Hybrid event- and time-triggered control for double-integrator heterogeneous networks

Abstract

This paper investigates the state consensus for double-integrator networks under heterogeneous interaction topologies. For double-integrator networks, the setting of heterogeneous topologies means that position and velocity information flows are modeled by two different graphs. The corresponding protocol proposed in this paper is based on edge-event-triggered control. The events based on position information are irrelevant to velocity information and independent of the events based on velocity information. And for different edges, the corresponding events are activated independently of each other. Once an event occurs, the agents connected by the associated edge will sample their corresponding relative state information and update their corresponding controllers. Furthermore, under the presented event-triggering rules, the state consensus of double-integrator networks can be achieved by designing appropriate parameters. In addition, the proposed protocol with the event-triggering rules can effectively improve the system performance and avoid the occurrence of Zeno behaviors. Finally, a simulation example is worked out to verify the theoretical analysis.

Variable-sampling-period dependent global stabilization of delayed memristive neural networks based on refined switching event-triggered control

“…In addition, several other event-trigger mechanisms such as threshold-dependent ETC and sampled-based ETC, have been proposed. For more details, interested readers refer to [26][27][28][29][30][31][32] and the references cited therein.…”

Network‐to‐network bipartite consensus under event‐triggered control over heterogeneous topologies

“…For multi-agent systems, researches on event-triggered consensus control have made considerable progress [8][9][10][11][12][13]. A decentralized event-triggered cooperative control mechanism for first-order multi-agent systems associated with undirected connected graphs was proposed in Dimarogonas et al [8].…”

“…Note that the references [8][9][10] were devoted to state-dependent event-triggered control for multi-agent systems. A time-dependent event-triggered control mechanism was proposed in Seyboth et al [11] for networks of single-integrator agents and networks of double-integrator agents, while Duan et al [12] investigate an edge-event-triggered control mechanism for second-order multi-agent systems under heterogeneous topologies. For high-order nonlinear multi-agent systems, the distributed event-triggered control mechanism was explored in Yang et al [13] to solve observer-based leader-following output consensus problem.…”

Rotating consensus control of double-integrator multi-agent systems with event-based communication

“…As an important extension of the static event-triggered control, a new dynamic event-triggered control approach was proposed to address the consensus problem in [18]. Other related results on these topics can be found in [19][20][21][22][23].…”