Fuzzy prediction-based feedback control of fractional order chaotic systems

Abstract

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 Rössler system and fractional order Lorenz system.