Accession Number : ADA315097

Title :   Linearized Kappa Guidance.

Descriptive Note : Final rept.,

Corporate Author : NAVAL SURFACE WARFARE CENTER DAHLGREN DIV VA

Personal Author(s) : Serakos, Demetrios ; Lin, Ching-Fang

PDF Url : ADA315097

Report Date : AUG 1996

Pagination or Media Count : 50

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.

Descriptors :   *METHODOLOGY, *COMPUTATIONS, *LINEARITY, *QUADRATIC EQUATIONS, *SURFACE TO AIR MISSILES, *MIDCOURSE GUIDANCE, VELOCITY, ALGORITHMS, LINEAR SYSTEMS, CONTROL, SIMULATION, ANGLES, OPTIMIZATION, GUIDED MISSILE TRAJECTORIES, INTERCEPTION, REGULATORS, COSTS, NONLINEAR SYSTEMS, SOLUTIONS(GENERAL), FEEDBACK, COORDINATES, TRAJECTORIES.

Subject Categories : Numerical Mathematics
      Navigation and Guidance
      Surface-launched Guided Missiles

Distribution Statement : APPROVED FOR PUBLIC RELEASE