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FUNDAMENTALS OF EFFECTIVE MANAGEMENT OF INDUSTRIAL ENTERPRISES IN MODERN CONDITIONS 现代条件下工业企业有效管理的基础
K. A. Korennaya, Novokuznetsk Russian Federation Jsc “Kuznetsk Ferroalloys”, A. Hollay, O. V. Loginovsky
Today, the problem of increasing the efficiency of large Russian industrial enterprises is one of the most important national economic problems of the domestic economy. Purpose of the study. In this regard, the purpose of the study of this work is to improve the processes of prepa¬ring and mak-ing managerial decisions on the strategic and operational management of industrial enterprises of our country in the current conditions of global instability and increasing international competition. Materials and methods. The scientific provisions presented in the article are an integral set of measures that ensure the implementation of both strategic and operational management algorithms for industrial enterprises. At the same time, the methods of mathematical modeling and financial and economic analytics were used. Results. The results of the study are: a well-founded set of scien-tific provisions on the strategic management of industrial enterprises, as well as a predictive and adaptive approach to the operational management of production companies in the conditions of both stable development of the world economy and international financial and economic crises. On the basis of the developed sets of scientific provisions, sets of mathematical models for the stra-tegic management of industrial enterprises and their operational management are formed. Conclu-sion. The scientific provisions and materials presented in this article enable the heads of industrial enterprises to form holistic and comprehensively justified strategies for their long-term development, as well as algorithms for operational management of industrial divisions of enterprises during peri-ods of global instability.
今天,提高俄罗斯大型工业企业效率的问题是国内经济中最重要的国民经济问题之一。研究目的:在这方面,研究这项工作的目的是为了改进在当前全球不稳定和国际竞争加剧的情况下,我国工业企业战略和经营管理的准备和决策过程。材料和方法。本文提出的科学规定是确保工业企业实施战略和运营管理算法的一套完整措施。同时运用了数学建模和金融经济分析的方法。结果。研究的结果是:为工业企业战略管理提供了一套有基础的科学规定,为世界经济稳定发展和国际金融经济危机条件下的生产企业经营管理提供了一种预测性和适应性的方法。在已形成的科学规定的基础上,形成了工业企业战略管理及其经营管理的数学模型。结论。本文提供的科学规定和材料,使工业企业的掌门们能够为企业的长期发展制定整体性的、全面合理的战略,也为企业在全球不稳定时期的产业部门运营管理提供了算法。
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引用次数: 0
EFFICIENT ENGINEERING IN DEVELOPMENT OF CONSTRUCTION SECTOR COMPETITIVENESS 高效工程在建设行业竞争力的发展
O. Bekirova, S. Barkalov, M. Trifonova
The COVID-19 pandemic has really become a real shock for the whole world. The way of life has changed not only for people, but also for companies in various industries. Today, the real estate market, like many other industries, is in conditions of economic instability. The study highlights the problems faced by the construction sector in the current conditions of the coronavirus pandem-ic. One of these problems is the sustainable competitiveness of construction and its compliance with new consumer preferences. Aim. The study of the influence of engineering solutions and other fac-tors on the competitiveness of construction in modern economic conditions, the definition of key criteria. Development and description of the decision-making methodology for choosing the optimal construction enterprise from the point of view of competitiveness. Materials and methods. The methods of system analysis, optimization methods, hierarchy analysis and decision theory are ap-plied in the work. Within the framework of the proposed methodology, the author's method of identifying key competitiveness criteria has been developed. Since the problem of choosing the optimal solution from among the alternatives is based on a multi-criteria approach, the use of this method is quite appropriate. The template for the formation of the methodology was identified based on the analy-sis of existing research in this area. Results. The author summarizes and supplements the criteria and factors affecting the competitiveness of construction organizations in the study. The author's method of making a decision on determining the optimal construction enterprise from the point of view of competitiveness based on the criteria considered by the author is presented. This technique includes several stages: 1) forming a goal; 2) formation of criteria by which organizations will be evaluated; 3) calculation of criteria for each organization and bringing them to a homogeneous type of data; 4) building a tree of goals and a matrix of priorities; 5) Determining the values of priority vectors for each organization under study. Conclusion. The total influence of criteria and engineering solutions on the competitiveness of construction is determined. In this regard, the implementation of the con-struction project should be carried out taking into account the strategic goals of the organization and binding to the identified criteria. The proposed methodology is developed for Russian construc-tion companies operating in modern economic conditions.
