Consensus protocol for multiple delta operator systems

This paper considers the consensus problem for multiple delta operator systems. The delta operator system is used for describing continuous time processes at rapid rate sampling. Moreover, it has been known to have a better model description than that of shift-operator-based approach. In this work, the consensus problem is first solved for multiple delta operator systems by using a distributed protocol. To achieve consensus, several important sufficient conditions are proposed for the fast sampling systems based on the parameters of sampling period and consensus strength. In addition, two distributed consensus protocols are constructed for both leaderless multiple delta operator systems and leader–follower multiple delta operator systems. Finally, the effectiveness of the theoretical analysis is illustrated by applying distributed consensus protocol to multi-agent systems.