|M.Sc Student||Levinson Sergei|
|Subject||Trajectory Shaping and Terminal Guidance for Tactical|
Missiles using Linear Quadratic Differential Games
|Department||Department of Aerospace Engineering||Supervisors||Professor Yoseph Ben-Asher|
|Dr. Haim Weiss|
research considers the utilization of linear quadratic optimization theory for
the solution of missile guidance problem. The associated cost function includes
a running cost on the state vector. This inclusion enables to develop a new and
effective way for trajectory shaping. General optimal control signal
decomposition is presented and the control signal components are established.
A new optimal guidance control decomposition strategy is then developed whereby
the terminal guidance phase is separated from the trajectory-shaping phase,
thus producing a sub-optimal control. Applications and advantages of the new
strategy to missile guidance against non-maneuvering and maneuvering targets
are discussed. The switching between the two guidance phases is validated.
A new formulation of linear quadratic differential game with penalty on the target estimation error is proposed for the noise-corrupted environment. This approach, together with the inclusion of a running cost on the state vector, enables to develop a new effective guidance law against smart targets. Numerical comparisons of the new guidance law with some representative guidance laws are performed in nonlinear realistic simulation. A significant improvement in the new guidance law's homing accuracy and robustness to target maneuver changes are presented.