Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 830154, 25 pages
Research Article

Robust Finite-Time Control for Impulsive Switched Nonlinear Systems with State Delay

School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China

Received 20 June 2012; Revised 9 September 2012; Accepted 10 September 2012

Academic Editor: Zidong Wang

Copyright © 2012 Jian Guo 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.


This paper investigates robust finite-time control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time performance analysis for impulsive switched systems is developed, and a robust finite-time state feedback controller is proposed to guarantee that the resulting closed-loop system is finite-time bounded with disturbance attenuation. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.