Robust stabilization of switched systems with input saturation

This paper deals with the robust stabilization of switched systems with input saturation under arbitrarily switching sequences in the discrete-time domain. The proposed approach in this note detects the existence of a common Lyapunov function to check the asymptotic stability of the switched systems with input saturation under arbitrarily switching sequences. According to these conditions, the state feedback control law is given to ensure the robust stabilization of switched systems with input saturation. At last, a numerical example illustrates the feasibility and availability of theory.