Browsing by Author "Bidyuk, Petro"

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Adaptive modeling and forecasting of nonlinear nonstationary processes
(National Aviation University, 2020-03-24) Bidyuk, Petro; Бідюк, Петро Іванович; Sineglazov, Viktor; Синєглазов, Віктор Михайлович
The study is directed towards development of adaptive decision support system for modeling and forecasting nonlinear nonstationary processes in economy, finances and other areas of human activities. The structure and parameter adaptation procedures for the regression and probabilistic models are proposed as well as respective information system architecture and functional layout are developed. The system development is based on the system analysis principles such as adaptive model structure estimation, optimization of model parameter estimation procedures, identification and taking into consideration of possible uncertainties met in the process of data processing and mathematical model development. The uncertainties are inherent to data collecting, model constructing and forecasting procedures and play a role of negative influence factors to the information system computational procedures. Reduction of their influence is favorable for enhancing the quality of intermediate and final results of computations. The illustrative examples of practical application of the system developed proving the system functionality are provided.
Filtering algorithms for determining the coordinates of the object in decision support systems
(National Aviation University, 2021-10-21) Bidyuk, Petro; Manuilenko, Roman; Pantyeyev, Roman; Бідюк, Петро Іванович; Мануйленко, Роман Іванович; Пантєєв, Роман Леонідович
Methods for estimating the parameters and states of dynamical systems are an urgent task, the results of which are used in various fields, including processes in technical systems, cosmological and physical research, medical diagnostic systems, economics, finance, biotechnology, ecology and others. Despite significant scientific and practical advances in this area, researchers in many countries around the world continue to search for new methods of assessing the parameters and states of the studied objects and improving existing ones. An example of such methods is digital and optimal filtering, which have been widely used in technical systems since the middle of the last century, in particular, in the processing of financial and economic data, physical experiments and other information technologies for various purposes. The model and algorithms of granular filtering are considered on a practical example - a variant of the problem of global localization of mobile robot (global localization for mobile robots) or the problem of hijacked robot (hijacked robot problem). In the general embodiment, it is to determine the position of the robot according to the data from the sensor. This problem was generally solved by a number of probabilistic methods in the late 1990s and early 2000s. The task is important and finds application in mobile robotics and industry. The tasks of positioning submarines, aircraft, cars, etc. are essentially similar.
Hyperboloid parameterization using in the moving object position and trajectory determination
(National Aviation University, 2020-07-06) Bidyuk, Petro; Manuilenko, Roman; Pantyeyev, Roman; Opanasiuk, Yuriy; Бідюк, Петро Іванович; Мануйленко, Роман Іванович; Пантєєв, Роман Леонідович; Опанасюк, Юрій Арценович
The problem of the coordinates determining of the radio emission source in the passive radio monitoring complexes is very relevant, but complex calculation procedure. There are many factors that negatively affect the accuracy of the method. The method proposed in this article will more accurately determine the coordinates of the object. The article considers a mathematical model of space-time objects and a complex radio source. Based on parameterization and coordinate transformation, the hyperbolic system of object position equations is reduced from three to two equations. As a result, reducing the number of iterations and the number of calculations in one iteration of Newton's method are more accurate coordinates of the object. Parameterization quickly determines the new location of the object at the maximum possible speed. Usually airplanes and drones move at a lower speed, so the use of difference-range method and parameterization of hyperboloids allow you to find a new location of the object in one iteration.