Finite-time control of delay switched systems via input anti-bump switching.

This article devotes to the finite-time (FT) input anti-bump switching control (SC) issue for a kind of delay switched systems (DSSs). Our objective is to carry the FT control while bringing down possible large jumps in the control input. First, a formulation of the alleviation for the control signal jumps is given. Second, by the multiple Lyapunov-Krasovskii functions method, a sufficient criterion is developed to derive the DSSs to hold both the FT H∞ performance combined with the input anti-bump switching performance, capturing the dual objectives control of the switched system, both transient performance aims. Also, via this criterion, these two performances are admitted not to be held by subsystems. Then, a switching index in conjunction with a switching controller are simultaneously constructed to solve the problem of the FT input anti-bump SC of DSSs. Finally, through the simulation verification of an F-18 aircraft model, the validity of the method driven is illustrated.