新冠肺炎疫情已经真正成为全世界的冲击。不仅人们的生活方式发生了变化,各行各业的公司也发生了变化。今天,房地产市场和许多其他行业一样,处于经济不稳定的状态。该研究强调了建筑行业在当前冠状病毒大流行条件下面临的问题。其中一个问题是建筑的可持续竞争力,以及它是否符合新的消费者偏好。的目标。研究工程解决方案等因素对现代经济条件下建筑竞争力的影响,确定关键标准。从竞争力的角度开发并描述了最优施工企业选择的决策方法。材料和方法。在工作中运用了系统分析法、优化法、层次分析法和决策理论等方法。在提出的方法框架内,作者确定关键竞争力标准的方法得到了发展。由于从备选方案中选择最优解的问题是基于多准则的方法,因此使用这种方法是非常合适的。在分析该领域现有研究的基础上,确定了该方法形成的模板。结果。笔者在研究中对影响施工组织竞争力的标准和因素进行了总结和补充。提出了从竞争力的角度出发,在考虑标准的基础上确定最优施工企业的决策方法。这个技巧包括几个阶段:1)形成一个目标;2)形成评价组织的标准;3)计算每个组织的标准,并将其转化为同质数据类型;4)建立目标树和优先级矩阵;5)确定所研究的每个组织的优先向量值。结论。确定了标准和工程解决方案对施工竞争力的总体影响。在这方面,建设项目的实施应考虑到组织的战略目标,并对确定的标准具有约束力。拟议的方法是为在现代经济条件下经营的俄罗斯建筑公司开发的。
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引用次数: 0
Development of Algorithms for Choosing the Best Time Series Models and Neural Networks to Predict COVID-19 Cases 选择最佳时间序列模型和神经网络预测COVID-19病例算法的发展
Mostafa Salaheldin Abdelsalam Abotaleb, T. Makarovskikh
Time series analysis became one of the most investigated fields of knowledge during spreading of the COVID-19 around the world. The problem of modeling and forecasting infection cases of COVID-19, deaths, recoveries and other parameters is still urgent. Purpose of the study. Our article is devoted to investigation of classical statistical and neural network models that can be used for forecasting COVID-19 cases. Materials and methods. We discuss neural network model NNAR, compare it with linear and nonlinear models (BATS, TBATS, Holt's linear trend, ARIMA, classical epidemiological SIR model). In our article we discuss the Epemedic.Network algorithm using the R programming language. This algorithm takes the time series as input data and chooses the best model from SIR, statistical models and neural network model. The model selection criterion is the MAPE error. We consider the implementation of our algorithm for analysis of time series for COVID -19 spreading in Chelyabinsk region, and predicting the possible peak of the third wave using three possible scenarios. We mention that the considered algorithm can work for any time se-ries, not only for epidemiological ones. Results. The developed algorithm helped to identify the pat-tern of COVID -19 infection for Chelyabinsk region using the models realized as parts of the consi-dered algorithm. It should be noted that the considered models make it possible to form short-term forecasts with sufficient accuracy. We show that the increase in the number of neurons led to in-creasing accuracy, as there are other cases where the error is reduced in case of reducing the number of neurons, and this depends on COVID -19 infection spreading pattern. Conclusion. Hence, to get a very accurate forecast, we recommend re-running the algorithm weekly. For medium-range fore-casting, only the NNAR model can be used from among those considered but it also allows to get good forecasts only with horizon 1–2 weeks.
时间序列分析成为新冠病毒在全球传播过程中被研究最多的知识领域之一。对COVID-19感染病例、死亡、康复等参数进行建模和预测仍然是一个紧迫的问题。研究目的:我们的文章致力于研究可用于预测COVID-19病例的经典统计和神经网络模型。材料和方法。我们讨论了神经网络模型NNAR,并将其与线性和非线性模型(BATS, TBATS, Holt's线性趋势,ARIMA,经典流行病学SIR模型)进行了比较。在本文中,我们将讨论Epemedic。网络算法采用R语言编程。该算法以时间序列为输入数据,从SIR模型、统计模型和神经网络模型中选择最优模型。模型选择标准是MAPE误差。我们考虑实施我们的算法来分析车里雅宾斯克地区COVID -19传播的时间序列,并使用三种可能的情景预测第三波可能的高峰。我们提到所考虑的算法可以适用于任何时间序列,而不仅仅适用于流行病学序列。结果。开发的算法使用作为考虑算法的一部分实现的模型帮助确定车里雅宾斯克地区的COVID -19感染模式。应当指出,所考虑的模型使形成具有足够精度的短期预报成为可能。我们表明,神经元数量的增加导致准确性的提高,因为在其他情况下,减少神经元数量会减少误差,这取决于COVID -19感染的传播模式。结论。因此,为了获得非常准确的预测,我们建议每周重新运行算法。对于中期预测,在考虑的模型中只有NNAR模型可以使用,但它也只允许在1-2周内获得良好的预测。
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引用次数: 2
APPLICATION OF INTEGRATED RATING MECHANISMS AND MATRIX NON-ANONYMOUS GENERALIZED MEDIAN VOTER SCHEMES TO COORDINATION OF THE AGENTS’ INTERESTS 综合评级机制与矩阵非匿名广义中位选民方案在主体利益协调中的应用
A. Alekseev, T. Kataeva
The collective agent coordination problem in organizational behavior systems is consider. In particular, the problem of coordinating of the agents’ interests to assess the degree of achieve-ment of the corporate strategic targets. The relevance of the problem is due to the need to increase the speed of decision-making, the speed of reaction to changes in the external environment, which can be achieved using appropriate control mechanisms. Aim. Improving methods of collective deci-sion making under circumstances where agents have different ranks of significance. Materials and methods. Methods comprise the integrated rating mechanisms and the generalized median voter schemes. The mathematical apparatus was chosen is contingent on the group decision making in organizational systems. Active agents strives to maximize his target function in the process of inter-action, which leads to a conflict of interests and a desire to distort information. The chosen methods allow these problems to be solved. The first