Mathematical Model of Detection of Small Unmanned Aerial Vehicles Using Active Optical Systems

Abstract

The work is devoted to the solution of an actual scientific task in the field of civil protection, namely, the development of a new model for the prevention of emergency situations of a terrorist nature at the objects of the critical infrastructure of Ukraine, which are protected, by means of timely detection and identification of small unmanned aerial vehicles by active optoelectronic means. Based on the analysis, it was established that one of the trends in the development of terrorist scenarios at protected critical infrastructure facilities is the use of various small manned and unmanned aerial vehicles to carry out terrorist acts. This work is a continuation of the cycle of previous works on the development of a structural and logical model for managing an emergency situation of a terrorist nature at an object of critical infrastructure of Ukraine, which is protected, caused by the appearance of small-sized aerial targets, intended for the development and constant implementation of procedures of an organizational and technical nature to ensure the safety of the object to the guarded object, when small air targets appear. A mathematical model for the detection of signals reflected from small aerial targets using active optical systems using the phenomena of light absorption and scattering in optically transparent media has been developed, which represents a system of four analytical dependencies. Thus, the mathematical model of detecting signals reflected from small unmanned aerial vehicles using active optical systems using the phenomena of light absorption and scattering in optically transparent media is a system of four analytical dependencies. The first of them allows you to calculate the probability of detecting signals reflected from small air targets. The second determines the expected detection range. The third describes the geometric detection range. The fourth is the energy detection range of signals reflected from small unmanned aerial vehicles by optical systems. Further research will be directed to conducting field experiments, performed using a specially designed laboratory setup, and theoretical calculations of the value of expected target detection activities as part of numerous experiments that should prove the reliability of the results obtained in the work. Keywords: emergency situation, small unmanned aerial vehicle, violator, model, protected object.