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A Time-Optimal Control Problem in Dynamics with Sampled Data


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.


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)
Subject Keywords:Aeronautical engineering
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:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4905
Deposited By: Imported from ETD-db
Deposited On:12 Dec 2005
Last Modified:21 Dec 2019 03:53

Thesis Files

PDF (Radey_k_1962.pdf) - Final Version
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