Neighboring extremal guidance for systems with a piecewise linear controlThe neighboring extremal 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. This process leads to a feedback relationship between the control perturbation and the measured deviation from the nominal state. A simple example, the lunar launch problem, is used to demonstrate the validity of the guidance law. For model errors on the order of 5 percent, the results indicate that 5 percent errors occur in the final conditions.
Document ID
19920035220
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hull, David G. (Texas Univ. Austin, TX, United States)
Helfrich, Clifford E. (Texas, University Austin, United States)