LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation

In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in existence external perturbations and Lipchitz nonlinearities is presented. This manuscript aims to controller based on observer by linear matrix inequality method. The conditions guarantee asymptotical stability system Lyapunov theorem. parameters are obtained using inequalities, which make errors converge origin. effects nonlinear Lipschitz perturbation disturbances then reduced. Moreover, techniques investigated with an output function. main advantages suggested approach convergence estimation zero, closed-loop elimination nonlinearities. Furthermore, numerical examples used illustrate accuracy reliability proposed approaches.