CCE Faculty Articles
A Subspace Algorithm for Identifying 2-D CRSD Systems with Deterministic Inputs
Document Type
Article
Publication Title
IEEE Conference on Decision and Control and European Control Conference
Event Date/Location
Orlando, FL
Publication Date
12-2011
Abstract
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
First Page
6457
Last Page
6462
NSUWorks Citation
Ramos, Jose A.; Lopes dos Santos, Paulo; Alenany, Ahmed; and Shang, Helen, "A Subspace Algorithm for Identifying 2-D CRSD Systems with Deterministic Inputs" (2011). CCE Faculty Articles. 406.
https://nsuworks.nova.edu/gscis_facarticles/406
