Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance

5Four Degrees-of-Freedom (DOF) Simulation Model for Missile Guidance and Control Systems

Nomenclature

x_ij = x_i − x_j:

is the x position of vehicle i w.r.t. j in fixed axis.

y_ij = y_i − j_j:

is the y position of vehicle i w.r.t. j in fixed axis.

z_ij = z_i − z_j:

is the z position of vehicle i w.r.t. j in fixed axis.

u_ij = u_i − u_j:

is the x velocity of vehicle i w.r.t. j in fixed axis.

v_ij = v_i − v_j:

is the y velocity of vehicle i w.r.t. j in fixed axis.

w_ij = w_i − w_j:

is the x velocity of vehicle i w.r.t. j in fixed axis.

is the x acceleration of vehicle i w.r.t. j in fixed axis.

is the y acceleration of vehicle i w.r.t. j in fixed axis.

is the z acceleration of vehicle i w.r.t. j in fixed axis.

are respectively the position, velocity, and acceleration vectors of vehicle i in fixed axis.

are respectively the position, velocity, and acceleration vectors of vehicle i w.r.t. j in fixed axis.

R_ij:

is the separation range of vehicle i w.r.t. j.

is the closing velocity of vehicle ...