Masters Theses

Shing-Chou Pi

Abstract

"The problem undertaken in this thesis is to find a representation of a nonlinear controller to minimize the response time of a limited input plant whose transfer function has N negative real poles. The extension of the phase-space method to automatic control systems described by high-order differential equations with a general high-order input is considered.

The design utilizes a maximum effort controller whose switching time is determined by the concept of switching hypersurfaces of the system in N-dimensional phase space and the concept of a distance function, which is & geometric length between the initial state point and the switching hypersurface.

Examples with step and ramp inputs to third-order systems present the procedure to illustrate the concept of the switching hypersurface and distance function. From this distance function the sign of the output of the relay element is determined. The practical implementation of the system which illustrates the use of networks to generate the distance function is also discussed"--Abstract, p. ii

Advisor(s)

Chenoweth, Robert D.

Committee Member(s)

Richards, Earl F., 1923-
Joiner, James W., 1931-2010
Nelson, John August

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

vii, 64 pages

Note about bibliography

Includes bibliographical references (pages 62-63)

Rights

© 1964 Shing-Chou Pi, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1612

Print OCLC #

5959263

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