scholarly journals Rocket tracking impact point prediction using α-β, standard Kalman, extended, Kalman, and unscented Kalman filters: a comparative analysis

2020 ◽  
Vol 9 (3) ◽  
pp. e42932022
Author(s):  
José Alano Peres de Abreu ◽  
Roberto Célio Limão de Oliveira ◽  
João Viana da Fonseca Neto
Keyword(s):  
Mathematical Model ◽  
Kalman Filter ◽  
Comparative Analysis ◽  
Unscented Kalman Filter ◽  
Target Position ◽  
Accurate Information ◽  
Impact Point ◽  
Advantages And Disadvantages ◽  
Tracking Algorithms ◽  
The Impact

Accurate information about the impact point (IP) of a suborbital rocket on Earth’s surface during a launch is an important requirement for range safety operations. Four different estimators, i.e., the α-β filter, standard Kalman filter (SKF), extended Kalman filter (EKF), and unscented Kalman filter (UKF), are considered for the suborbital rocket tracking problem, whose data are used specifically for improving the accuracy of the IP prediction (IPP) of these vehicles. This paper presents a comparative analysis between the results of the estimators. Rocket flight data are discussed to demonstrate the advantages and disadvantages of the estimators and to determine the inherent limitations in predicting the aerodynamic effects found in certain flight situations. We discuss the appropriate mathematical model of a filter capable of running the real-time algorithm for the estimation of target position and velocity. This work uses actual data from a radar sensor to evaluate the tracking algorithms. We insert the filter result into the mathematical model developed to predict the rocket IP on Earth's surface. The main goal of this study is to evaluate the performance of four different estimators when specifically applied for the improvement of the IPP of suborbital rockets. It is demonstrated that the UKF outperforms all other tracking algorithms in terms of the accuracy and robustness of IP estimation.

scholarly journals Estimation of Full Strap-down Rotating Bomb Guidance Information Based on Unscented Kalman Filter

2020 ◽  
Vol 38 (3) ◽  
pp. 604-609
Author(s):  
Wei Gao ◽  
Benbing Gao ◽  
Hongsong Fang ◽  
Xin Lu
Keyword(s):  
Mathematical Model ◽  
Kalman Filter ◽  
Unscented Kalman Filter ◽  
Angular Rate ◽  
The Body ◽  
Filter Method ◽  
Measurement Information ◽  
Kalman Filter Method ◽  
The Mathematical Model ◽  
Navigation Information

In this paper, the full strap-down seeker of rotating bomb is taken as the research object, and the method of extracting the LOS (line-of-sight) angle and angular rate of the full strap-down seeker of the rotating bomb is studied. The structure of the full strap-down seeker is quite different from that of the conventional rate gyro seeker. The measurement system of full strap-down seeker is fixed to the missile, the seeker can only obtain the measurement information in the projectile coordinate system, and the measurement information is coupled with the body posture information, so it cannot be directly used for the control guidance of the rotating projectile. First, based on the conversion relationship between coordinate systems, the mathematical model of the inertial LOS angle of the rotating bomb is established, and the mathematical model of the extraction of the inertial LOS angle and angular rate of the rotating bomb is further established. Then, the Kalman filter is designed by using the unscented Kalman filter method (UKF), and the extracted LOS angle containing noise information is filtered. Finally, the mathematical simulation is carried out to verify the validity of the mathematical model of LOS angle and angular rate extraction. Compared with the Extended Kalman filter method (EKF), the UKF has a higher accuracy for estimating the navigation information of the full strap-down rotating projectile.

scholarly journals The problem of distance learning in higher educational institutions during quarantine

2021 ◽  
Vol 2021 (3 (136)) ◽  
pp. 120-127
Author(s):  
Nataliia Shylina
Keyword(s):  
Distance Education ◽  
Academic Success ◽  
Distance Learning ◽  
Comparative Analysis ◽  
Social Life ◽  
Theoretical Research ◽  
Educational Institutions ◽  
Traditional Learning ◽  
Advantages And Disadvantages ◽  
The Impact

