Robustly stabilizing controllers for strongly stabilizable and detectable infinite-dimensional systems

Author

Curtain, Ruth F. ; Oostveen, Job C.

Author_Institution

Dept. of Math., Groningen Univ., Netherlands

Volume

5

fYear

1999

fDate

1999

Firstpage

4274

Abstract

We solve the problem of robust stabilization with respect to normalized coprime factor perturbations for a class of infinite-dimensional systems with finite-rank, which are strongly stabilizable and detectable, but not exponentially stabilizable or detectable. The class includes dissipative distributed parameter systems with collocated actuators and sensors and in addition, certain hybrid flexible structure models with non-collocated sensors and actuators. Such systems typically have infinitely many unstable eigenvalues close to the imaginary axis

Keywords

actuators; distributed parameter systems; eigenvalues and eigenfunctions; matrix algebra; multidimensional systems; robust control; sensors; collocated actuators; collocated sensors; dissipative distributed parameter systems; finite-rank; imaginary axis; infinite-dimensional systems; normalized coprime factor perturbations; robustly stabilizing controllers; strongly detectable systems; strongly stabilizable systems; unstable eigenvalues; Actuators; Control systems; Eigenvalues and eigenfunctions; Filters; Flexible structures; Mathematics; Riccati equations; Robust control; Robustness; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833213

Filename

833213