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Map Building for a Mobile Robot Based on grey system theory

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Journal of systems Engineering and Electronics 2003年第3期14卷 67-72页

作者：王卫华席裕庚陈卫东 Institute of Automation Shanghai Jiaotong University Shanghai 2000301 P. R. China

In this paper, a new method for mobile robot map building based on grey system theory is presented, by which interpretation and integration of sonar readings can be solved robustly and efficiently. The conception of 'grey number is introduced to model and handle the uncertainty of sonar reading. A new data fusion approach based on grey system theory is proposed to construct environment model. Map building experiments are performed both on a platform of simulation and a real mobile robot. Experimental results show that our method is robust and accurate.

关键词： grey system theory Uncertainty Map building Mobile robot.

Optimization approach hydroforming car beam billets based grey system theory

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Journal of Beijing Institute of Technology 2011年第1期20卷 48-53页

作者：吴耀金薛勇段江年 National Key Laboratory of Science and Technology on Electronic Test and Measurement School of Material Science and Engineering North University of China School of Mechanical Engineering and Automation Beijing University of Aeronautics and Astronautics

Perfect combination of structural size parameters of the hydroforming billets is essential to obtain even wall thicknesses of the car beam. Finite element （ FE ） analysis on hydroforming car beam was carried out, and the results were optimized according to multiple quality objectives by the grey system theory. With bending angle, bending radius and hight difference along the axis direction as variables, orthogonal FE analyses were conducted and the minimum and maximum wall thicknes ses of the billets with different sizes were obtained. Taking the minimum and maximum wall thick nesses as two references, the correlation coefficient between the data for reference and those for comparison by the grey system theory reduced multi objectives to a single quality objective, and the average correlation level of every billet facilitated the optimization of size parameters for hydroform ing car beam. The trial production showed that the optimization approach satisfied the need of hy droforming car beams.

关键词： car beam hydroforming billet grey system theory multi objective optimization

Predicting changes in Bitcoin price using grey system theory

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Financial Innovation 2020年第1期6卷 235-246页

作者： Mahboubeh Faghih Mohammadi Jalali Hanif Heidari Department of Applied Mathematics Damghan UniversityDamghanIran

Bitcoin is currently the leading global provider of cryptocurrency.Cryptocurrency allows users to safely and anonymously use the Internet to perform digital currency transfers and storage.In recent years,the Bitcoin network has attracted investors,businesses,and corporations while facilitating services and product deals.Moreover,Bitcoin has made itself the dominant source of decentralized cryptocurrency.While considerable research has been done concerning Bitcoin network analysis,limited research has been conducted on predicting the Bitcoin price.The purpose of this study is to predict the price of Bitcoin and changes therein using the grey system theory.The first order grey model(GM(1,1))is used for this purpose.It uses a firstorder differential equation to model the trend of time series.The results show that the GM(1,1)model predicts Bitcoin’s price accurately and that one can earn a maximum profit confidence level of approximately 98%by choosing the appropriate time frame and by managing investment assets.

关键词： Cryptocurrency Bitcoin grey system theory GM(1,1)model Prediction

A Novel Rolling and Fractional-ordered grey system Model and Its Application for Predicting Industrial Electricity Consumption

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Journal of systems Science and systems Engineering 2024年第2期33卷 207-231页

作者： Wenhao Zhou Hailin Li Zhiwei Zhang College of Business Administration Huaqiao UniversityQuanzhou 362021China College of Business Administration Capital University of Economics and BusinessBeijing 100070China

Accurate and reasonable prediction of industrial electricity consumption is of great significance for promoting regional green transformation and optimizing the energy structure.However,the regional power system is complicated and uncertain,affected by multiple factors including climate,population and economy.This paper incorporates structure expansion,parameter optimization and rolling mechanism into a system forecasting framework,and designs a novel rolling and fractional-ordered grey system model to forecast the industrial electricity consumption,improving the accuracy of the traditional grey models.The optimal fractional order is obtained by using the particle swarm optimization algorithm,which enhances the model adaptability.Then,the proposed model is employed to forecast and analyze the changing trend of industrial electricity consumption in Fujian province.Experimental results show that industrial electricity consumption in Fujian will maintain an upward growth and it is expected to 186.312 billion kWh in 2026.Compared with other seven benchmark prediction models,the proposed grey system model performs best in terms of both simulation and prediction performance metrics,providing scientific reference for regional energy planning and electricity market operation.

