Robust H∞ control for switched cascaded systems with time delay

In this paper, the robust H_∞ control problem for a class of uncertain switched nonlinear cascaded systems with time delay is studied. We achieve the sufficient conditions under which the considered switched system possesses the H_∞ performance for all admissible uncertainty under arbitrary switching. Moreover, we also develop the robust H_∞ control for such switched systems in terms of the state-driven switching method under a designed switching rule. This method can be suitable to cases, where all subsystems are unstable.