Ellipsoidal invariant set of fractional order uncertain systems subject to actuator saturation and disturbance

The estimation on the domain of attraction for fractional order uncertain systems subject to saturating actuator is considered in this paper. The sufficient conditions on the asymptotic stability for the considered systems are constructed utilizing fractional order inequality and Lyapunov approach. The invariant sets for the considered systems with external disturbance is then achieved by adopting the obtained condition. All the proposed conditions are derived in terms of LMI constraints. Finally, two examples demonstrating the validity of the proposed method are provided.