Reachable set estimation of MASs with consensus performance under event-triggered scheme and semi-Markov switching topologies with partially unknown rates

Abstract

This article focuses on the issue of reachable set estimation(RSE) with the consensus performance for multi-agent systems(MASs) under event-triggered scheme(ETS) and semi-Markov switching topologies with partially unknown rates(SMST-PUR). Firstly, through model transformation, the consensus research of MASs can be converted to the closed-loop stability analysis problem, and a periodic sampling ETS is employed to reduce the frequency of information broadcasting by the behavior of communicating with neighbors at the special moments. Secondly, the Lyapunov–Krasovskii functions(LKFs) with state information of time delay are constructed, whose goal is to capture more dynamics of time delay that impact on the controller’s design. And a group of sufficient conditions in the aspect of linear matrix inequalities(LMIs) is derived to guarantee that the states of error system can be confined within a finite union of ellipsoid-like sets corresponding to each mode with consensus manifestation under the action of switching topology randomly governed by SMST-PUR. Simultaneously, the method of co-designing the consensus controller and the triggered matrices of ETS with RSE performance is depicted to save communication resources availably. Finally, a study case is utilized to verify the validity of the proposed method and the comparative results illustrate the advantages and effectiveness of the control algorithm designed in this paper.