This method demonstrates a solution for linear quadratic optimization problems with boundary conditions, indicating the application in vehicle motion control.
Key Points
This research focuses on solving linear quadratic optimization problems subject to boundary conditions on control actions.
Developed an extended functional for the quadratic functional.
Derived the Euler-Lagrange equation with boundary conditions.
Applied the sweep method to solve the optimization problem.
Successfully constructed control actions and program trajectories over specified time intervals.
Illustrated results through an example involving vertical motion of a flying vehicle.