Indirect Measurements via a Polynomial Chaos Observer

Author

Smith, Anton H C ; Monti, Antonello ; Ponci, Ferdinanda

Author_Institution

Dept. of Electr. Eng., South Carolina Univ., Columbia, SC

Volume

56

Issue

3

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

743

Lastpage

752

Abstract

This paper proposes an innovative approach to designing algorithms for indirect measurements based on a polynomial chaos observer (PCO). A PCO allows the introduction and management of uncertainty in a process. The structure of this algorithm is based on the standard closed-loop structure of the observer that is originally introduced by Luenberger. This structure is extended here to formally include uncertainty in the measurement and in the model parameters. Possible applications of this structure are discussed

Keywords

DC-DC power convertors; chaos; closed loop systems; measurement uncertainty; observers; polynomials; Kalman filtering; Luenberger; closed-loop structure; designing algorithms; indirect measurements; model parameters; polynomial chaos observer; state-space method; stochastic system; uncertainty management; Algorithm design and analysis; Chaos; Magnetic sensors; Measurement uncertainty; Observability; Observers; Polynomials; Shape; State estimation; Uncertain systems; Kalman filtering; observability; observers; state-space method; stochastic system; uncertainty;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2007.894914

Filename

4201020