ones are used to aggregate indicators that reflect the de-gree of achievement of the private goals of the organization at the strategic level. The second ones are used to identification the true agents’ opinions about the type of target index convolution matri-ces. Results. The matrix non-anonymous generalized median mechanism is proposed. The non-anonymous statement allows taking into account the interests of agents with different ranks. It is shown how to reduce non-anonymous procedure to an anonymous one. Decisions making process about all elements of the convolution matrices in integrated rating mechanisms with using anony-mous median voter scheme is strategy proofnees. However, the results of aggregation are not stabil-ity to the agent strategic behavior in cases of application anonymous or non-anonymous coordina-tion procedures. The new integrated mechanism based on the synthesis of known control mecha-nisms is proposed to overcome the discovered problem. Conclusion. The statement of the problem corresponds to the real procedures of decision making by governance board, when the opinion of one agent turns out to be more significant than the opinion of another agent. The developed mech-anism makes it possible to agree on the opinions of experts on the degree of achievement of the strategic goals of the organization; it can also be adapted to solve other applied problems, for ex-ample, making a decision on the choice of a project, assessing risks, assessing suppliers, etc.
研究组织行为系统中的集体代理协调问题。特别是通过协调代理的利益来评估企业战略目标的实现程度。问题的相关性是由于需要提高决策的速度,对外部环境变化的反应速度,这可以通过适当的控制机制来实现。的目标。改进主体重要性等级不同情况下的集体决策方法。材料和方法。方法包括综合评级机制和广义中位选民方案。所选择的数学工具取决于组织系统中的群体决策。主动主体在互动过程中力求实现目标函数的最大化,从而产生利益冲突和扭曲信息的欲望。所选择的方法使这些问题得以解决。第一类用于汇总反映组织在战略层面实现私人目标的程度的指标。第二部分用于识别真智能体对目标指标卷积矩阵类型的意见。结果。提出了矩阵非匿名广义中值机制。非匿名声明允许考虑不同级别代理人的利益。介绍了如何将非匿名过程简化为匿名过程。在采用匿名中值投票人方案的综合评级机制中,对卷积矩阵所有元素的决策过程是策略证明。然而,在应用程序匿名或非匿名协调过程中,聚合的结果对代理策略行为不稳定。在综合已知控制机制的基础上,提出了一种新的集成机构来克服所发现的问题。结论。问题的表述符合治理委员会决策的真实过程,即一个代理人的意见比另一个代理人的意见更重要。发展的机制使专家对组织战略目标实现程度的意见达成一致成为可能;它也可以适用于解决其他应用问题,例如,对项目的选择做出决定,评估风险,评估供应商等。
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引用次数: 0
INVESTIGATION OF THE RANDOM VALUE STATISTICAL DISTRIBUTIONS MODELS CHOICE INFLUENCE ON THE MINING OPERATIONS MODELING RESULTS 研究了随机值统计分布模型的选择对采矿作业建模结果的影响
A. Zatonskiy, P. A. Yazev
The importance of production planning for improving the performance indicators of a mining enterprise is indicated. The possibility of simulation modeling using for this aim is shown. It is shown that the created model has a large number of stochastic parameters. It is investigated that there is a problem of research lack about the choice influence of the mining modeling results with different statistical distributions. It is known that with an increase in stochastic deviations from the initial parameters, the productivity of queuing systems decreases. Purpose of work is to study this influence with four statistical distributions of a random quantity (uniform, normal, negative bi-nomial and Poisson distribution) for individual operations and their combinations. In addition, it is necessary to determine how much a change in one particular parameter will affect the overall result of the modeling. Materials and methods. In the previously created simulation model, a stochastic delay is added to the time of individual operations. The addition of such a delay with different sta-tistical distributions and with the same mathematical expectation is investigated. The simulation re-sults are compared with each other, for each individual operation the absolute and relative devia-tion of the results is shown. Further, a similar simulation is performed when all the simultaneously selected parameters changing. Result. It is shown that the magnitude of the deviation significantly differs among all deviations. It is shown that for various single changes in operations, the largest and smal-lest deviations can be given by different statistical distributions. To study the joint change with all parameters, 3 modeling scenarios are implemented: all uniform distributions (this case is used now), the scenario with the smallest deviation and the scenario with the largest deviation. It is shown that switching to another scenario leads to a significant change in the simulation. Conclusion. It is con-cluded that the used significant influence of statistical distributions choice to the accuracy of model-ing the operation of the mining machine is shown, especially when they are taken into account to-gether. The results can be used to clarify the influence of individual factors in the simulation model and improve the planning of potash mining operations, for individual mining machines too.
