Minimizing the truncation error in assumed modes models of structures

Author

Moheimani, S. O Reza ; Clark, Robert L.

Author_Institution

Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia

Volume

4

fYear

2000

fDate

2000

Firstpage

2398

Abstract

The assumed modes approach is a widely used technique in modeling of distributed systems. Such models often consist of a large number of modes. For controller design purposes these models are simplified by truncating the modes that lie out of the bandwidth of interest. Truncation can alter zeros of the system. This paper presents a method of minimizing the truncation error by adding a second order term to the truncated model. This extra term is determined such that the in-bandwidth error is minimized in an optimal H₂ sense. The technique is extended to multivariable systems

Keywords

H^∞ optimisation; control system synthesis; distributed control; minimisation; modelling; poles and zeros; roundoff errors; assumed modes models; controller design; distributed system modeling; in-bandwidth error; multivariable systems; optimal H₂ error minimization; second-order term; structure models; truncation error minimization; zeros; Acoustic beams; Bandwidth; Control design; Ducts; Finite wordlength effects; Frequency; MIMO; Materials science and technology; Mechanical engineering; Partial differential equations;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.878610

Filename

878610