Decentralized H∞ state feedback control for a class of switched linear interconnected systems

The problem of decentralized H
∞
state feedback control for a class of large-scale systems made of switched linear systems is addressed. Using convex combinations approach, decentralized switching strategy and decentralized control laws are presented based on linear matrix inequalities. These switching strategy and control laws guarantee the global asymptotical stability of the controlled systems in the absence of disturbances. Moreover, a given disturbance attenuation level in the H
∞
sense can also be satisfied when there are disturbances. Finally, a numerical simulation is given, which illustrates the effectiveness of the design methods.