指出了生产计划对提高矿山企业绩效指标的重要性。说明了为此目的进行仿真建模的可能性。结果表明,所建立的模型具有大量的随机参数。研究了不同统计分布对采矿建模结果选择影响的研究不足问题。众所周知,随着与初始参数的随机偏差的增加,排队系统的生产率降低。工作的目的是用随机数量的四种统计分布(均匀分布、正态分布、负双项分布和泊松分布)对单个操作及其组合研究这种影响。此外,有必要确定一个特定参数的变化会对建模的总体结果产生多大的影响。材料和方法。在之前创建的仿真模型中,在单个操作的时间上添加了随机延迟。研究了具有不同统计分布和相同数学期望的时滞的附加问题。对模拟结果进行了比较,给出了每个单独操作结果的绝对偏差和相对偏差。此外,当所有同时选择的参数发生变化时,进行了类似的模拟。结果。结果表明,在所有偏差中,偏差的大小有显著差异。结果表明,对于各种单一的操作变化,可以用不同的统计分布给出最大和最小偏差。为了研究所有参数的联合变化,实现了3种建模场景:全均匀分布(现在使用这种情况)、偏差最小的场景和偏差最大的场景。结果表明,切换到另一个场景会导致模拟发生重大变化。结论。结果表明,统计分布的选择对矿机运行建模的准确性有显著影响,特别是在两者同时考虑的情况下。研究结果可用于阐明模拟模型中个别因素的影响,并可用于改进单个矿机的钾肥开采作业规划。
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引用次数: 0
APPLICATION OF COMPUTER VISION TECHNOLOGIES FOR THE DEVELOPMENT OF A MODEL FOR THE RECOGNITION OF LESIONS OF CULTIVATED PLANTS 应用计算机视觉技术开发栽培植物病变识别模型
N. Yanishevskaya, I. Bolodurina
In the Russian Federation, the agro-industrial complex is one of the leading sectors of the eco-nomy with a volume of domestic product of 4.5%. Russia owns 10 % of all arable land in the world. According to the data on the sown areas by crops in 2020, most of the agricultural area of Russia is occupied by wheat. The Russian Federation ranks third in the ranking of leading countries in the production of this type of grain crops, as well as leading positions in its export. Brown (leaf) and linear (stem) rust is the most harmful disease of grain crops. It is the reason for the sparseness of wheat crops and leads to a sharp decrease in yield. Therefore, one of the main tasks of farmers is to preserve the crop from diseases. The application of such areas of artificial intelligence as computer vision, machine learning and deep learning is able to cope with this task. These artificial intelligence technologies allow us to successfully solve applied problems of the agro-industrial complex using automated analysis of photographic materials. Aim. To consider the application of computer vision methods for the problem of classification of lesions of cultivated plants on the example of wheat. Materials and methods. The CGIAR Computer Vision for Crop Disease dataset for the crop disease recognition task is taken from the open source Kaggle. It is proposed to use an approach to the re-cognition of lesions of cultivated plants using the well-known neural network models ResNet50, DenseNet169, VGG16 and EfficientNet-B0. Neural network models receive images of wheat as in-put. The output of neural networks is the class of plant damage. To overcome the effect of overfit-ting neural networks, various regularization techniques are investigated. Results. The results of the classification quality, estimated by the software using the F1-score metric, which is the average harmonic between the Precision and Recall measures, are presented. Conclusion. As a result of the conducted research, it was found that the DenseNet model showed the best recognition accuracy us-ing a combination of transfer learning technology and DropOut and L2 regulation technologies to overcome the effect of retraining. The use of this approach allowed us to achieve a recognition ac-curacy of 91%.
