Linear-quadratic control of multiple interceptors

This article develops a systematic approach for stochastic multi-target control based on the integration of the linear-quadratic regulator into multi-target tracking models. Using the assumption that possible targets are independent, follow linear-Gaussian trajectories, and can be described with Gaussians, it is shown that the linear-quadratic regulator can be applied to each target individually which enables them to be controlled with the classical linear-quadratic regulator. The result is demonstrated in a simple multi-target scenario which has the effect of controlling all of the targets to the same state over a given time-frame.