Masters Theses

Ping Liang

Abstract

"In control systems engineering it is frequently necessary to compensate a fixed plant whose transfer function cannot be changed. Usually the characteristics of the resulting system are established in terms of steady state and transient performance specifications. Generally it is necessary to insert a compensator which permits the system to satisfy the specifications as well as to provide an absolutely stable system.

In this thesis a method is developed to determine the transfer function of the compensator. Each system performance specification can be expressed in a differentiable inequality form composed of the system closed-loop gain, zeros, and poles. First, the number and approximate locations of the compensator poles and zeros are selected dependent upon the specifications. Second, the closed-loop transfer function corresponding to the controlled system with this estimated compensator can be obtained. Next the specifications are tested and if the first estimated compensator does not satisfy the specifications, then the Newton-Raphson method can be used to find a second approximate location of the compensator poles and zeros. Repetition of these steps several times will usually converge to a satisfactory solution.

Since all specifications used in this thesis are expressed with inequalities, and the solution of these inequalities is not unique, it is therefore possible to obtain many distinct compensators for the system that will satisfy the same specifications"--Abstract, p. ii

Advisor(s)

Robert D. Chenoweth

Committee Member(s)

Earl Richards
Illegible Signature
John A. Nelson

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1963

Pagination

vi, 59 pages

Note about bibliography

includes bibliographical references (page 58)

Rights

© 1963 Ping Liang, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1478

Print OCLC #

5950763

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