在俄罗斯联邦,农工综合体是经济的主要部门之一,占国内生产总值的4.5%。俄罗斯拥有全世界10%的可耕地。根据2020年作物播种面积的数据,俄罗斯的大部分农业面积都被小麦占据。俄罗斯联邦在这类粮食作物生产的主要国家中排名第三,在出口方面也处于领先地位。褐锈病(叶锈病)和线状锈病(茎锈病)是对粮食作物危害最大的病害。这是小麦作物稀少的原因,导致产量急剧下降。因此,农民的主要任务之一是保护作物免受病害。计算机视觉、机器学习和深度学习等人工智能领域的应用能够应对这一任务。这些人工智能技术使我们能够通过对摄影材料的自动分析,成功地解决农工综合体的应用问题。的目标。以小麦为例,探讨计算机视觉方法在栽培植物病害分类中的应用。材料和方法。用于作物病害识别任务的CGIAR作物病害计算机视觉数据集取自开源的Kaggle。提出了一种利用知名神经网络模型ResNet50、DenseNet169、VGG16和EfficientNet-B0对栽培植物损伤进行再识别的方法。神经网络模型接收小麦图像作为输入。神经网络的输出是植物损伤的类别。为了克服过拟合神经网络的影响,研究了各种正则化技术。结果。分类质量的结果,由软件估计使用f1得分指标,这是精度和召回率之间的平均调和措施,提出。结论。研究结果表明,DenseNet模型结合迁移学习技术、DropOut和L2调节技术克服再训练的影响,识别准确率最高。使用这种方法使我们能够达到91%的识别准确率。
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引用次数: 0
ON ONE PROBLEM OF CONTROL OF VOLTAGE DURING SIGNAL TRANSMISSION IN A LONG LINE 长线路信号传输过程中的电压控制问题
N.D. Livanov, V. Ukhobotov
This article discusses the problem of controlling the process of electromagnetic oscillations in a long-distance transmission line. A long line is understood as an electrical line formed, in the sim-plest case, by two parallel current conductors, the length of which exceeds the wavelength of the transmitted electromagnetic waves, and the distance between the conductors is much less than the wavelength. Such a line is characterized by four distributed parameters, namely the ohmic re-sistance of the conductor, inductance, electrical capacity and leakage coefficient. A signal generator is connected to the left end of the line, and the right is grounded, but not of high quality. When transmitting a signal, the current and voltage make small oscillation. The control is the voltage at the left end of the long line, and the disturbance voltage at the right end, the values of which are li-mited. The boundaries of their permissible values are set. The magnitude of the aggregate of exter-nal disturbances acting on the conductor is not known exactly, but only its variation limits are given. Aim. The purpose of the control process is that at a given moment in time, the average value of the voltage value is in a given interval. This average is calculated using the specified function. Materials and methods. To solve the problem, the method of optimizing the guaranteed result was applied. Results. A transition was made to a new one-dimensional variable, with the help of which the considered problem was reduced to a control problem of the same type in the presence of inter-ference. This made it possible to find the necessary and sufficient conditions under which it is pos-sible to achieve the set goals with any admissible set of external forces and interference at the right end. A corresponding algorithm for constructing the law of voltage change at the left end of the conductor is proposed. An example is analyzed that clearly shows how management is built that guarantees the achievement of the set goal. Conclusion. If the found necessary and sufficient con-ditions are fulfilled, then it is always possible to construct such a law of voltage variation at the left end, which will lead to the achievement of the goal for any admissible interference.
