Minimality, controllability and observability for uncertain systems

Author

Beck, Carolyn ; Andrea, Raffaello D.

Author_Institution

Dept. of Electr. Eng., Pittsburgh Univ., PA, USA

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3130

Abstract

A complete generalization of the notions of minimality, controllability and observability is presented for uncertain systems modelled by linear fractional transformations on structured operators. Both an algebraic perspective and a geometric perspective are given. The algebraic results include necessary and sufficient linear matrix inequality conditions for reducibility, and the development of structured controllability and observability matrices. The geometric approach involves a decomposition of the system variable space into reachable and unobservable subspaces. Both approaches lead to Kalman-like decomposition structures for uncertain systems

Keywords

controllability; matrix algebra; observability; uncertain systems; Kalman-like decomposition structures; LMI conditions; algebraic perspective; geometric perspective; linear fractional transformations; linear matrix inequality reducibility conditions; minimality; necessary and sufficient conditions; reachable subspace; structured controllability matrices; structured observability matrices; structured operators; system variable space decomposition; uncertain systems; unobservable subspace; Controllability; Error correction; Linear matrix inequalities; Matrix decomposition; Multidimensional systems; Observability; Reduced order systems; Robust control; Uncertain systems; Uncertainty;

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.1997.612035

Filename

612035