Finite-time H_∞ control for switched linear systems based on mode- dependent average dwell time

Considering switched linear systems with norm-bounded disturbances, the finite-time robust control problem is studied. Based on mode-dependent average dwell time, the sufficient condition is provided to guarantee the finite-time boundedness and H_∞ performance of the switched system. Compared with the single average dwell time scheme, the presented condition reduces the conservatism as each subsystem has its own average dwell time. The design algorithm of finite-time robust state feedback controllers is proposed in the form of an optimal problem involving linear matrix inequalities. A numerical example and contrastive simulations show that the freedom degree of switching signal design is increased by using the proposed method.