Article ID Journal Published Year Pages File Type
714499 IFAC Proceedings Volumes 2013 6 Pages PDF
Abstract

In this paper, a quantitative measure of partial observability is de_ned for PDEs. The quantity is proved to be consistent in well-posed approximation schemes. A first order approximation of an unobservability index using empirical gramian is introduced. For linear systems with full state observability, the empirical gramian is equivalent to the observability gramian in control theory. The consistency theorem is exemplified using a Burgers' equation.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics