Subsystem interconnection and near optimum control of discrete balanced systems

Author

Al-saggaf, Ubaid M.

Author_Institution

Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

Volume

37

Issue

7

fYear

1992

fDate

7/1/1992 12:00:00 AM

Firstpage

1026

Lastpage

1033

Abstract

The relationship between subsystem interconnection of discrete balanced systems and the Hankel singular values is explored. Upper bounds on the spectral norm of the submatrices of the discrete balanced representation are derived by approximating the matrix Riccati equation by its power series expansion with respect to two scalar parameters related to the Hankel singular values. For diagonalizable symmetric discrete-time systems, the relation between the eigenvalues of the subsystems and the eigenvalues of the overall system is explored. It is shown that an upper bound on the distance between corresponding eigenvalues in these two sets is related to the ratio of the Hankel singular values

Keywords

discrete systems; eigenvalues and eigenfunctions; large-scale systems; matrix algebra; optimal control; Hankel singular values; diagonalizable symmetric discrete-time systems; discrete balanced systems; eigenvalues; large scale systems; matrix Riccati equation; near optimum control; power series expansion; spectral norm; submatrices; subsystem interconnection; Control systems; Controllability; Digital filters; Eigenvalues and eigenfunctions; Observability; Power system modeling; Quantization; Regulators; Riccati equations; Upper bound;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.148364

Filename

148364