Title :
Analysis of generalized guidance laws for homing missiles
Author :
Vathsal, S. ; Rao, M.N.
Author_Institution :
Directorate of Syst., Defence Res. & Dev. Lab., Hyderabad, India
fDate :
4/1/1995 12:00:00 AM
Abstract :
It is shown that the optimal guidance problem can be handled as a Bolza-type problem which can be solved by straightforward calculation. The solution proves to be different from that given by Yang, et al. (1989) and is verified to be a minimum performance index solution. Also presented is an alternate unified approach to the solution of the nonlinear system of differential equation of the generalized proportional navigation law discussed earlier by Yang, et al. This unified equation has been solved for all the different cases of proportional navigation for which closed-form solutions have been published by earlier authors.<>
Keywords :
minimisation; missile guidance; nonlinear differential equations; optimal control; partial differential equations; Bolza-type problem; closed-form solutions; differential equation; generalized guidance laws; generalized proportional navigation law; homing missiles; nonlinear system; proportional navigation; unified approach; Acceleration; Boundary conditions; Closed-form solution; Differential equations; Lagrangian functions; Missiles; Navigation; Nonlinear equations; Performance analysis; Research and development;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on