Sensor location in feedback control of partial differential equation systems

Author

Faulds, Anthony L. ; King, Belinda B.

Author_Institution

Interdisciplinary Center for Appl. Math., Virginia Tech., Blacksburg, VA, USA

fYear

2000

fDate

2000

Firstpage

536

Lastpage

541

Abstract

The task of placing sensors for purposes of feedback control is vital in order to obtain information necessary for accurate state estimation. We present a method for optimal location of sensors which is motivated by the feedback control law for the distributed parameter system. In particular, we show how feedback functional gains reflect spatial regions over which accurate information is paramount for control. We use this information in an algorithm which computes centroidal Voronoi tesselations, yielding optimal locations for sensors. This placement is compared with three others to show that location can be more important than number of sensors

Keywords

compensation; computational geometry; control system synthesis; distributed parameter systems; feedback; partial differential equations; state estimation; centroidal Voronoi tesselations; feedback control; feedback functional gains; optimal sensor location; partial differential equation systems; spatial regions; Distributed parameter systems; Feedback control; Integral equations; Intelligent sensors; Mathematics; Micromechanical devices; Partial differential equations; Sensor systems; State estimation; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on

Conference_Location

Anchorage, AK

Print_ISBN

0-7803-6562-3

Type

conf

DOI

10.1109/CCA.2000.897480

Filename

897480