|
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.
E-mail:
mingkeming@126.com.
Accepted
9 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 L 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. |
