Input-to-state stability for networked control system with predictive scheme

This paper studies the input-to-state stability (ISS) problem for a class of networked control systems (NCSs). The improved varying controller gain predictive scheme is used to compensate the effects of network-induced delays and packet dropouts. By introducing a new auxiliary variable and analyzing the relationship of the network-induced delays and packet dropouts between two consecutive sampling instants, the considered networked control system (NCS) is converted into a coupled switched system. Based on the small gain theorem, a novel stability criterion is proposed to guarantee the ISS property of the considered system. Compared with existing works in literature, the stability criterion obtained here is easier to test and is much less conservative. A numerical simulation is presented to show the effectiveness of the proposed method.