Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 764798, 9 pages
Research Article

Nonlinear Observer Design of the Generalized Rössler Hyperchaotic Systems via DIL Methodology

Department of Electrical Engineering, I-Shou University, Kaohsiung 840, Taiwan

Received 29 February 2012; Accepted 13 April 2012

Academic Editor: Jun-Juh Yan

Copyright © 2012 Yeong-Jeu Sun. 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 generalized Rössler hyperchaotic systems are presented, and the state observation problem of such systems is investigated. Based on the differential inequality with Lyapunov methodology (DIL methodology), a nonlinear observer design for the generalized Rössler hyperchaotic systems is developed to guarantee the global exponential stability of the resulting error system. Meanwhile, the guaranteed exponential decay rate can be accurately estimated. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of proposed approach.