本文讨论了远距离输电线路中电磁振荡过程的控制问题。在简单的情况下,长线被理解为由两个平行的电流导体组成的电线,其长度超过所传输电磁波的波长,而导体之间的距离远小于波长。这种线路的特征是四个分布参数,即导体的欧姆电阻、电感、电容量和泄漏系数。信号发生器连接到线路的左端,而右端接地,但质量不高。在传输信号时,电流和电压产生很小的振荡。控制是在长线的左端电压和右端干扰电压,它们的值是有限的。它们的允许值的界限是确定的。作用在导体上的外部扰动的总和的大小是不确切的,但只给出了它的变化极限。的目标。控制过程的目的是在给定时刻,电压值的平均值在给定区间内。这个平均值是使用指定的函数计算的。材料和方法。为了解决这一问题,采用了优化保证结果的方法。结果。转换到一个新的一维变量,借助该变量,所考虑的问题被简化为存在干扰的同类型控制问题。这使得有可能找到必要和充分的条件,在这些条件下,在任何允许的外部力量和干涉的情况下,在正确的一端实现既定的目标。提出了一种构造导体左端电压变化规律的相应算法。分析了一个例子,清楚地展示了如何建立保证实现既定目标的管理。结论。如果满足所发现的充分必要条件,则总是可以在左端构造这样的电压变化规律,这将导致任何允许干扰的目标的实现。
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引用次数: 0
STUDY OF THE POSSIBILITY OF CONTROLLING ORE AVERAGING BY METHODS OF CLASSICAL CONTROL THEORY 用经典控制理论方法研究了控制平均矿化的可能性
N. Bilfeld, D.V. Peyas, A.K. Shnabskaya
The importance of the problem of ore averaging at potash enterprises and the search for the optimal set of measures to eliminate the problem are shown. The problem of a large spread of insol-uble residues in the potash enterprises of the Verkhnekamsky District is identified. At the moment, it is solved by bunker averaging, but this does not always work effectively. It was suggested to use the previously described method of meaningful distribution in the warehouse and targeted sampling depending on the composition. A mathematical model of loading and unloading of the warehouse was constructed; algorithms and calculation of the coordinates of the point of discharge and extrac-tion of ore were proposed, depending on the content of insoluble residue and potassium chloride in the ore. This method excludes the possibility of manufacturing defects and carries out the averaging of raw materials in an optimal way. According to the indicators in the simulation model, targeted sampling in the warehouse reduces the percentage spread of insoluble residues in the ore. It was de-cided to investigate the sampling process in the warehouse for identification. Purpose of work is to test the possibility of controlling the sample as a conventional technological object using a propor-tional-integral-differentiating controller. To do this, the control object was identified, namely: a sin-gle impact jump was applied to the system input. Materials and methods. The standard impact was modeled on a previously developed warehouse simulation model, where the geometric parameters of the warehouse, the physical parameters of the ore elements, as well as the parameters of the noz-zle and scraper movement are set. With its help, potassium chloride from ore is conducted. The re-sults of the ore sampling are recorded for the initial installations, and then after a five percent jump. The simulation results are presented as a normalized graph for comparing the results and determin-ing the behavior of the system. Result. The resulting array of values was moved to the previously developed transfer function calculator. Based on the values found, a smoothed normalized graph was constructed, which had to be identified. As a result of this work, the transfer function of the first-order aperiodic link with a delay was obtained. Conclusion. When analyzing the graphs, a con-clusion about the validity of the obtained function was made. Based on the obtained arrays of val-ues, an error of 6,5% was calculated. The transfer function has been identified, so the sample in the warehouse can be controlled using a proportional-integral-differentiating controller.
指出了钾肥企业矿石平均问题的重要性,以及寻找解决该问题的最优措施。确定了维尔赫涅卡姆斯基区钾肥企业中存在大量不溶性残留物的问题。目前,它是通过掩体平均来解决的,但这种方法并不总是有效的。建议使用先前描述的仓库中有意义分布的方法,并根据组成进行有针对性的抽样。建立了仓库装卸过程的数学模型;根据矿石中不溶性残渣和氯化钾的含量,提出了出矿点和出矿点坐标的算法和计算方法。该方法排除了制造缺陷的可能性,以最优的方式对原料进行平均。根据仿真模型中的指标,仓库中有针对性的采样减少了矿石中不溶性残留物的百分比分布。决定对仓库中的采样过程进行调查,进行识别。工作的目的是测试使用比例-积分-微分控制器控制样品作为常规技术对象的可能性。为此,确定了控制对象,即:将单个冲击跳跃应用于系统输入。材料和方法。标准冲击是在先前开发的仓库仿真模型上建模的,其中设置了仓库的几何参数,矿石元素的物理参数以及喷嘴和刮板运动的参数。在它的帮助下,从矿石中提取氯化钾。矿石取样的结果记录在最初的安装中,然后在5%的跳跃之后。仿真结果以归一化图的形式呈现,用于比较结果和确定系统的行为。结果。得到的值数组被移动到先前开发的传递函数计算器中。基于发现的值,构造一个平滑的归一化图,该图必须被识别。在此基础上,得到了带时滞的一阶非周期连杆的传递函数。结论。通过对图的分析,得出了函数有效性的结论。根据得到的数值数组,计算误差为6.5%。已经确定了传递函数,因此可以使用比例-积分-微分控制器控制仓库中的样品。
{"title":"STUDY OF THE POSSIBILITY OF CONTROLLING ORE AVERAGING BY METHODS OF CLASSICAL CONTROL THEORY","authors":"N. Bilfeld, D.V. Peyas, A.K. Shnabskaya","doi":"10.14529/ctcr210312","DOIUrl":"https://doi.org/10.14529/ctcr210312","url":null,"abstract":"The importance of the problem of ore averaging at potash enterprises and the search for the optimal set of measures to eliminate the problem are shown. The problem of a large spread of insol-uble residues in the potash enterprises of the Verkhnekamsky District is identified. At the moment, it is solved by bunker averaging, but this does not always work effectively. It was suggested to use the previously described method of meaningful distribution in the warehouse and targeted sampling depending on the composition. A mathematical model of loading and unloading of the warehouse was constructed; algorithms and calculation of the