The article is devoted to the problem of distance education, namely training and educating under conditions of the pandemic. The issue of the coronavirus epidemic, which forced the urgent restructuring of all spheres of social life of people around the world, is addressed in the article. As a result, the problem of the global transition to distance learning under severe quarantine is becoming urgent. The author analyzes domestic and foreign pedagogical experience of distance education. Among domestic authors this problem was studied by Gorbatyuk R. M, Turanov Y. O., Rak V. I., Vdovenko I. S., Bodnar S. V., Dekusar G. G., Kuznetsova O. V., Opanasenko Ya. Foreign researchers (Amanda Morin, Berman Grace, and Dubinsky Alison) are more likely to point out that distance learning is associated with many difficulties. The aim of our study was to highlight the problem of distance learning in the quarantine period, its advantages and disadvantages over traditional learning, as well as a comparative analysis of the traditional and distance forms of educational activities. In the process of solving problems, theoretical research methods were used: analysis, systematization, classification of educational and methodological literature to substantiate the theoretical and methodological foundations of research, surveys, analysis of the products of the students’ pedagogical activities. The article presents data from the study of the groups consisting of first- and fifth-year students who studied in different periods: in the first half of 2019, when the study was in classrooms, and in the first half of 2020 during the quarantine, when the study was carried out using distance education. The data according to three criteria: academic success, students’ attendance and students’ satisfaction with the learning process were analyzed by the author. A comparative analysis of the traditional and distance learning is shown in the article. Some conclusions about the ambiguity of the impact of distance learning on different contingents of students have been made.

scholarly journals Integration of Kalman filter in the epidemiological model: A robust approach to predict COVID-19 outbreak in Bangladesh

2021 ◽  
pp. 2150108
Author(s):  
Md. Shariful Islam ◽  
Md. Enamul Hoque ◽  
Mohammad Ruhul Amin
Keyword(s):  
Kalman Filter ◽  
Unscented Kalman Filter ◽  
Physical Geography ◽  
Transmission Dynamics ◽  
Real Scenario ◽  
The Individual ◽  
In The Beginning ◽  
Robust Prediction ◽  
The Impact ◽  
Second Wave

As one of the most densely populated countries in the world, Bangladesh has been trying to contain the impact of a pandemic like coronavirus disease 2019 (COVID-19) since March, 2020. Although government announced an array of restricted measures to slow down the diffusion in the beginning of the pandemic, the lockdown has been lifted gradually by reopening all the industries, markets and offices with a notable exception of educational institutes. As the physical geography of Bangladesh is highly variable across the largest delta, the population of different regions and their lifestyle also differ in the country. Thus, to get the real scenario of the current pandemic and a possible second wave of COVID-19 transmission across Bangladesh, it is essential to analyze the transmission dynamics over the individual districts. In this paper, we propose to integrate the Unscented Kalman Filter (UKF) with classic SIRD model to explain the epidemic evolution of individual districts in the country. We show that UKF-SIRD model results in a robust prediction of the transmission dynamics for 1–4 months. Then we apply the robust UKF-SIRD model over different regions in Bangladesh to estimates the course of the epidemic. Our analysis demonstrates that in addition to the densely populated areas, industrial areas and popular tourist spots will be in the risk of higher COVID-19 transmission if a second wave of COVID-19 occurs in the country. In the light of these outcomes, we also provide a set of suggestions to contain the future pandemic in Bangladesh.

scholarly journals Nonlinear observers design for multivariable ship motion control

2012 ◽  
Vol 19 (Special) ◽  
pp. 50-56 ◽  
Author(s):  
Mirosław Tomera
Keyword(s):  
Mathematical Model ◽  
Kalman Filter ◽  
Comparative Analysis ◽  
Motion Control ◽  
Extended Kalman Filter ◽  
Computer Model ◽  
Ship Motion ◽  
Nonlinear Mathematical Model ◽  
Nonlinear Observers ◽  
Ship Handling

ABSTRACT This paper presents the designs of two observers, which are: the extended Kalman filter and the nonlinear passive observer. Based on the measured values of ship position and heading, the observers estimate the surge, sway and yaw velocities of the ship motion. The observers make use of the simplified nonlinear mathematical model of ship motion in which the neglected ship dynamics and disturbances are modelled using bias. The designed observers firstly have been simulated on a computer model where their parameters were calibrated, and then were implemented on the physical model of the training ship “Blue Lady” in the ship handling centre in Ilawa-Kamionka. The comparative analysis was done with respect to the estimated variables describing the ship motion in three directions: surge, sway and yaw

scholarly journals Comparative analysis of USA and Chinese entrepreneurship: experience for Kazakhstan

2021 ◽  
Vol 16 (2) ◽  
pp. 86-97
Author(s):  
A. M. Myrzakhmetova ◽  
A. E. Mukhametzhan
Keyword(s):  
United States ◽  
Economic Growth ◽  
Comparative Analysis ◽  
Well Being ◽  
The United States ◽  
Entrepreneurial Activity ◽  
Advantages And Disadvantages ◽  
The World ◽  
Effective Development ◽  
The Impact

