A new closed-loop controller for fractional order chaotic systems

The paper presents a new closed-loop controller to stabilize a kind of fractional order chaotic system to an equilibrium point. The proposed controller has simple structure and only two tuning parameters, and is designed easily. The proposed controller can stabilize the fractional order chaotic system in a very short time. Besides, the response time can be changed by tuning the time scaling factor a. To determine the control parameters, one needs only a little knowledge about the plant and therefore, the proposed controller is a suitable choice in the control of the fractional order chaotic systems. Numerical simulations based on fractional order chaotic system show the effectiveness of the method.