Abstract
Abstract : The optimal control of a gliding parachute system descending at a constant rate is considered for the problem of minimizing the terminal distance from the target at touchdown. Utilizing the parachute bank angle as a control variable, two formulations are presented for the constrained and unconstrained control variable cases, each of which requires the solution to a nonlinear two point boundary value problem. Using the free descent path of the parachute as a nominal solution, a sub-optimal feedback control law is derived which approximates the solution to the unconstrained control variable cases. This control law requires an estimate of the wind vector, as well as measurements of the position and velocity of the parachute relative to the target and air respectively.
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