Numerically tractable stability tests for 2-D singular discrete-time systems

Author

Caldeira, Andre F. ; Coutinho, Daniel ; de Souza, Carlos E. ; Leite, Valter J. S.

Author_Institution

Grad. Program on Syst. & Control Eng. (PPGEAS), Univ. Fed. de Santa Catarina (UFSC), Florianopolis, Brazil

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

3391

Lastpage

3396

Abstract

This paper presents numerically tractable strict and non-strict linear matrix inequality conditions to the internal stability analysis of 2-D singular discrete-time systems. Two classes of 2-D singular systems are considered: (i) a general singular Fornasini-Marchesini model, and (ii) a singular Roesser model. In addition, the proposed conditions also guarantee that the 2-D singular system is acceptable and jump modes free. Numerical examples are presented to illustrate the proposed approach.

Keywords

discrete time systems; linear matrix inequalities; stability; 2D singular discrete-time system; general singular Fornasini-Marchesini model; internal stability analysis; linear matrix inequality conditions; numerically tractable stability test; singular Roesser model; Boundary conditions; Linear matrix inequalities; Numerical models; Numerical stability; Stability analysis; Structural engineering; Symmetric matrices; Acceptability; Internal stability; Jump modes free; Singular systems; Structural stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760402

Filename

6760402