Finite-time H∞ bumpless transfer control for switched systems: A state-dependent switching approach

This paper addresses the finite-time H-infinity bumpless transfer control problem for switched systems. The main idea lies in designing a state-feedback controller with amplitude limitation and a state-dependent switching law to reduce control bumps caused by switching. First, a local bumpless transfer condition is proposed to limit the amplitude of switching controllers at switching points. Second, by introducing a state-dependent switching law, a prescribed finite-time H-infinity bumpless transfer control performance is attained even if it does not hold for each subsystem or system state remaining on a switching surface. Third, a sufficient condition verifying the solvability of finite-time H-infinity bumpless transfer control problem is established by resorting to multiple Lyapunov function method. Finally, the effectiveness of developed method is illustrated by a numerical example.