Finite-time anti-disturbance control for fractional-order switched systems with actuator saturation

This study explores the finite-time anti-disturbance control for fractional-order switched systems with actuator saturation. Control inputs are subject to saturation during both continuous time intervals and switching instants. Leveraging the average dwell time method and Lyapunov stability theory, we establish conditions ensuring the finite-time stability of the closed-loop system. Meanwhile, the controller gains can be obtained by solving linear matrix inequalities. In addition, the biggest attraction domain is obtained by solving the proposed optimization problem. Finally, a numerical example is provided to demonstrate the effectiveness of the designed controller.