Masters Theses

Abstract

"The variable gradient method of generating Liapunov functions has been used only for continuous systems. This thesis presents an application of the variable gradient method to non-linear sampled data control systems.
Certain modifications to the variable gradient method are developed and several examples are presented which demonstrate the application. An attempt was made to synthesize the control system parameters, but due to the complexity of the ΔV functions, the synthesis in general cannot easily be obtained . To circumvent the problem of determining if the ΔV functions are negative definite, a set of computer programs were written to determine a finite region of asymptotic stability in the state space. The nonlinear difference equations are solved for several initial conditions to test the region of stability. The region was found to be a valid region, but smaller than the true region"--Abstract, page ii.

Advisor(s)

Richards, Earl F., 1923-

Committee Member(s)

Joiner, James W., 1931-2013
Noack, Thomas L.
Rivers, Jack L.

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri at Rolla

Publication Date

1966

Pagination

vii, 101 pages

Note about bibliography

Includes bibliographical references (pages 99-100).

Rights

© 1966 Henry N. Peterson, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Lyapunov functions
Signal processing -- Digital techniques -- Mathematics
State-space methods

Thesis Number

T 1879

Print OCLC #

5973628

Electronic OCLC #

896879355

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