Improving the neural network mathematical model of corporate bankruptcy

Author(s):  
Dmitrii V. Polupanov ◽  
Svetlana R. Abdiusheva ◽  
Vsevolod V. Gallyamov
Author(s):  
Chenyu Zhou ◽  
Liangyao Yu ◽  
Yong Li ◽  
Jian Song

Accurate estimation of sideslip angle is essential for vehicle stability control. For commercial vehicles, the estimation of sideslip angle is challenging due to severe load transfer and tire nonlinearity. This paper presents a robust sideslip angle observer of commercial vehicles based on identification of tire cornering stiffness. Since tire cornering stiffness of commercial vehicles is greatly affected by tire force and road adhesion coefficient, it cannot be treated as a constant. To estimate the cornering stiffness in real time, the neural network model constructed by Levenberg-Marquardt backpropagation (LMBP) algorithm is employed. LMBP is a fast convergent supervised learning algorithm, which combines the steepest descent method and gauss-newton method, and is widely used in system parameter estimation. LMBP does not rely on the mathematical model of the actual system when building the neural network. Therefore, when the mathematical model is difficult to establish, LMBP can play a very good role. Considering the complexity of tire modeling, this study adopted LMBP algorithm to estimate tire cornering stiffness, which have simplified the tire model and improved the estimation accuracy. Combined with neural network, A time-varying Kalman filter (TVKF) is designed to observe the sideslip angle of commercial vehicles. To validate the feasibility of the proposed estimation algorithm, multiple driving maneuvers under different road surface friction have been carried out. The test results show that the proposed method has better accuracy than the existing algorithm, and it’s robust over a wide range of driving conditions.


Doklady BGUIR ◽  
2019 ◽  
pp. 125-132
Author(s):  
V. S. Smorodin ◽  
V. A. Prokhorenko

In this paper authors present the results of a research that had a purpose to develop a method of constructing a neuroregulator model for the case of optimization of the control structure of a technological cycle. The method's implementation is based upon the automation of a production process when a physical controller, that operates the technological process according to a given program, is present. In order to achieve this goal, the artificial neural network approaches were implemented to create a mathematical model of the neuroregulator. The mathematical model of the neuroregulator is based on a physical prototype, and the procedure of a real-time control synthesis (adaptive control) is based on recurrent neural network training. The neural network architecture includes LSTM blocks, which are capable of storing information for long periods of time. A method is proposed for constructing a neuroregulator model for control of a production cycle when solving the task of the optimal trajectory finding on the phase plane of the technological cycle states. In the considered task of the optimal trajectory finding the mathematical model of the neuroregulator receives at each moment of time information about the current system state, the adjacent system states and the movement direction on the phase plane of states. Movement direction is determined by the given control optimization criteria. Based on the research results it was found that recurrent networks with LSTM modules can be used successfully as an approximator for the agent's Q-function to solve the given problem when the partially observed region of system states has a complex structure. The choice of the method of adaptation to the control actions and the external environmental disturbances proposed in the paper satisfies the requirements for the adatation process performance, as well as the requierments for the control processes quality, when there is lack of information about the nature of random control disturbances. The experimental environment, as well as the neural network models was implemented using the Python programming language with TensorFlow library.


2021 ◽  
Vol 27 (4) ◽  
pp. 202-211
Author(s):  
A. N. Polyakov ◽  
◽  
V. V. Pozevalkin ◽  

he paper presents a procedure for studying the stability of modeling an artificial neural network as applied to the thermal characteristics of machine tools. The topicality of this procedure is dictated by the ambiguity of the results generated by the neural network when constructing the predicted thermal characteristics of machine tools. Therefore, to select one of the possible solutions generated by the neural network, it was proposed to use two criteria. The effectiveness of their use is confirmed by the presented machine experiments. The methodology proposed in this work has made it possible to form a generalized concept for studying the effectiveness of the use of neural network technologies in thermal modeling of machine tools. This concept defines a typical set of variable modeling parameters, a basic mathematical model based on a modal approach, and an architecture of a typical software tool that can be developed to study the effectiveness of artificial neural network modeling. For each variant of the input data of the network, the following parameters were varied: the number of neurons in the hidden layer; the size of the input and output vectors; input vectors error; the size of the training, validation and test sample; functional features of thermal characteristics supplied to the network input or their multimodality; the presence and absence of normalization of the input vector. The paper presents experimental thermal characteristics for two spindle speeds of a vertical CNC machine. The results of the machine experiment are presented for six variants of the variable parameters of the mathematical model. The software tool used to carry out the machine experiment was developed in Matlab.


