Solution to the Anti-aircraft Fire Control Problem on a Naval Platform Using the Direct Geometric Model

Francisco Gil,Andrés Vivas

doi:10.25043/19098642.110

Abstract

To find the kinematic model in applications different from robotics, the free-body diagram and coordinateconversion using Euler angles is frequently used. In robotics the Khalil-Kleinfinger (1986) method is used(and others), which allows coordinate conversions over several joints. In this paper a new application ofthis method to solve the fire control problem of a naval anti aircraft gun is proposed. To demonstrate theapplication a virtual model is built using Virtual Reality Modeling Language (VRML) and controlledby Matlab Simulink®. From the direct geometric model the solution of the problem is found, includingthe detection system, platform, gun and flight of the missile. This model serves as a tool for the design,testing and integration of controllers for the gun and detection system. The prediction algorithms ofthe trajectory of the target and the missile in flight models can also be integrated. The results show thatthe geometric model of complex systems with many degrees of freedom can be constructed in a precise,methodical and easy to understand manner.

Highlights

The classic problem of anti-aircraft fire control consists in the correct prediction of the future position of a target over the time in which it is intercepted by a missile (Berg, 1983)
Bearing in mind that the naval fire control problem can contemplate up to 14 degrees of freedom, it turns out complex to find its geometric model by independently performing coordinate transformations, with it being best to take advantage of the methodical manner of performing successive transformations as proposed by Khalil-Kleinfinger (1986)
A variation is, proposed of this approach to construct a geometric model of the fire control problem, including platform movements and extending to integrate the movements of the target, the cannon located on the platform, and the missile in flight

Summary

Introduction

The classic problem of anti-aircraft fire control consists in the correct prediction of the future position of a target over the time in which it is intercepted by a missile (Berg, 1983). Bearing in mind that the naval fire control problem can contemplate up to 14 degrees of freedom, it turns out complex to find its geometric model by independently performing coordinate transformations, with it being best to take advantage of the methodical manner of performing successive transformations as proposed by Khalil-Kleinfinger (1986).

Results

Conclusion