L-gain performance analysis for two-dimensional Roesser systems with persistent bounded disturbance and saturation nonlinearity

Choon Ki Ahn, Peng Shi, Ligang Wu

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The l-gain approach has been an essential tool in one-dimensional system theory. However, limited results have been presented in the literature for the two-dimensional (2-D) l-gain approach. This paper investigates the l-gain performance for 2-D systems in the Roesser model with persistent bounded disturbance input and saturation nonlinearity. A linear matrix inequality (LMI)-based condition is established to reduce the effect of persistent bounded disturbance input on 2-D systems within a given disturbance attenuation level based on the discrete Jensen inequality, lower bounds lemma, and diagonally dominant matrices. We apply the obtained results to the l-gain performance analysis for 2-D digital filters with saturation arithmetic.

Original languageEnglish
Pages (from-to)126-139
Number of pages14
JournalInformation Sciences
Volume333
DOIs
Publication statusPublished - 2016 Mar 10

Fingerprint

Two-dimensional Systems
System theory
Digital filters
Linear matrix inequalities
Performance Analysis
Saturation
Disturbance
Nonlinearity
2-D Systems
Diagonally Dominant Matrix
Jensen's inequality
Disturbance Attenuation
Digital Filter
One-dimensional System
Systems Theory
Matrix Inequality
Linear Inequalities
Lemma
Lower bound
Performance analysis

Keywords

  • l-gain performance
  • Robustness
  • Roesser model
  • Time-varying delays
  • Two-dimensional (2-D) system

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management

Cite this

L-gain performance analysis for two-dimensional Roesser systems with persistent bounded disturbance and saturation nonlinearity. / Ahn, Choon Ki; Shi, Peng; Wu, Ligang.

In: Information Sciences, Vol. 333, 10.03.2016, p. 126-139.

Research output: Contribution to journalArticle

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