Optimal control systems. Part I, Analysis : the methods of Pontryagin in the optimal control of second order oscillatory systems with discontinuities in the state variables
Authors
Nevius, William B.
Titus, Harold A.
Subjects
Advisors
Date of Issue
1963-06
Date
1963-06
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
It is the purpose of these two reports to demonstrate with
very simple systems, several applications of the optimization theory
of L. S. Pontryagin (1). An attempt to synthesize the control logic
using a modification of dynamic programming is developed,,
Part 1 presents the solution to the minimum time problem and
the minimum fuel problem for a second order system with one zero c
The zero causes discontinuities in the state variables . Control difficulties
are encountered when there are discontinuities in the error
states, but these are alleviated by a transformation to a system with
continuous variables. Optimum control of the transformed system is
then accomplished using the methods of Pontryagin „ The control
action is then related back to the original plant. Although the investigation
is concerned entirely with second order systems , the
methods are sufficiently general to be extended to higher order
systems with zeros. In part II an example of the extension is given,,
Also Part II presents various schemes for the synthesis of optimum
controls.
Type
Technical Report
Description
Series/Report No
Department
Organization
Operations Research (OR)
Graduate School of Operational and Information Sciences (GSOIS)
Identifiers
NPS Report Number
Naval Postgraduate School (U.S.) Research paper ; no. 37.
Sponsors
Office of Naval Research
Funder
Format
43 leaves ; 28 cm.
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.