Accession Number:

ADA315097

Title:

Linearized Kappa Guidance.

Descriptive Note:

Final rept.,

Corporate Author:

NAVAL SURFACE WARFARE CENTER DAHLGREN DIV VA

Personal Author(s):

Report Date:

1996-08-01

Pagination or Media Count:

50.0

Abstract:

An alternative solution to the ic-guidance dynamical equations is presented in this report. K-guidance is a midcourse guidance algorithm which maximizes intercept velocity. The nonlinear k-guidance dynamical equations are linearized. The linearization is via a nonlinear coordinate transformation and nonlinear feedback. The cost function is approximated by a quadratic cost. The linear quadratic regulator LQR method is then used to solve the optimal control problem. A closed form solution to the LQR problem is derived for both the free and fixed final angle of approach cases. A simulation is conducted to compare the trajectories and costs of the linearized solution methed and the original solution method. The results show similar performance for the two methods.

Subject Categories:

  • Numerical Mathematics
  • Navigation and Guidance
  • Surface-Launched Guided Missiles

Distribution Statement:

APPROVED FOR PUBLIC RELEASE