Fuzzy prediction-based feedback control of fractional order chaotic systems

In this paper, approaches to stabilize a fractional order chaotic system on its original equilibrium point are proposed using the Takagi-Sugeno (T-S) fuzzy models and prediction-based feedback controls. A sufficient condition of asymptotical stability for fractional order T-S fuzzy system is derived based on direct Lyapunov stability theory. The proposed approach offers a systematic design procedure for stabilizing a large class of fractional order chaotic systems in the literature about chaos research. The effectiveness of the approach is tested on fractional order Rossler system and fractional order Lorenz system. (C) 2015 Elsevier GmbH. All rights reserved.