Abstract
In this paper, a fractional-order state feedback controller has been proposed to stabilize chaos. The fractional controller converts the system behaviour with integer derivatives into a system with fractional derivatives. This increases the degree of freedom of the system by means of providing the stability without need for such a pole placement technique. In addition, an integer state feedback controller is used to increase the rate of convergence. The proposed controller uses the benefit of both integer and fractional order controllers at the same time. The performance of the controller is shown via simulation on chaotic Genesio-Tesi system.