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Abstract and Applied Analysis
Volume 2013, Article ID 265473, 9 pages
Research Article

Nonfragile Robust Finite-Time - Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays

College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China

Received 21 December 2012; Revised 8 March 2013; Accepted 13 March 2013

Academic Editor: Jein-Shan Chen

Copyright © 2013 Jun Song and Shuping He. 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.


The nonfragile robust finite-time - control problem for a class of nonlinear uncertain systems with uncertainties and time-delays is considered. The nonlinear parameters are considered to satisfy the Lipschitz conditions and the exogenous disturbances are unknown but energy bounded. By using the Lyapunov function approach, the sufficient condition for the existence of nonfragile robust finite-time - controller is given in terms of linear matrix inequalities (LMIs). The finite-time controller is designed such that the resulting closed-loop system is finite-time bounded for all admissible uncertainties and satisfies the given - control index. Simulation results illustrate the validity of the proposed approach.