Finite-time input L2$$ {L}_2 $$ bumpless transfer control for switched systems with its application to aircraft model

This article addresses the finite-time (FT) input L2$$ {L}_2 $$ bumpless transfer (BT) control problem for switched systems. First, the performance of the input L2$$ {L}_2 $$ BT is described, quantifying the energy difference caused by the input signal jumps. The objective is to suppress large jumps during switching. Second, a sufficient evidence is established through the multiple Lyapunov functions method to ensure that the switched systems satisfy both the FT H infinity$$ {H}_{\infty } $$ property and input L2$$ {L}_2 $$ BT performance. Also, this evidence allows that the control issue may not be addressed by subsystems. Then, a switching controller and a switching rule are simultaneously constructed for purpose of addressing the issue of the FT input L2$$ {L}_2 $$ BT control for switched systems. Finally, an effective validation of the established control method is verified by an F$$ \mathrm{F} $$-18 aircraft model simulation.