Application of the 3D differential geometric guidance commands

The application of three-dimensional (3D) differential geometric (DG) guidance commands to a realistic tactical missile interception scenario is investigated. In particular, the capture capability and interception performance of the law are analyzed. The classical DG formulations are utilized firstly to transform the DG guidance commands from the arc-length system to the time domain. Then, an algorithm for commanded angle-of-attack and sideslip angle is introduced to form the 3D DG guidance law. Finally, a new necessary initial condition is deduced to guarantee intercepting and/or capture of high speed targets, as well as to prevent singularity of guidance commands throughout the operation envelope. Simulations results demonstrate that the proposed guidance law performs better than classical proportional navigation guidance law in the case of intercepting a maneuvering target.