Comparative Analysis of the Guided Bomb Flight Control System for Different Initial Conditions

eng Article in English DOI: 10.14313/PAR_253/41

send Marta Grzyb , Zbigniew Koruba Kielce University of Technology, Al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce

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Abstract

The article presents research on the influence of initial conditions on the self-guidance of a guided bomb towards a stationary ground target. The aim of the study was to investigate the correlation between the initial tilt angle of the guided bomb and the precision of impact, as well as the time required to reach the surface target. To fulfil this purpose, the flight control system of the guided bomb needed to be designed accordingly. The need to develop these systems arises from emerging information that Ukraine and Israel are converting unguided bombs into precision-guided ones. This justification is based on objective reasons. The article analyses the application of classical controllers: PI, PD and PID. Their task was to accurately guide a stationary ground target under various initial conditions. A preliminary method has been proposed for selecting optimal gain coefficients for the PID controller, which constitutes the main component of the autopilot of the guided bomb flight control system. A proprietary interpolation method was suggested, starting with the use of an optimization function in MATLAB software. The numerical findings are presented in a graphical manner.

Keywords

control system, guided bomb, initialconditions, MATLAB, numerical simulation, optimization, PID controller, proportional navigation

Analiza porównawcza systemu sterowania lotem bomby kierowanej dla różnych warunków początkowych

Streszczenie

W artykule przedstawiono wyniki badań określających wpływ warunków początkowych samonaprowadzania bomby kierowanej na nieruchomy cel naziemny. Skupiono się na analizie zależności początkowego kąta pochylenia bomby kierowanej na dokładność trafienia oraz czas potrzebny na dotarcie do celu naziemnego. W tym celu należało odpowiednio zaprojektować system sterowania lotem bomby kierowanej. Zasadność tych badań wynika między innymi z konieczności rozwoju tych systemów ze względu na pojawiające się informacje, że zarówno Ukraina, jak i Izrael przekształcają niekierowane bomby w ich precyzyjne odpowiedniki. W artykule poddano analizie zastosowanie regulatorów klasycznych: PI, PD oraz PID. Ich zadaniem było precyzyjne naprowadzanie na naziemny cel nieruchomy dla różnych warunków początkowych. Dodatkowo zaproponowana została wstępna metoda doboru optymalnych współczynników wzmocnień dla regulatora PID, stanowiącego główny element autopilota systemu sterowania lotem bomby kierowanej. Wyniki badań numerycznych zostały przedstawione w postaci graficznej.

Słowa kluczowe

bomba kierowana, MATLAB, nawigacja proporcjonalna, optymalizacja, regulator PID, symulacja numeryczna, system sterowania, warunki początkowe

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