"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.
Crosby, Herbert A., 1926-1992
Pazdera, John S., 1941-1974
Johnson, R. T. (Richard T.)
Electrical and Computer Engineering
M.S. in Electrical Engineering
University of Missouri--Rolla
v, 70 pages
© 1971 Eugene Charles Machacek, All rights reserved.
Thesis - Open Access
Signal processing -- Digital techniques
Time-domain analysis -- Computer simulation
Riccati equation -- Numerical solutions
Linear control systems
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Electronic OCLC #
Link to Catalog Record
Machacek, Eugene Charles, "A time and frequency domain approach to the optimization of linear multivariable regulators" (1971). Masters Theses. 5120.