Physics
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993rnog.nasa.....h&link_type=abstract
In its Robust Neighboring Optimal Guidance for the Advanced Launch System 11 p (SEE N93-22009 08-15)
Physics
Control Theory, Feedback Control, Lunar Launch, Optimal Control, Simulation, Spacecraft Guidance, Gravitation, Nonlinear Programming, Perturbation
Scientific paper
The neighboring optimal feedback control law is developed for systems with a piecewise linear control for the case where the optimal control is obtained by nonlinear programming techniques. To develop the control perturbation for a given deviation from the nominal path, the second variation is minimized subject to the constraint that the final conditions be satisfied (neighboring suboptimal control). This process leads to a feedback relationship between the control perturbation and the measured deviation from the nominal state. Neighboring suboptimal control is applied to the lunar launch problem. Two approaches, single optimization and multiple optimization for calculating the gains are used, and the gains are tested in a guidance simulation with a mismatch in the acceleration of gravity. Both approaches give acceptable results, but multiple optimization keeps the perturbed path closer to the nominal path.
Hull David G.
Nowak Michael J.
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