CEC Faculty Articles

Title

A Subspace Algorithm for Identifying 2-D CRSD Systems with Deterministic Inputs

Event Date/Location

Orlando, FL

Document Type

Article

Date

12-2011

Publication Title

IEEE Conference on Decision and Control and European Control Conference

First Page

6457

Last Page

6462

Description

In this paper, the class of subspace system identification algorithms is used to derive a new identification algorithm for 2-D causal, recursive, and separable-in-denominator (CRSD) state space systems in the Roesser model form. The algorithm take a given deterministic input-output pair of 2-D signals and computes the system order (n) and system parameter matrices {A,B,C,D}. Since the CRSD model can be treated as two 1-D systems, the proposed algorithm first separates the vertical component from the state and output equations and then formulates an equivalent set of 1-D horizontal subspace equations. The solution to the horizontal subspace identification subproblem contains all the information necessary to compute the system order and parameter matrices, including those from the vertical subsystem.

DOI

10.1109/CDC.2011.6161299

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