International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

A robust observer design for chaos synchronization of uncertain systems using LMI criterion

Xiaojue Ma
Department of Applied Mathematics and Applied Physics, Xi’an Institute of Post and Telecommunications, Xi’an, 710061, China. 
Email: [email protected]

  •  Accepted: 09 July 2008
  •  Published: 31 July 2008


In this paper, considering the effect of exoteric perturbation on system’s parameters, a robust observer, based on Lyapunov theory, is designed for the output synchronization of a class of uncertain systems when the full state vector is not available. With the help of LMI criterion and then using the MATLAB LMI Toolbox, the observer gain is derived, which can not only make the outputs of both master and slave systems reach H synchronization with the passage of time but also reduce the influence of the disturbance within a prescribed level. In the end, we take the perturbed Chua’s circuit as an example to illustrate that the proposed method is effective and quite robust against the effect of exoteric perturbation.


Key words: Chaos synchronization, the observer method, Lyapunov theory, linear matrix inequality (LMI), PACC: 0545.