coordinates of the point of discharge and extrac-tion of ore were proposed, depending on the content of insoluble residue and potassium chloride in the ore. This method excludes the possibility of manufacturing defects and carries out the averaging of raw materials in an optimal way. According to the indicators in the simulation model, targeted sampling in the warehouse reduces the percentage spread of insoluble residues in the ore. It was de-cided to investigate the sampling process in the warehouse for identification. Purpose of work is to test the possibility of controlling the sample as a conventional technological object using a propor-tional-integral-differentiating controller. To do this, the control object was identified, namely: a sin-gle impact jump was applied to the system input. Materials and methods. The standard impact was modeled on a previously developed warehouse simulation model, where the geometric parameters of the warehouse, the physical parameters of the ore elements, as well as the parameters of the noz-zle and scraper movement are set. With its help, potassium chloride from ore is conducted. The re-sults of the ore sampling are recorded for the initial installations, and then after a five percent jump. The simulation results are presented as a normalized graph for comparing the results and determin-ing the behavior of the system. Result. The resulting array of values was moved to the previously developed transfer function calculator. Based on the values found, a smoothed normalized graph was constructed, which had to be identified. As a result of this work, the transfer function of the first-order aperiodic link with a delay was obtained. Conclusion. When analyzing the graphs, a con-clusion about the validity of the obtained function was made. Based on the obtained arrays of val-ues, an error of 6,5% was calculated. The transfer function has been identified, so the sample in the warehouse can be controlled using a proportional-integral-differentiating controller.","PeriodicalId":338904,"journal":{"name":"Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127983552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
INVESTIGATION OF PARAMETERS OF THE PROBLEM OF SPLINE APPROXIMATION OF NOISY DATA BY NUMERICAL METHODS OF OPTIMAL CONTROL 用最优控制数值方法研究带噪声数据的样条近似参数问题
I. Bolodurina, L. Grishina, L. M. Antsiferova
Currently, the problems of distortion of measurement data by noise and the appearance of un-certainties in quality criteria have caused increased interest in research in the field of spline approx-imation. At the same time, existing methods of minimizing empirical risk, assuming that the noise is a uniform distribution with heavier tails than Gaussian, limit the scope of application of these studies. The problem of estimating noise-distorted data is usually based on solving an optimi-zation problem with a function containing uncertainty arising from the problem of finding optimal parameters. In this regard, the estimation of distorted noise cannot be solved by classical methods. Aim. This study is aimed at solving and analyzing the problem of spline approximation of data under uncertainty conditions based on the parametrization of control and the gradient projec-tion algorithm. Methods. The study of the problem of spline approximation of noisy data is carried out by the method of approximation of the piecewise constant control function. In this case, para-metrization of the control is possible only for a finite number of break points of the first kind. In the framework of the experimental study, the gradient projection algorithm is used for the numerical solution of the spline approximation problem. The proposed methods are used to study the parameters of the problem of spline approximation of data under conditions of uncertain-ty. Results. The numerical study of the control parametrization approach and the gradient projec-tion algorithm is based on the developed software and algorithmic tool for solving the problem of the spline approximation model under uncertainty. To evaluate the noise-distorted data, numerical experiments were conducted to study the model parameters and it was found that increasing the value of the parameter α leads to an increase in accuracy, but a loss of smoothness. In addition, the analysis showed that the considered distribution laws did not change the accuracy and convergence rate of the algorithm. Conclusion. The proposed approach for solving the problem of spline approx-imation under uncertainty conditions allows us to determine the problems of distortion of measure-ment data by noise and the appearance of uncertainties in the quality criteria. The study of the model parameters showed that the constructed system is stable to the error of the initial approxima-tion, and the distribution laws do not significantly affect the accuracy and convergence of the gra-dient projection method.
