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

Jose A. Ramos; Paulo Lopes dos Santos; Ahmed Alenany; Helen Shang

doi:10.1109/cdc.2011.6161299

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

Jose A. Ramos
, Paulo Lopes dos Santos
, Ahmed Alenany
, Helen Shang

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

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.

Original language	American English
Pages	6457-6462
Number of pages	6
DOIs	https://doi.org/10.1109/cdc.2011.6161299
State	Published - Dec 1 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference - Orlando, United States Duration: Dec 12 2011 → Dec 15 2011 https://ieeexplore.ieee.org/xpl/conhome/6149620/proceeding

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference
Country/Territory	United States
City	Orlando
Period	12/12/11 → 12/15/11
Internet address	https://ieeexplore.ieee.org/xpl/conhome/6149620/proceeding

ASJC Scopus Subject Areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Disciplines

Computer Sciences

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10.1109/cdc.2011.6161299

Cite this

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title = "A Subspace Algorithm for Identifying 2-D CRSD Systems with Deterministic Inputs",

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.",

author = "Ramos, \{Jose A.\} and \{Lopes dos Santos\}, Paulo and Ahmed Alenany and Helen Shang",

year = "2011",

month = dec,

day = "1",

doi = "10.1109/cdc.2011.6161299",

language = "American English",

pages = "6457--6462",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference ; Conference date: 12-12-2011 Through 15-12-2011",

url = "https://ieeexplore.ieee.org/xpl/conhome/6149620/proceeding",

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TY - CONF

T1 - A Subspace Algorithm for Identifying 2-D CRSD Systems with Deterministic Inputs

AU - Ramos, Jose A.

AU - Lopes dos Santos, Paulo

AU - Alenany, Ahmed

AU - Shang, Helen

PY - 2011/12/1

Y1 - 2011/12/1

N2 - 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.

AB - 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.

UR - https://nsuworks.nova.edu/gscis_facarticles/406

U2 - 10.1109/cdc.2011.6161299

DO - 10.1109/cdc.2011.6161299

M3 - Paper

SP - 6457

EP - 6462

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference

Y2 - 12 December 2011 through 15 December 2011

ER -

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

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