High-Order Polynomial Observer Design for Robust Adaptive Synchronization of Uncertain Fractional-Order Chaotic Systems

摘要: Our focus in this paper is to present a new procedure of designing high-order robust observer for chaos synchronization general class uncertain nonlinear system with fractional-order derivative, using an adaptive strategy together some parameter adjusting mechanisms. Some less stringent conditions the exponential and asymptotic stability control systems fractional order are derived. A criterion error obtained master–slave concept Lyapunov theory associated algebraic manipulations. The high polynomial which can guarantee closed loop also rejects effect perturbations on dynamics within prescribed level. findings research illustrated computer simulations problem Genesio–Tesi system. proposed approach offers systematic design large systems.