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Mathematical Problems in Engineering
Volume 2014, Article ID 352426, 6 pages
Research Article

State Estimator Design of Generalized Liu Systems with Application to Secure Communication and Its Circuit Realization

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

Received 8 October 2013; Revised 17 February 2014; Accepted 27 February 2014; Published 26 March 2014

Academic Editor: Xing-Gang Yan

Copyright © 2014 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 Liu system is firstly introduced and the state observation problem of such a system is explored. A simple state estimator for the generalized Liu system is developed to guarantee the global exponential stability of the resulting error system. Applications of proposed state estimator strategy to chaotic secure communication, circuit implementation, and numerical simulations are provided to show the effectiveness and feasibility of the obtained results. Besides, the guaranteed exponential convergence rate of the proposed state estimator and that of the proposed chaotic secure communication can be precisely calculated.