Caltech Library System

About | Browse | Search | Caltech Student Instructions

Type of Document	Engineer's Thesis
Author	Radey, Kendrick
URN	etd-12092005-132505
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-12092005-132505
Title	A time-optimal control problem in dynamics with sampled data
Degree	Engineer's Degree
Option	Aeronautics
Advisory Committee	Advisor Name Title F. J. Mullin Committee Chair
Keywords	none
Date of Defense	1962-01-01
Availability	unrestricted
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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Radey_k_1962.pdf 2.37 Mb 00:10:58 00:05:38 00:04:56 00:02:28 00:00:12