Masters Theses

Abstract

"Optimal design and analysis of a multivariable regulator may be achieved in either the frequency or time domain. This paper describes the formulation of the matrix Riccati equation in the time domain and the Wiener-Hopf equation and the root-square-locus in the frequency domain. The necessary requirements which must be satisfied in order to achieve an optimal control vector when using a quadratic performance index are presented for both domains. The resultant optimal control vector is shown to be a linear function of the system state vector. The effect of the quadratic performance index weighting matrices on the optimal system closed-loop poles, as well as the importance of picking "good" weighting matrices, is shown in this paper. A computer cost comparison of the two techniques of obtaining the optimal closed-loop roots indicates a marked advantage of the time domain approach over the frequency domain approach for high order systems"--Abstract, page ii.

Advisor(s)

Crosby, Herbert A., 1926-1992

Committee Member(s)

Pazdera, John S., 1941-1974
Johnson, R. T. (Richard T.)

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

v, 70 pages

Rights

© 1971 Eugene Charles Machacek, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Signal processing -- Digital techniques
Time-domain analysis -- Computer simulation
Wiener-Hopf operators
Riccati equation -- Numerical solutions
Linear control systems

Thesis Number

T 2679

Print OCLC #

6038733

Electronic OCLC #

880426616

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