Spatial balanced model reduction for flexible structures

Author

Moheimani, S. O Reza ; Pota, Hemanshu R. ; Petersen, Ian R.

Author_Institution

Dept. of Electr. Eng., Australian Defence Force Acad., Campbell, Australia

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3098

Abstract

This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic duets, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H_∞ norm of the error system

Keywords

H^∞ control; distributed parameter systems; flexible structures; multidimensional systems; reduced order systems; H_∞ control; acoustic duets; distributed parameter systems; flexible structures; input vector; spatial balanced model reduction; state vector; upper bound; Acoustic beams; Controllability; Differential equations; Distributed parameter systems; Ducts; Flexible structures; Force measurement; Observability; Reduced order systems; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.612028

Filename

612028