Вusinesses are the backbone of the national economy and play an important role for the effective functioning of the economy of any country in the world. The authors studied the experience of the United States and China, in which small and medium-sized businesses have been successfully developing for a long time, both during periods of economic growth and during periods of economic recession.The purpose of the article is to study the features and conduct a comparative analysis of the organization of entrepreneurial activity in the United States and China, and, based on the experience of these countries, develop proposals for the effective development of entrepreneurship in Kazakhstan. The authors analyzed the dynamics and factors of the development of small and medium-sized businesses, the advantages and disadvantages of entrepreneurial activity in the United States and China, and identified the impact of the COVID-19 pandemic on entrepreneurial activity in these countries and in Kazakhstan. In the course of the study, various methods of scientific knowledge were used: data collection and processing, economic, comparative and statistical analysis, generalization, synthesis, induction, deduction. We collected and processed fresh quantitative data on the state and dynamics of the development of small and medium-sized enterprises in the United States and China in the period from 2011 to 2021.Small and medium business is an integral and important part of the economic development of all countries of the world, the experience of countries such as the United States and China can be useful and interesting for the Kazakh economy. Entrepreneurship performs a number of important socio-economic functions for the country: providing employment, creating a competitive environment, supporting and introducing innovations, reducing social inequality, attracting natural, human, material and technical resources into the production and commercial process, stimulating economic growth and improving the well-being of people.The authors, based on a study of the experience of entrepreneurial activities of two large leading countries of the world economy, have developed proposals that will contribute to the development of small and medium-sized businesses in the Republic of Kazakhstan.

Understanding Protocol Performance: Impact of Test Performance

2013 ◽  
Vol 24 (10) ◽  
pp. 909-919
Author(s):  
Robert G. Turner
Keyword(s):  
Mathematical Model ◽  
Research Design ◽  
Test Performance ◽  
Negative Impact ◽  
Performance Impact ◽  
Advantages And Disadvantages ◽  
Protocol Performance ◽  
The Individual ◽  
The Impact ◽  
Test Correlation

Background: This is the second of two articles that examine the factors that determine protocol performance. The objective of these articles is to provide a general understanding of protocol performance that can be used to estimate performance, establish limits on performance, decide if a protocol is justified, and ultimately select a protocol. The first article was concerned with protocol criterion and test correlation. It demonstrated the advantages and disadvantages of different criterion when all tests had the same performance. It also examined the impact of increasing test correlation on protocol performance and the characteristics of the different criteria. Purpose: To examine the impact on protocol performance when individual tests in a protocol have different performance. This is evaluated for different criteria and test correlations. The results of the two articles are combined and summarized. Research Design: A mathematical model is used to calculate protocol performance for different protocol criteria and test correlations when there are small to large variations in the performance of individual tests in the protocol. Results: The performance of the individual tests that make up a protocol has a significant impact on the performance of the protocol. As expected, the better the performance of the individual tests, the better the performance of the protocol. Many of the characteristics of the different criteria are relatively independent of the variation in the performance of the individual tests. However, increasing test variation degrades some criteria advantages and causes a new disadvantage to appear. This negative impact increases as test variation increases and as more tests are added to the protocol. Conclusions: Best protocol performance is obtained when individual tests are uncorrelated and have the same performance. In general, the greater the variation in the performance of tests in the protocol, the more detrimental this variation is to protocol performance. Since this negative impact is increased as more tests are added to the protocol, greater test variation indicates using fewer tests in the protocol.

Improving the Estimation of the Tracking Error Signal in Real Time for IR Seeker Using Nonlinear Kalman Filters

2020 ◽  
Vol 29 (15) ◽  
pp. 2050242
Author(s):  
Osama Abbas ◽  
Mohammad Reza Arvan ◽  
Ali Mahmoodi
Keyword(s):  
Kalman Filter ◽  
Real Time ◽  
Unscented Kalman Filter ◽  
Tracking Error ◽  
Target Position ◽  
Raspberry Pi ◽  
Main Task ◽  
Error Signal ◽  
Ir Detector ◽  
Information Signal

In nonimaging IR seekers, the received target radiation on the IR detector is modulated via a reticle and produces the information signal (IS). The IS contains the tracking error signal (TES), which is proportional with the target position. TES is used in the control and optic section in the missile. The main task is to extract the TES from IS. The accuracy of TES extraction may be affected by several items such as noise from engines. In this paper, we used for the first time this field Square Root Unscented Kalman Filter (SRUKF) and Extended Kalman Filter (EKF) to estimate the TES from the IS for wagon wheel reticle. Due to the high computational complexity of these algorithms, their execution in real time is not an easy task especially if there is space limitation for hardware. By using the minicomputer, such as Raspberry Pi 3 Model [Formula: see text] platform, the task can be done. The results showed that the SRUKF presented the best phase estimation for TES. The implementation by using Raspberry Pi was in real time because all algorithm executions for one period was less than 5[Formula: see text]ms, this time in our problem is less than strict timing window.

