CaltechTHESIS
  A Caltech Library Service

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. http://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.

Item Type:Thesis (Engineer's thesis)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Mullin, F. J.
Thesis Committee:
  • Fung, Yuan-cheng
  • Stewart, Homer Joseph
Defense Date:1 January 1962
Record Number:CaltechETD:etd-12092005-132505
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-12092005-132505
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4905
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:12 Dec 2005
Last Modified:26 Dec 2012 03:12

Thesis Files

[img]
Preview
PDF (Radey_k_1962.pdf) - Final Version
See Usage Policy.

2315Kb

Repository Staff Only: item control page