关键词： Electricity consumption grey system theory prediction model fractional order

Using grey system theory for Earthquake Forecast

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Earthquake Research Advances 2002年第4期 110-122页

作者： Cheng Kueihsiang 1) and Taiji Mazda 2) 1) Kao Yuan Institute of Technology, Kaohsiung, Taiwan (China) 2) Department of Civil Engineering, Kyushu University, Kyushu, Japan

By combining conventional grey correlation analysis, grey clustering method and grey forecasting methods with our multi-goal forecast thoughts and the techniques of grey time series processing, we develop six different grey earthquake forecast models in this paper. Using the record of major earthquakes in Japan from 1872 to 1995, we forecast future earthquakes in Japan. We develop an earthquake forecast model. By using the major earthquakes in Japan from 1872 to 1984, we forecast earthquakes from 1985 to 1995 and check the precision of the grey earthquake models. We find that the grey system theory can be applied to earthquake forecast. We introduce the above analysis methods and give a real example to evaluate and forecast. We also further discuss the problems of how to improve the precision of earthquake forecast and how to strengthen the forecast models in future research.

关键词： grey system theory Earthquake forecast Forecast model Earthquakes in Japan Review on Deep Geophysical Exploration and Research in China1$$$$ Wang ChunyongInstitute of Geophysics, China Seismological Bureau, Beijing 100081, China The sta

Application of grey system theory in Design For Cost (DFC)

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International Journal of Plant Engineering and Management 2003年第3期8卷 163-170页

作者： CHENXiao-chuan FANGMing-lun CollegeofMechanicalEngineering DonghuaUniversityShanghai200051P.R.China CIMS&RoboticsCenter ShanghaiUniversityShanghai200072P.R.China

Design For Cost (DFC) is a branch of Design For X (DFX). In this paper, wedefined DFC as a design method that analyzed and evaluated the product's life cycle cost (LCC), thenmodified the design to reduce the LCC. Nowadays it is a very difficult thing to obtain LCC data inChina or in developing countries. Statistical methods can not be used because available LCC data arefew. In order to solve this problem, we used grey system theory. Then relations of cost factorswere analyzed in LCC using grey relevant methods, and a GM(1,1) model between design parameters andLCC was established. Using this model, we can estimate and control LCC by changing design parametersat the beginning of the design stage.

关键词： grey system theory concurrent engineering design for cost (DFC) life cyclecost (LCC)

The Application of grey system theory Combined with Fuzzy Reasoning in High Order Nonlinear Control system

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The Application of Grey System Theory Combined with Fuzzy Re...

Influence of the Heating Conditions on asphalt compositions by grey system theory

2001 International Conferences on Info-tech and Info-net

作者： Zhang Shuhong Chen Mianyun Song Yexin Department of Control Science and Engineering Huazhong University of Science and Technology

ISBN: (纸本)0780370104;9780780370104

＜正＞The system with partial unknown structure,parameters,and characteristics is called a grey system. The grey system theory can be employed to improve the control performance of a system without sufficient information or with highly nonlinear property.In this paper,grey system theory is introduced into sliding mode control of high order nonlinear system and a novel grey fuzzy sliding mode controller is developed.In this controller design,grey prediction model combined with fuzzy reasoning is proposed to obtain sliding mode control strategy.The controller can drive the state from an arbitrary initial point of state to the origin along a sliding mode hyper plane quickly and reduce the vibration phenomenon that is caused by switching delay brought by system inertia.grey system theory is the efficient tool in the analysis and control of nonlinear,uncertain systems.

关键词： grey system theory grey Fuzzy Sliding Mode Controller Fuzzy Reasoning Vibration

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Influence of the Heating Conditions on asphalt compositions ...

Evaluation of Tapered Roller Bearing Vibration Velocity as Data series Using grey system theory

The 1st International Congress on Advanced Materials 2011

作者： M Yu S P Wu Key Laboratory of Silicate Materials Science and Engineering（Wuhan University of Technology） Ministry of Education

This paper carried out the applications of grey system theory to correlate asphalt compositions and heating conditions consisting of asphalt mass,heating temperatures and heating time.In order to clarify the influences of the heating conditions,the asphalt compositions were determined,which included four generic components,namely asphaltenes,resins,aromatics and saturates,the total contents of asphaltenes and resins replaced by A value,the total contents of aromatics and saturates replaced by B value,and the ratio of A and B.The results show that all the four generic components of the asphalt are affected obviously by different heating conditions and none of the four generic is affected by the largest.The component most affected by asphalt mass is the ratio of A value and B value.In additionally,A value is influenced mainly by heating time while B value by heating temperature.

关键词： asphalt asphalt composition heating conditions grey system theory

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Evaluation of Tapered Roller Bearing Vibration Velocity as D...