Necessary and sufficient conditions for robust observability of a class of discrete-time uncertain systems

Author

Moheimani, S. O Reza ; Savkin, Andrey V. ; Petersen, Ian R.

Author_Institution

Sch. of Electr. Eng., Australian Defence Force Acad., Canberra, ACT, Australia

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1468

Abstract

This paper considers the problem of robust observability for a class of uncertain discrete-time systems. The uncertainty is modelled via a sum quadratic constraint. A necessary and sufficient condition for robust observability is presented in terms of existence of a solution to a Riccati difference equation. The set of possible initial states given measurements over a finite number of sampling periods is shown to be an ellipsoid. The main result of this paper can be considered as an extension to the standard notion of observability for discrete-time, linear time-varying systems

Keywords

Riccati equations; difference equations; discrete time systems; linear systems; nonlinear differential equations; observability; time-varying systems; uncertain systems; Riccati difference equation; discrete-time systems; ellipsoid; linear systems; necessary condition; robust observability; sampling periods; sufficient condition; sum quadratic constraint; time-varying systems; uncertain systems; Difference equations; Ellipsoids; Observability; Riccati equations; Robustness; Sampling methods; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572722

Filename

572722