Title :
A simple algorithm on minimal balanced realization for transfer function matrices
Author :
Yang, Cian-dong ; Yeh, F.-B.
Author_Institution :
Dept. of Aeronaut. & Astronaut., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
8/1/1989 12:00:00 AM
Abstract :
Given a transfer function matrix, it is shown that its minimal balanced realization can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on the close relationship of controllability and the observability gramians to the singular value decomposition of the associated infinite block Hankel matrix
Keywords :
controllability; matrix algebra; observability; polynomials; transfer functions; controllability; infinite block Hankel matrix; least common denominator polynomial; minimal balanced realization; observability gramians; singular value decomposition; singular values; singular vectors; transfer function matrices; Controllability; Mathematics; Matrix decomposition; Observability; Polynomials; Reduced order systems; Singular value decomposition; Symmetric matrices; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
