A Combined Linear-Quadratic/Bounded Controls Differential Game Guidance Law against Multiple Evaders

A new guidance law is proposed, based on the solution of a combined Linear Quadratic Differential Game and Norm Bounded Differential Game involving a single pursuer and multiple evaders. It is assumed that the probabilities of choosing each of the evaders are known. The strategies after the decision time are based on the solution of Norm Bounded Differential Game yielding a performance index depending on the state at the decision time. A non-standard linear-quadratic differential game problem before the decision time is formulated that takes into account the average performance over all decision outcomes. The piecewise continuous solution of the Isaacs equation is derived. The game solution is visualized for the case of two evaders. Numerical simulation results are presented.