H∞ stabilization of fuzzy model based generalized Lorenz chaotic systems

In this study, the conditions of fuzzy model based H
∞
stabilization are presented to stabilize the generalized Lorenz chaotic systems in finite time T and with pre-specified exponential convergence rate. Let the fuzzy state feedback controller be the form of parallel distributed compensation (PDC) and be designed to achieve the finite-time stability for the closed-loop system. The concept of Lyapunov theory, finite-time stability, H
∞
control and LMI-based approach are employed to derive the main result. Finally, the simulation results have been shown the validity of the proposed method.