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Discrete Dynamics in Nature and Society
Volume 2010, Article ID 948590, 10 pages
Research Article

Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI

Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41101, Taiwan

Received 1 September 2009; Revised 23 February 2010; Accepted 21 April 2010

Academic Editor: Antonia Vecchio

Copyright © 2010 Neng-Sheng Pai and Her-Terng Yau. 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 focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to enforce the prespecified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.