Adaptive Observer-Based Synchronization For a Class of Fractional-Order Nonlinear Systems Subject to Unknown Inputs

The synchronization of a fractional-order drive-response configuration system is addressed in this study. A slave fractional order adaptive observer system is designed in order to synchronize with a particular master fractional chaotic system whose dynamical model is exposed to unknown inputs data. Based on the stability theorem of Lyapunov, a fractional-order adaptation law is derived to estimate the unknown inputs,the observation and estimation errors stability is analyzed. To validate the benefits of the novel synchronization approach an application example to fractional-order Chua system is presented.