On modelling of segmented mirrors mounted on flexible supporting structures

Author

Barbieri, Enrique

Author_Institution

Dept. of Electr. Eng., Tulane Univ., New Orleans, LA, USA

fYear

1989

fDate

13-15 Dec 1989

Firstpage

710

Abstract

The main goals of this research are to formulate a frequency-matching problem as an exact inverse eigenvalue problem for Jacobi matrices, obtain a state-space representation of the mirror/cell structure, and design decentralized controllers for the push-pull mirror actuators. The interconnected mass-spring model used provides an exact match to the frequency distribution of the mirror/cell structure, and the algorithm does not involve any trial and error procedure. Preliminary results indicate that the model exhibits a decentralized structural characterization, which can be exploited to design local controllers for next-neighbor disturbance rejection

Keywords

actuators; control system analysis; control system synthesis; decentralised control; eigenvalues and eigenfunctions; Jacobi matrices; control system analysis; control system synthesis; decentralized controllers; exact inverse eigenvalue problem; flexible supporting structures; frequency-matching problem; interconnected mass-spring model; next-neighbor disturbance rejection; push-pull mirror actuators; segmented mirrors; state-space representation; Actuators; Assembly; Eigenvalues and eigenfunctions; Finite element methods; Force control; Frequency; Jacobian matrices; Mirrors; Springs; Telescopes;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70208

Filename

70208