Masters Theses

Seng Chu Chow

Abstract

"The problem formulation and the development of the H∞ optimal control theory are reviewed. Various H∞ robust controller design techniques, including both state and output feedback cases, together with a brief comparison and some remarks on these methodologies arc presented. Also included are a review of the controller order reduction alternatives and various balanced truncation model reduction methods.

A new model reduction technique with reduced error bound is proposed. This proposed technique introduces a new parameter which can be used to select the spectral norm of the model reduction error at low and high frequency ranges according to the designer's needs. Moreover, the upper bound of the model reduction error resulted from this proposed technique is significantly lower than those attainable by any of the existing balanced truncation techniques.

The concept of combined state and output feedback H∞ controller is also introduced. This proposed method yields an H∞ controller with order less than the order of the generalized plant. Corresponding to the modified closed-loop structure resulted from this method, the criteria for performance evaluation, namely the formulae for the sensitivity and the closed-loop transfer function are derived. Also, the definition of sensitivity of a multi-variable closed-loop system is generalized to the state-feedback case.

To demonstrate these proposed techniques, two practical examples are presented. The formulae derived together with the new theorems and lemmas are all verified"--Abstract, page iv.

Advisor(s)

Rao, Vittal S.

Committee Member(s)

Herrick, Thomas J.
Erickson, Kelvin T.
Book, Neil L.
Joiner, James W., 1931-2013

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

Spring 1991

Pagination

xi, 118 pages

Note about bibliography

Includes bibliographical references (pages 114-117).

Rights

© 1991 Seng Chu Chow, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 6197

Print OCLC #

24931638

Electronic OCLC #

1105559295

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