目前,测量数据的噪声失真问题和质量标准中不确定性的出现引起了样条近似领域研究的兴趣。同时,现有的最小化经验风险的方法,假设噪声是均匀分布,尾部比高斯分布重,限制了这些研究的应用范围。估计噪声失真数据的问题通常是基于求解一个优化问题,该问题包含由寻找最优参数问题引起的不确定性函数。在这方面,用经典方法无法解决失真噪声的估计问题。的目标。本研究旨在解决和分析基于控制参数化和梯度投影算法的不确定条件下数据的样条逼近问题。方法。采用分段常数控制函数逼近的方法,研究了噪声数据的样条逼近问题。在这种情况下,只有有限数量的第一类断点才能实现参数化控制。在实验研究的框架内,采用梯度投影算法对样条近似问题进行数值求解。用所提出的方法研究了不确定条件下数据样条逼近问题的参数。结果。基于开发的求解不确定条件下样条近似模型问题的软件和算法工具,对控制参数化方法和梯度投影算法进行了数值研究。为了评估噪声失真后的数据,对模型参数进行了数值实验研究,结果表明,增大参数α值可以提高模型的精度,但会降低模型的平滑性。此外,分析表明,所考虑的分布规律并没有改变算法的精度和收敛速度。结论。所提出的解决不确定条件下样条近似问题的方法使我们能够确定由噪声引起的测量数据失真和质量标准中出现的不确定因素的问题。对模型参数的研究表明,所构建的系统对初始近似的误差是稳定的,分布规律对梯度投影法的精度和收敛性没有显著影响。
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引用次数: 1
WRITING OUT OF FORMULAS FOR CALCULATING FORCES IN THE JOINTS OF MANIPULATORS IN STATICS 给出了静力学中机械臂关节受力的计算公式
S. G. Pudovkina, A. I. Telegin
The problem of bulkiness of mathematical models of manipulative systems of industrial robots is solved. Here we consider formulas for calculating static reactions in joints and formulas for active forces that balance the forces of gravity acting on the manipulator's bodies in its stationary state. The manipulator can be in such a state when it is before capturing the object of manipulation and releasing it, or when it is performing some assembly operations, or it is during spot welding and in slow (quasi-static) arc-welding and painting processes. Aim. The aim is to derive general recur-rence and finite formulas for calculating the reaction forces in joints and their projections to the ax-es of the coordinate system rigidly connected with the selected body. Express the formulas of force projections in terms of guiding cosines and justify their optimality in terms of the minimum of arithmetic operations. Derive general inverse recurrence formulas for writing out the guide cosines of the axes associated with the moving bodies of the coordinate system with respect to the stationary coordinate system. Research methods. The methods of research relate to vector mechanics and sys-tems analysis, and the algorithmization of calculations by reducing them to the use of recurrent formulas. Results. A systematic analysis of general formulas, in which all possible regular expres-sions are highlighted which are corresponding unambiguously to the kinematic parameters of ma-nipulators, is performed. These regular expressions are used in software for analytical modeling of manipulator, in particular, for the analytical solution of problems of statics of a manipulator. The method of analytical verification of the prescribed formulas is described. The tasks of writing out optimal formulas for calculating the projections of static reaction forces in joints have been solved. And the tasks of writing out optimal formulas for calculating active forces in progressive joints of universal manipulators with six degrees of freedom, operating in Cartesian, cylindrical, spherical and angular coordinate systems, have been solved also. Analytical verification of the derived equations of stat-ics is performed. Examples of the reuse of the derived formulas for manipulators with the same kin-ematic schemes of their subsystems. Conclusion. Expressions of the equations of statics of manipu-lators through the guide cosines of the axes of the associated coordinate systems of their bodies al-low us to write these equations through the known parameters of body orientation. The recurrent formulas for calculating directional cosines allows to use recursive functions in their software im-plementation, i.e. to increase the computational efficiency of the software.
解决了工业机器人操纵系统数学模型庞大的问题。在这里,我们考虑计算关节静力反应的公式和平衡作用在机械臂静止状态下的重力的主动力的公式。机械手在捕获操纵对象并释放之前,或在进行某些装配操作时,或在点焊和慢(准静态)弧焊和喷涂过程中,都可以处于这种状态。的目标。目的是推导出计算关节反作用力的一般递归公式和有限公式,以及它们在与选定物体刚性连接的坐标系轴上的投影。用引导余弦来表示力投影的公式,并用最小的算术运算来证明其最优性。推导出一般的逆递推公式,用于写出与静止坐标系中运动物体相关的坐标轴的导余弦。研究方法。研究方法涉及矢量力学和系统分析,以及通过使用循环公式将其简化为计算的算法化。结果。对一般公式进行了系统的分析,其中强调了所有可能的正则表达式,这些正则表达式明确地对应于机械手的运动参数。这些正则表达式用于机械臂解析建模软件,特别是用于机械臂静力学问题的解析求解。叙述了公式的解析验证方法。解决了计算节点静力反作用力投影的最优公式的编制问题。并解决了在直角坐标系、柱坐标系、球坐标系和角坐标系下六自由度万能机械臂进动关节主动力的优化计算公式的编制问题。对导出的静力学方程进行了分析验证。对于具有相同子系统运动学方案的机械臂,给出了推导公式的重用实例。结论。利用机械臂相关坐标系轴的导余弦来表示机械臂的静力学方程,使我们可以利用已知的机械臂姿态参数来表示这些方程。计算方向余弦的递归公式允许在其软件实现中使用递归函数,即提高软件的计算效率。
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引用次数: 0
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Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics
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