Prediction - based feedback control of fractional order system

In this paper, we introduce a control algorithm based on the delayed feedback control method to stabilize a fractional order system on an unstable fixed point. The control input is defined as the difference between the future, and current state. The gain matrix is obtained using the pole placement method. To illustrate the effectiveness of the proposed algorithm, we give simulation results of the control of fractional chaotic Chuapsilas system.