|
Abstract
|
Fractional order dynamics and chaotics systems have been recently combined,
yielding interesting behaviours. In this paper, a novel integer order hyperchaotic
system is considered. Then, a fractional order hyperchaotic representation of
said system is proposed using a natural fractionalization. Two different linear
control methodologies to deal with the complexity which introduce such systems
are proposed. Those methods are able to modify the hyperchaotic behaviour of
the system and force it to move towards a fixed point; i.e. steady state. These
approaches give a general framework for taming such complex systems using
simple linear controllers. The main tools for analysing the controlled system are
Matignon stability criterion and RouthHurwitz test. Using a reliable numerical
simulation, the designed system is simulated to verify the theoretical analysis.
|