cellular neural networks (CNNs). Each cell in an FCNN contains fuzzy operating abilities. The entire network is governed by cellular computing laws. The ... Fuzzy cellular neural networks (FCNNs) are special kinds of cellular neural networks (CNNs). Each cell in an FCNN contains fuzzy operating abilities. The entire network is governed by cellular computing laws. The design of FCNNs is based on fuzzy local rules. In this paper, a linear matrix inequality (LMI) approach for synchronization control of FCNNs with mixed delays is investigated. Mixed delays include discrete time-varying delays and unbounded distributed delays. A dynamic control scheme is proposed to achieve the synchronization between a drive network and a response network. By constructing the Lyapunov-Krasovskii functional which contains a triple-integral term and the free-weighting matrices method an improved delay-dependent stability criterion is derived in terms of LMIs. The controller can be easily obtained by solving the derived LMIs. A numerical example and its simulations are presented to illustrate the effectiveness of the proposed method. 展开更多
关键词 asymptotic stability CHAOS fuzzy cellular neural networks linear matrix inequalities SYNCHRONIZATION
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Neural network-based H∞ filtering for nonlinear systems with time-delays
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作者 Luan Xiaoli Liu Fei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第1期141-147,共7页
A novel H∞ design methodology for a neural network-based nonlinear filtering scheme is addressed. Firstly, neural networks are employed to approximate the nonlinearities. Next, the nonlinear dynamic system is represe... A novel H∞ design methodology for a neural network-based nonlinear filtering scheme is addressed. Firstly, neural networks are employed to approximate the nonlinearities. Next, the nonlinear dynamic system is represented by the mode-dependent linear difference inclusion (LDI). Finally, based on the LDI model, a neural network-based nonlinear filter (NNBNF) is developed to minimize the upper bound of H∞ gain index of the estimation error under some linear matrix inequality (LMI) constraints. Compared with the existing nonlinear filters, NNBNF is time-invariant and numerically tractable. The validity and applicability of the proposed approach are successfully demonstrated in an illustrative example. 展开更多
关键词 H∞ filtering nonlinear system TIME-DELAY neural network linear matrix inequality
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Prediction of Anti-Inflammatory Activity of a Series of Pyrimidine Derivatives, by Multiple Linear Regression and Artificial Neural Networks
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作者 Yafigui Traoré Jean Missa Ehouman +2 位作者 Mamadou Guy-Richard Koné Donourou Diabaté Nahossé Ziao 《Computational Chemistry》 CAS 2022年第4期186-202,共17页
Anti-inflammatory activity of a series of tri-substituted pyrimidine derivatives was predicted using two Quantitative Structure-Activity Relationship models. These relationships were developed from molecular descripto... Anti-inflammatory activity of a series of tri-substituted pyrimidine derivatives was predicted using two Quantitative Structure-Activity Relationship models. These relationships were developed from molecular descriptors calculated using the DFT quantum chemistry method using the B3LYP/6-31G(d,p) level of theory and molecular lipophilicity. Thus, the four descriptors which are the dipole moment μ<sub>D</sub>, the energy of the highest occupied molecular orbital E<sub>HOMO</sub>, the isotropic polarizability α and the ACD/logP lipophilicity were selected for this purpose. The Multiple Linear Regression (MLR) and Artificial Neural Network (ANN) models are respectively accredited with the following statistical indicators: R<sup>2</sup>=91.28%, R<sup>2</sup><sub>aj</sub>=89.11%, RMCE = 0.2831, R<sup>2</sup><sub>ext</sub>=86.50% and R<sup>2</sup>=98.22%, R<sup>2</sup><sub>aj</sub>=97.75%, RMCE = 0.1131, R<sup>2</sup><sub>ext</sub>=98.54%. The results obtained with the artificial neural network are better than those of the multiple linear regression. However, these results show that the two models developed have very good predictive performance of anti-inflammatory activity. These two models can therefore be used to predict anti-inflammatory activity of new similar pyrimidine derivatives. 展开更多
关键词 Anti-Inflammatory Activity Multiple linear Regression Artificial neural network QSAR
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Linear matrix inequality approach for robust stability analysis for stochastic neural networks with time-varying delay
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作者 S.Lakshmanan P.Balasubramaniam 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第4期16-26,共11页
This paper studies the problem of linear matrix inequality (LMI) approach to robust stability analysis for stochastic neural networks with a time-varying delay. By developing a delay decomposition approach, the info... This paper studies the problem of linear matrix inequality (LMI) approach to robust stability analysis for stochastic neural networks with a time-varying delay. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, new delay-dependent stability criteria are obtained in terms of LMIs. The proposed results prove the less conservatism, which are realized by choosing new Lyapunov matrices in the decomposed integral intervals. Finally, numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed LMI method. 展开更多
关键词 delay-dependent stability linear matrix inequality Lyapunov-Krasovskii functional stochastic neural networks
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Nonlinear H_∞ control of structured uncertain stochastic neural networks with discrete and distributed time varying delays
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作者 陈狄岚 张卫东 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第4期1506-1512,共7页
