Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 738285, 13 pages
doi:10.1155/2011/738285
Research Article

Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems

Yali Dong,1 Shengwei Mei,2 and Jinying Liu1

1School of Science, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

Received 4 November 2010; Revised 7 January 2011; Accepted 10 January 2011

Academic Editor: Andrea Laforgia

Copyright © 2011 Yali Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Also, the synthesis of stabilization periodically intermittent state feedback controllers is present such that the close-loop system is exponentially stable. A simulation example is given to illustrate the effectiveness of the proposed approach.