Paper Title:
Output Feedback Control for Nonlinear 2-D Discrete Systems with Time-Varying State Delays
  Abstract

In this paper, we study stability analysis and stabilization problems for a class of nonlinear two-dimensional (2-D) discrete systems with time-varying state delays, described by local state-space (LSS) Fornasini-Marchesini (FM) second model. The upper and lower bounds of time-varying state delays are positive integers and the nonlinearity satisfies Lipschitz condition. First, a stability criteria is proposed through introducing a new Lyapunov function. Then a dynamic output feedback controller is designed to assure the stability of nonlinear 2-D time-varying systems. Moreover, the output feedback system matrices can be obtained by solving linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness of our results.

  Info
Periodical
Chapter
Chapter 3: Engineering Design Theory and Methodology
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
713-716
DOI
10.4028/www.scientific.net/AMM.101-102.713
Citation
X. H. Bi, D. Peng, "Output Feedback Control for Nonlinear 2-D Discrete Systems with Time-Varying State Delays", Applied Mechanics and Materials, Vols. 101-102, pp. 713-716, 2012
Online since
September 2011
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Price
$32.00
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