Joseph Z. Ben-Asher is professor in the department of Aerospace Engineering at the Technion–Israel Institute of Technology, Israel. He will give a lecture on “Games in Aerospace: Homing Missile Guidance” on Wednesday, September 13th, 2017 from 11:00-12:00, MW 3618. The short description of the lecture is as follows:
The development of a homing missile guidance law against an intelligent adversary requires the solution to a differential game. First, we formulate a simple game to demonstrate the main ideas. Then we will formulate the deterministic homing guidance problem as a linear dynamic system with an indefinite quadratic performance criterion (LQ). This formulation allows the navigation ratio to be greater than three, which is obtained by the one sided linear-quadratic regulator and appears to be more realistic. However, this formulation does not allow for saturation in the actuators. A deterministic game allowing saturation is formulated and shown to be superior to the LQ guidance law, even though there is no control penalty. To improve the performance of the quadratic differential game solution in the presence of saturation, trajectory shaping feature is added.