H.G. González-Hernández, M.V. Álvarez-Ramírez, J. Álvarez-Gallegos, and J. Álvarez-Gallegos (Mexico)
Chaotic Behaviour, Nonlinear Control, Regulation,
Robustness, Discrete Systems .
In the last years there has been a lot of work dealing with
the solution of two particular problems: regulation and
tracking of chaotic systems. In this paper, a new idea for
controlling this kind of systems is proposed. Robust
control has been used for minimize the effect due to
disturbances or parametric uncertainties over the dynamic
behaviour of the controlled system, particularly over its
stability characteristics. The idea of introducing an
Internal Model Controller (IMC) for regulation of a
discrete chaotic system is developed here, as a first
approach in order to find suitable conditions for the
implementation of this technique for chaotic systems.
Simulation results are also shown for the Hénon system.