Distributed dynamic event‐triggered consensus of linear multiagent systems on time scales

Abstract This article focuses on consensus of linear multiagent systems (LMASs) on time scales via distributed dynamic event‐triggered control (DETC). First, distributed dynamic event‐triggered generators are established for LMASs on time scales, where the introduction of auxiliary variables can adjust their triggering thresholds and help reduce triggering frequency. Second, under the proposed dynamic event‐triggered mechanism (DETM), matrix inequality criteria are derived to guarantee that LMASs on time scales achieve consensus via the feedback controllers. Third, under the same DETM, a novel adaptive controller is proposed for each agent to achieve consensus under matrix inequality criteria, which includes the updating law and the maximum of the coupling strength. Additionally, it is demonstrated that Zeno behavior can be avoided for the closed‐loop systems with distributed event‐triggered feedback/adaptive controllers. Last but not least, theoretical results of LMASs on time scales can be applied to discrete‐time systems, continuous‐time systems and dynamic systems whose state intermittently changes in one time period and continuously evolves in another time period. The feasibility of the designed distributed dynamic event‐triggered feedback/adaptive controllers is verified by two simulation examples.