Title :
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
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;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261618
