טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentLevinson Sergei
SubjectTrajectory Shaping and Terminal Guidance for Tactical
Missiles using Linear Quadratic Differential Games
DepartmentDepartment of Aerospace Engineering
Supervisors Professor Yoseph Ben-Asher
Dr. Haim Weiss


Abstract

This 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.