  In this paper, the finite-time control and bumpless transfer control are
investigated for switched systems under asynchronously switching. First, a
class of dynamic output feedback controllers are designed to stabilize the
switched system with measurable system outputs. Considering the improvement of
transient performance, the bumpless transfer control and finite-time control
are further studied in the controller design. To avoid the control bumps, a
practical filter is introduced to make the control signal smoother and
continuous. Furthermore, to derive a finite-time bounded system state over
short-time intervals, the finite-time analysis is considered in managing the
switching process with the average dwell time. New criteria are proposed to
analyze the finite-time stability and finite-time boundedness for the
closed-loop system and solvable conditions are newly proposed to optimize the
controller gain. Finally, the superiorities of the proposed method are
validated through an application to a boost converter.
