Bounded consensus of leader-following multi-agent systems with sampling delay for double-integrator dynamics

Abstract

The authors are concerned with the bounded consensus tracking problems of leader-following multi-agent systems with sampling delay for double-integrator dynamics. Based on the delay decomposition approach, the augmented matrix method and some other technologies, the necessary and sufficient conditions are obtained which guarantee that each agent can track the time-varying reference state of the virtual leader. Some numerical simulations are presented to illustrate the effectiveness of the theoretical results.

Power and Capacity Consensus Tracking of Distributed Battery Storage Systems in Modular Microgrids

“…Therefore, the necessary and sufficient condition for sampled-data power consensus tracking of distributed storages can be obtained as Equation (38) by simplification:…”

“…When m = 0, according to Equation (38), the range of the sampling period and sampling delay for system stabilization is: Exchange power between each module and microgrid is shown in Figure 11. When the system is stable, module 0 outputs 15 kW to microgrid, module 1 outputs 5 kW to microgrid, module 2 inputs 5 kW from microgrid and module 3 inputs 15 kW from microgrid.…”

“…When m = 0, according to Equation (38), the range of the sampling period and sampling delay for system stabilization is:…”

“…Sampling and communication delays always exist, which has a great influence on the stability and the convergence rate of multi-agent systems. We have carried out a series of theoretical researches on bounded consensus tracking of multi-agent systems with sampled-data [37,38], which lays a good foundation to design a power and capacity consensus tracking strategy for distributed battery storage in a modular microgrid.…”