Bisiacco, Mauro (Univ. of Padova), Valcher, Maria Elena (Univ. of Padova)

A Behavioral Approach to 2D Estimation Problem

Scheduled for presentation during the Mini-Symposium "Control, estimation, and identification in a behavioral setting" (FrP11), Friday, July 28, 2006, 15:20−15:45, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

In this paper we address the dead-beat estimation problem for the class of two-dimensional (2D) behaviors which are described by means of a 2D difference equation, and whose trajectory evolutions pertain the "nonnegative half-plane". For this class of behaviors, the concept of nilpotency is defined and fully characterized.

After this preliminary step, the estimation problem is formally addressed. Indeed, the concept of 2D dead-beat observer (DBO) of the system relevant variables from the system measured variables is introduced, and a set of necessary and sufficient conditions for the existence of such a DBO is given.

A complete parametrization of the family of all DBOs, together with a simple application of the theory here developed to the case of quarter-plane causal 2D state space models, conclude the paper.