Control of Rössler using Fractional Order control

In order to control Rössler chaotic systems, a fractional controller has been presented. A combination of fractional derivative and an integer derivative in form of ss  constituted in this controller. This kind of controller, the system with integer derivatives is turned into a system with fractional ones. The idea is to develop the stability region of fractional system because of using the fractional derivative. A appropriate variety of the fraction parameter will also be considered to stabilize the closed loop system. The performance of the offered idea is illustrated concluded the simulation.

Keywords:

Chaotic system , Fractional order system , Rössler , Nonlinear dynamic