scholarly journals BEHAVIORAL BIASES IN INVESTMENT DECISIONS: HOME BIAS CASE

2021 ◽  
Author(s):  
Pavlo Dziuba ◽  
Kyryl Shtogrin
Keyword(s):  
Comparative Analysis ◽  
Financial Reporting ◽  
Home Bias ◽  
International Diversification ◽  
Theory And Practice ◽  
Local Bias ◽  
Advantages And Disadvantages ◽  
Developed Markets ◽  
International Portfolio ◽  
The Impact

The place of home bias in the modern paradigm of international portfolio investing is determined. The differences between theory and practice of international portfolio investing resulting from such a bias are identified. Main advantages of international diversification of investment portfolios in terms of performance-risk ratio are defined. It is determined that the growing level of financial markets globalization accompanied by the increase in correlation of returns of financial assets have not affected the benefits of international diversification. The primary problems in determining the reasons for home bias are identified. The main economic and mathematical formalization of home bias in the form of indexes is distinguished. The local bias is investigated. It is revealed that local bias is not limited to national borders. It is determined that home bias is negatively correlated with the wealth of an investor. The extent of home bias for particular groups of countries according to their level of economic development is investigated. It is determined that the highest level of home bias is observed in several developed markets, including China, Japan, the USA, and France, while Luxembourg, the Netherlands, and Switzerland have the highest level of international diversification. The benefits of international diversification based on the MSCI indexes are determined. It is revealed that the benefits from international diversification through emerging markets are higher than those of developed markets. A comparative analysis of portfolios of several countries in the instruments of foreign and local markets is carried out. It is determined that the Great Recession of 2007-2008 promoted the increase in the level of home bias but since 2013 the global level of international diversification has been increasing. Approaches to the analysis of factors of presence of home bias are determined and their main advantages and disadvantages are analyzed based on comparative analysis. The impact of asymmetry of information, financial reporting standards, non-tradable sector of the economy, volumes of investment, inflation, transaction costs, institutional factors on the level of international diversification of the investment portfolio is investigated. A new approach to systematization of factors of home bias through their clustering for institutional, behavioral, transaction and other factors is suggested.

scholarly journals Comparative Analysis of the Kinematics Solution Based on the DH Method and Screw Theory

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Yong-Bin Li ◽  
Tie-Jun Li ◽  
Hui-Fang Zhu ◽  
Dong Yang ◽  
Ya-Jun Chen ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Comparative Analysis ◽  
Screw Theory ◽  
Parameter Method ◽  
Advantages And Disadvantages ◽  
Calculation Results ◽  
Robot Technology ◽  
Dual Arm Robot ◽  
Exponential Formula ◽  
Dual Arm

The premise of analyzing and researching robot technology is to establish a proper mathematical model and then to solve it with kinematics. In this study, a self-developed humanoid hydraulically driven dual-arm robot is taken as the research object, and the DH (Denavit–Hartenberg) parameter method and the rotational exponential formula (POE) are used to solve the kinematics of the robot. The calculation results are verified by simulation. The advantages and disadvantages of the two methods are analyzed. The differences between the two methods are compared. It lays a foundation for other scholars to choose mathematical models when analyzing the mechanism in the future.

scholarly journals A New Dynamic Model for Sealed Coring Saturation Correction in Hydrocarbon Reservoir

Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Bin Tu ◽  
Jie Li
Keyword(s):  
Mathematical Model ◽  
Water Saturation ◽  
Correction Method ◽  
Fluid Viscosity ◽  
Dissolved Gas ◽  
Fractional Flow ◽  
Model Correction ◽  
Advantages And Disadvantages ◽  
Hydrocarbon Reservoir ◽  
The Impact

It is one of the most intuitive methods to analyze the formation of oil and water saturation by sealed coring. But this method is affected by a variety of factors, such as pore volume change, fluid compression, and separation of dissolved gas. In view of the impact of such factors on sealed coring test saturation, there are four kinds of correlation methods currently, namely, comprehensive coefficient correction method, experiment correlation method, mathematical statistics method, and mathematical model correction method, with their own advantages and disadvantages. Based on the analysis of physical change during core lifting process, this paper proposes the mathematical model for dynamic correction of core saturation based on dissolved gas drive filtration theory, multiphase flow fractional flow theory, and corresponding work flow. This method comprehensively considers the impact of relative permeability of three-phase fluid flow, elastic compression nature of fluid and rock, fluid viscosity, volume factor, solution GOR, and other high-pressure PVTs, so it features a wider adaptability, and the accuracy of model correction results satisfies the project requirements. This method provides a reliable basis for the true oil-water saturation of actual reservoir and has an important theoretical and practical significance.

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