Estimation of boundary value processes applied to shape determination of a circular antenna from observations on the boundary

Author

Leland, Robert Patton

Author_Institution

Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

2396

Abstract

An estimation algorithm for shape determination of a circular antenna is described. A space-based antenna would require light-weight materials, making it difficult to place sensors in the interior of the antenna. Hence, sensors on the outer rim are considered. Due to its rapid dynamics, the antenna achieves an equilibrium shape quickly. Therefore, static models for the antenna shape are considered. The antenna deformations are modeled as elliptic stochastic partial differential equations (PDEs) with boundary conditions that describe a noncausal system. A smoothing algorithm is developed for antenna shape estimation using a homogenized antenna model, described by a single PDE. Approximate Green functions used in the smoother are calculated, and digital simulation methods can be applied

Keywords

Green´s function methods; antenna theory; boundary-value problems; elliptic equations; parameter estimation; partial differential equations; satellite antennas; antenna deformations; approximate Green functions; boundary observations; boundary value process estimation; circular antenna; elliptic stochastic partial differential equations; homogenized antenna model; noncausal system; shape determination; smoothing algorithm; space-based antenna; Additive noise; Boundary conditions; Covariance matrix; Deformable models; Degradation; Digital simulation; Equations; Green function; Partial differential equations; Shape; Smoothing methods; Stochastic systems; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261618

Filename

261618