A New Approach to Design Interval Observers for Linear Systems

Author

Cacace, Filippo ; Germani, Alfredo ; Manes, Costanzo

Author_Institution

Univ. Campus Bio-Medico di Roma, Rome, Italy

Volume

60

Issue

6

fYear

2015

fDate

Jun-15

Firstpage

1665

Lastpage

1670

Abstract

Interval observers are dynamic systems that provide upper and lower bounds of the true state trajectories of systems. In this work we introduce a technique to design interval observers for linear systems affected by state and measurement disturbances, based on the Internal Positive Representations (IPRs) of systems, that exploits the order preserving property of positive systems. The method can be applied to both continuous and discrete time systems.

Keywords

continuous time systems; discrete time systems; linear systems; observers; IPR; continuous time system; discrete time system; dynamic systems; internal positive representations; interval observer design; linear systems; lower bounds; measurement disturbances; positive systems; state disturbances; state trajectories; upper bounds; Eigenvalues and eigenfunctions; Intellectual property; Linear matrix inequalities; Linear systems; Observers; Trajectory; Vectors; Linear system observers; Positive systems; Uncertain systems; positive systems; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2359714

Filename

6908993