This paper is concerned with the problem of robust H∞ control for structured uncertain stochastic neural networks with both discrete and distributed time varying delays. A sufficient condition is presented for the ex... This paper is concerned with the problem of robust H∞ control for structured uncertain stochastic neural networks with both discrete and distributed time varying delays. A sufficient condition is presented for the existence of H∞ control based on the Lyapunov stability theory. The stability criterion is described in terms of linear matrix inequalities (LMIs), which can be easily checked in practice. An example is provided to demonstrate the effectiveness of the proposed result. 展开更多
关键词 delayed neural networks (DNNs) stochastic systems Lyapunov functional linear matrix inequality
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Robust Sliding Mode Control for Nonlinear Discrete-Time Delayed Systems Based on Neural Network 被引量:4
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作者 Vishal Goyal Vinay Kumar Deolia Tripti Nath Sharma 《Intelligent Control and Automation》 2015年第1期75-83,共9页
This paper presents a robust sliding mode controller for a class of unknown nonlinear discrete-time systems in the presence of fixed time delay. A neural-network approximation and the Lyapunov-Krasovskii functional th... This paper presents a robust sliding mode controller for a class of unknown nonlinear discrete-time systems in the presence of fixed time delay. A neural-network approximation and the Lyapunov-Krasovskii functional theory into the sliding-mode technique is used and a neural-network based sliding mode control scheme is proposed. Because of the novality of Chebyshev Neural Networks (CNNs), that it requires much less computation time as compare to multi layer neural network (MLNN), is preferred to approximate the unknown system functions. By means of linear matrix inequalities, a sufficient condition is derived to ensure the asymptotic stability such that the sliding mode dynamics is restricted to the defined sliding surface. The proposed sliding mode control technique guarantees the system state trajectory to the designed sliding surface. Finally, simulation results illustrate the main characteristics and performance of the proposed approach. 展开更多
关键词 DISCRETE-TIME NONlinear Systems LYAPUNOV-KRASOVSKII Functional linear Matrix Inequality (LMI) Sliding Mode CONTROL (SMC) CHEBYSHEV neural networks (CNNs)
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GA-BASED PID NEURAL NETWORK CONTROL FOR MAGNETIC BEARING SYSTEMS 被引量:2
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作者 LI Guodong ZHANG Qingchun LIANG Yingchun 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第2期56-59,共4页
In order to overcome the system non-linearity and uncertainty inherent in magnetic bearing systems, a GA(genetic algnrithm)-based PID neural network controller is designed and trained tO emulate the operation of a c... In order to overcome the system non-linearity and uncertainty inherent in magnetic bearing systems, a GA(genetic algnrithm)-based PID neural network controller is designed and trained tO emulate the operation of a complete system (magnetic bearing, controller, and power amplifiers). The feasibility of using a neural network to control nonlinear magnetic bearing systems with unknown dynamics is demonstrated. The key concept of the control scheme is to use GA to evaluate the candidate solutions (chromosomes), increase the generalization ability of PID neural network and avoid suffering from the local minima problem in network learning due to the use of gradient descent learning method. The simulation results show that the proposed architecture provides well robust performance and better reinforcement learning capability in controlling magnetic bearing systems. 展开更多
关键词 Magnetic bearing Non-linearity PID neural network Genetic algorithm Local minima Robust performance
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Artificial neural network models predicting the leaf area index:a case study in pure even-aged Crimean pine forests from Turkey 被引量:4
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作者 ilker Ercanli Alkan Gunlu +1 位作者 Muammer Senyurt Sedat Keles 《Forest Ecosystems》 SCIE CSCD 2018年第4期400-411,共12页
Background: Leaf Area Index(LAI) is an important parameter used in monitoring and modeling of forest ecosystems. The aim of this study was to evaluate performance of the artificial neural network(ANN) models to predic... Background: Leaf Area Index(LAI) is an important parameter used in monitoring and modeling of forest ecosystems. The aim of this study was to evaluate performance of the artificial neural network(ANN) models to predict the LAI by comparing the regression analysis models as the classical method in these pure and even-aged Crimean pine forest stands.Methods: One hundred eight temporary sample plots were collected from Crimean pine forest stands to estimate stand parameters. Each sample plot was imaged with hemispherical photographs to detect the LAI. The partial correlation analysis was used to assess the relationships between the stand LAI values and stand parameters, and the multivariate linear regression analysis was used to predict the LAI from stand parameters. Different artificial neural network models comprising different number of neuron and transfer functions were trained and used to predict the LAI of forest stands.Results: The correlation coefficients between LAI and stand parameters(stand number of trees, basal area, the quadratic mean diameter, stand density and stand age) were significant at the level of 0.01. The stand age, number of trees, site index, and basal area were independent parameters in the most successful regression model predicted LAI values using stand parameters(R_(adj)~2=0.5431). As corresponding method to predict the interactions between the stand LAI values and stand parameters, the neural network architecture based on the RBF 4-19-1 with Gaussian activation function in hidden layer and the identity activation function in output layer performed better in predicting LAI(SSE(12.1040), MSE(0.1223), RMSE(0.3497), AIC(0.1040), BIC(-77.7310) and R^2(0.6392)) compared to the other studied techniques.Conclusion: The ANN outperformed the multivariate regression techniques in predicting LAI from stand parameters. The ANN models, developed in this study, may aid in making forest management planning in study forest stands. 展开更多
关键词 Leaf area index Multivariate linear regression model Artificial neural network modeling Crimean pine Stand parameters
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