You will learn how proportional navigation and augmented proportional navigation are derived with optimal control methods. We cover the development of the problem statement, analytical solutions (in gritty detail), and limiting cases of control effort that leads to these well known laws.
Learn how the optimal control problem statement to derive proportional navigation is developed.
Learn how linear quadratic regulator theory can be applied to solve the engagement problem.
See a detailed analytical solution to obtain a general solution of the optimal control problem statement.
Learn how proportional navigation and rendezvous guidance are derived from the general optimal control solution.
Learn a new problem statement for an accelerating target.
See a step by step analytical solution to the optimal control problem for an accelerating target. Augmented proportional navigation is obtained.
Learn key differences between proportional navigation and its augmented form. Observe augment proportional navigation simulation results and its qualities.