A Time-Optimal Control Problem in Dynamics with Sampled Data

Citation

Radey, Kendrick (1962) A Time-Optimal Control Problem in Dynamics with Sampled Data. Engineer's thesis, California Institute of Technology. doi:10.7907/CXDE-J137. https://resolver.caltech.edu/CaltechETD:etd-12092005-132505

Abstract

A two-degree-of-freedom dynamical system has been analyzed to determine an optimum control sequence which will drive the dynamical system from an arbitrary initial position and velocity to one of a prescribed set of terminal position and velocity's in minimum time. The basic complexities are:

(1) that the forcing function can change only at discrete intervals of time, and
(2) that the prescribed terminal states allow a multiplicity of solutions to prevail.

A novel but not unique force program which is dependent upon the initial state of the system has been determined. This program consists essentially of the continuous application of a force of the proper sense and maximum allowable amplitude followed by a time during which no force is applied. This is followed by a time interval in which the forcing function has a maximum amplitude but is of the opposite sign to that used in the first part of the program.

Thesis Files