"This dissertation presents two network realization procedures using the state-space approach. The first procedure is the realization of a transfer function. A state model (A,B,C,D) is obtained from the given transfer function by inspection, where A is a companion matrix. Through a similarity transformation T, another state model (F,G,H,J) is obtained, where F is a tridiagonal matrix and can be realized by a RC-gyrator ladder network. The input source is inserted in the proper position of the ladder network, and the output is obtained through a summing circuit. It is a unified procedure and uses simple algebraic computation. A general expression of the similarity transformation T is derived for any order. It is a minimal realization.
The second procedure is the realization of an A matrix with a symmetrical lattice network. It is shown that the network functions of a symmetrical lattice network have a common factor in their numerators and denominators. Also, the eigenvalues of the A matrix are the poles and zeros of the driving-point functions. The A-matrix realization procedure is based on these properties. The synthesized network that consists of RC, RL , LC, or RLC elements depends on the locations of the eigenvalues of A. It is not a minimal realization "--Abstract, page ii.
Fowler, Eddie R.
Peirson, Robert C., 1943-
Bourquin, Jack J.
Tracey, James H.
Hatfield, Charles, 1920-1993
Electrical and Computer Engineering
Ph. D. in Electrical Engineering
National Science Foundation (U.S.)
University of Missouri--Rolla
viii, 118 pages
© 1974 Tien Hua, All rights reserved.
Dissertation - Open Access
Digital control systems -- Design
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Hua, Tien, "RC-gyrator ladder and RLC symmetrical lattice network synthesis - A state-space approach" (1974). Doctoral Dissertations. 312.