Publication:
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

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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
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.
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