An alternative solution to the kappa-guidance dynamic equations is presented in this paper The kappa-guidance is a midcourse guidance algorithm that maximizes intercept velocity. The nonlinear kappa-guidance dynamic 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 closed-form solution has not been derived for the original solution. A simulation is conducted to compare the trajectories and costs of the linearized solution versus the original solution. The results show similar performance between the two methods. References: 4
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