2011 ◽  
Vol 284-286 ◽  
pp. 2473-2476
Author(s):  
Aniruddha Ghosh ◽  
N.K. Singh ◽  
Somnath Chattopadhyaya

An attempt has been made in this paper to develop a appropriate model for predicting the output responses of Submerged Arc Welding (SAW) process with the help of neural network technique. Also a mathematical model has been developed to study the effects of input variable (i.e. current, voltage, travel speed) on output responses (i.e. reinforcement height, weld bead width, metal deposition rate). SAW process has been chosen for this application because of the complex set of variables involved in the process as well as its significant application in the manufacturing of critical equipments which have a lot of economic and social implications. Under this study the neural network model is trained according to the actual inputs and outputs. When the training is completed then the desired inputs are given to the model and it gives the estimated output value. And according to this we can also estimate the error between the actual and predicted results. Side by side accurecy of mathematical model has been checked.


2011 ◽  
Vol 301-303 ◽  
pp. 133-138
Author(s):  
Guo Xing Ren ◽  
Yan Cheng

This paper conducts research on expendable current profiler measurement. According to the principle of expendable current profiler measurement, this paper builds a mathematical model and discusses the composition of the system as well as the design of the sensor electrode on this basis. At the same time, against its complex work environment, it provides the neural network modification algorithm with the generalization ability, constructs the network model and carries out data modification test using this algorithm, finally it discusses part of the experimental data of the system. Through the analysis of the experimental results, it elaborates the advantages of the system and indicates the future research direction.


Author(s):  
B. Gao ◽  
J. Darling ◽  
D. G. Tilley ◽  
R. A. Williams ◽  
A. Bean ◽  
...  

The strut is one of the most important components in a vehicle suspension system. Since it is highly non-linear it is difficult to predict its performance characteristics using a physical mathematical model. However, neural networks have been successfully used as universal ‘black-box’ models in the identification and control of non-linear systems. This approach has been used to model a novel gas strut and the neural network was trained with experimental data obtained in the laboratory from simulated road profiles. The results obtained from the neural network demonstrated good agreement with the experimental results over a wide range of operation conditions. In contrast a linearised mathematical model using least square estimates of system parameters was shown to perform badly due to the highly non-linear nature of the system. A quarter car mathematical model was developed to predict strut behavior. It was shown that the two models produced different predictions of ride performance and it was argued that the neural network was preferable as it included the effects of non-linearities. Although the neural network model does not provide a good understanding of the physical behavior of the strut it is a useful tool for assessing vehicle ride and NVH performance due to its good computational efficiency and accuracy.


Author(s):  
S. L. Blyumin ◽  
R. V. Scheglevatykh ◽  
A. A. Naydenov ◽  
A. S. Sysoev

A description of the mathematical model of a neural network classifier of data on healthcare in the institutions of the Lipetsk region is given in order to identify atypical (abnormal) records. Anomaly detection refers to the problem of finding data that is inconsistent with some expected process behavior or metric occurring in the system. Due to the large number of inputs to the neural network model, the time it takes to process the incoming information also increases. To assess what factors should be transmitted to the input of the neural network classifier, an approach to the reduction of the neural network model based on sensitivity analysis is proposed. The description of a set of software tools for solving the problem is presented.


2020 ◽  
Vol 10 (8) ◽  
pp. 1912-1918
Author(s):  
Xiaohui Huang ◽  
Shuxia Zheng ◽  
Shilong Li ◽  
Jinxiang Wu ◽  
Graham Spence

The mathematical model of biochemical analysis system was established based on neural network-greedy algorithm. The optimal task scheduling sequence was solved by neural network algorithm. At the same time, the local optimization was obtained by combining greedy algorithm. In this way, the task scheduling problem in biochemical analyzer was transformed into a mathematical problem, and the mathematical model of scheduling algorithm was established. On the platform of MATLAB, eight groups of simulation tests were carried out on the same task scheduling problem using the neural network-greedy scheduling algorithm and the traditional fixedperiod scheduling algorithm. The task-time Gantt charts of the two algorithms were compared under different scheduling orders. The results showed that the average speed of the neural network-greedy algorithm was improved by 31% compared with that of the fixed-period scheduling algorithm. The mathematical model of biochemical analysis system on scheduling problem established by neural network-greedy scheduling algorithm has high efficiency compared with the traditional fixed-period scheduling algorithm.


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