Adaptive fuzzy bilinear feedback control design for synchronization of TS fuzzy bilinear generalized Lorenz system with uncertain parameters

In this Letter, we propose an adaptive fuzzy bilinear feedback control (FBFC) design for synchronization of Takagi–Sugeno (TS) fuzzy bilinear generalized Lorenz system (FBGLS) with uncertain parameters. The generalized Lorenz system (GLS) can be described to TS FBGLS. We design an adaptive synchronization scheme of the response system based on TS FBGLS, feedback control scheme and Lyapunov theory. Lyapunov theory is employed to guarantee the stability of error dynamic system and to derive the adaptive laws to estimate unknown parameters. Numerical example is given to demonstrate the validity of our proposed adaptive FBFC approach with comparative results for synchronization.