Balanced reduction of high-dimensional mechanical systems: a block-balancing approach

Author

Wortelboer, Pepijn M R

Author_Institution

Philips Res. Lab., Eindhoven, Netherlands

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1974

Abstract

An efficient scheme for balanced reduction of high-dimensional models of lightly damped mechanical systems is developed. Given a modal realization, closed-form solutions of the reachability and observability Gramians exist that are only block-diagonalized by means of a subspace iteration. The subspace dimension is based on the Gramian diagonals. This iteration has rapid convergence for most lightly damped systems and gives accurate reduction results even for (almost) nonminimal systems. The block-balancing algorithm is especially suited for Hankel norm calculation

Keywords

controllability; iterative methods; multidimensional systems; observability; Gramian diagonals; Hankel norm; balanced reduction; block-balancing; convergence; high-dimensional mechanical systems; iterative method; lightly damped mechanical systems; observability; reachability; Closed-form solution; Control system synthesis; Convergence; Damping; Eigenvalues and eigenfunctions; Frequency estimation; Laboratories; Lighting control; Mechanical systems; Observability; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261762

Filename

261762