Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance

6Three-Party Differential Game Missile Guidance Simulation Study

Nomenclature

is the (3×1) position vector of vehicle i in fixed axis.

is the (3×1) velocity vector of vehicle i in fixed axis.

is the (3×1) acceleration vector of vehicle i in fixed axis.

is the (3×1) relative position vector of vehicle i w.r.t. vehicle j in fixed axis.

is the (3×1) relative position vector of vehicle i w.r.t. vehicle j in fixed axis.

I:

is the (3×3) identity matrix.

S:

is the final-state PI weightings matrix.

F:

is the state coefficient matrix.

G:

is the input coefficient matrix.

is the combined relative state vector for vehicle i w.r.t. j.

is the attacker 3 guidance input vector.

is the ...