Sojourn-probability-dependent H∞ control for networked switched systems under asynchronous switching

This paper considers H-infinity controller design for a class of networked switched discrete systems under asynchronous switching. The sojourn probability information - the probability of the switched systems staying in each subsystem - is first used to rebuild the networked switched systems. Also, a time-varying lag, depending on both the network-induced delays and switching signals, is taken into consideration between the switching instants of the controllers and systems model. By considering both sojourn probability information and asynchronous switching, a new kind of networked switched system model is proposed, wherein a set of random variables are proposed to describe the sojourn probabilities of the subsystems. Then, stability analysis and H-infinity performance analysis under asynchronous switching are derived. It should be noted that the system performance depends not only on the time-varying lag, but also on the sojourn probabilities. Finally, an example is given to illustrate the effectiveness of the proposed approach.