Stability analysis and stabilisation for a class of 2-D nonlinear discrete systems

Author: Ye Shuxia   Wang Weiqun  

Publisher: Taylor & Francis Ltd

ISSN: 1464-5319

Source: International Journal of Systems Science, Vol.42, Iss.5, 2011-05, pp. : 839-851

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Abstract

This article is concerned with stability analysis and stabilisation problems for a class of two-dimensional (2-D) nonlinear discrete systems. First, the stability condition is derived for 2-D systems with nonlinearity by exploiting the Lyapunov method. Based on this result, a state feedback controller and an output feedback controller are designed to achieve stability for the closed-loop system. Next, H∞ controllers are given in terms of the linear matrix inequality (LMI). Finally, some numerical examples are used to illustrate the effectiveness of the results.

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