Mathematical Modeling, Analysis and Evaluation of the Complexity of Flight Paths of Groups of Unmanned Aerial Vehicles in Aviation and Transport Systems

Andrey Kositzyn,Natalia Kurileva,Sergey Korchagin,Petr Nikitin,Denis Serdechnyy,Ekaterina Pleshakova

doi:10.3390/math9172171

Abstract

Recently, we have seen the rapidly growing popularity of unmanned aerial vehicles. This is due to some advantages, namely portability, the ability to fly over hard-to-reach areas without human intervention. They are also widely used for commercial purposes, agriculture, delivery, automation in warehouses. The potential of unmanned aerial vehicles is vast and demonstrates promising opportunities. However, when using these devices, the issue of safety is acute. This article presents a developed software application that is used to improve the efficiency of flight research of groups of unmanned aerial vehicles, based on a new method for assessing flight safety by comparing the complexity of specified air routes. A practical approach to modeling and evaluating the search for a safe way is proposed. A suitable method of research is computer and simulation modeling. It is suggested to use the spectrum of dynamic characteristics of the sequence as a formal attribute for analyzing routes. The method is illustrated by an example of comparing air trajectories according to the flight safety criterion. The software application is intended for use in the educational process when training specialists in transport security, robotics, and system analysis.

Highlights

Over the past few years, unmanned aerial vehicles have gained enormous popularity [1,2].They are used in various industries: sensing, target observation, scientific data collection, disaster management, smart cities, search and rescue operations, food delivery, etc
Based on the results of the research, a set of mathematical models and a prototype of software have been developed that allow assessing the complexity of the flight paths of groups of unmanned aerial vehicles and choosing the optimal route
A map is loaded into the software application to simulate the flight paths of unmanned aerial vehicles

Summary

Introduction

Over the past few years, unmanned aerial vehicles have gained enormous popularity [1,2]. They are used in various industries: sensing, target observation, scientific data collection, disaster management, smart cities, search and rescue operations, food delivery, etc. Along with the benefits of unmanned aerial vehicles, some disadvantages hinder their use. Safety in this area is acute, mainly related to ensuring the safe operation of unmanned aerial vehicles during the flight. The safe operation of unmanned aerial vehicles is the most critical and urgent task since any unexpected deviation from the specified route will entail risks

Methods

Results

Conclusion