  In this paper, a new approach to the problem of stabilizing a chaotic system
is presented. In this regard, stabilization is done by sustaining chaotic
properties of the system. Sustaining the chaotic properties has been mentioned
to be of importance in some areas such as biological systems. The problem of
stabilizing a chaotic singularly perturbed system will be addressed and a
solution will be proposed based on the OGY (Ott, Grebogi and Yorke)
methodology. For the OGY control, Poincare section of the system is defined on
its slow manifold. The multi-time scale property of the singularly perturbed
system is exploited to control the Poincare map with the slow scale time. Slow
scale time is adaptively estimated using a parameter estimation technique.
Control with slow time scale circumvents the need to observe the states. With
this strategy, the system remains chaotic and chaos identification is possible
with online calculation of lyapunov exponents. Using this strategy on
ecological system improves their control in three aspects. First that for
ecological systems sustaining the dynamical property is important to survival
of them. Second it removes the necessity of insertion of control action in each
sample time. And third it introduces the sufficient time for census.
