Distributed containment control for second‐order multiagent systems with time delay and intermittent communication

Abstract

Summary This paper studies the containment control problem for second‐order multiagent systems with intermittent communications and time‐varying delays. Under the common assumption that each follower can only communicate with its neighbors over some disconnected time intervals, some distributed controllers are designed such that all the followers can converge to convex hull formed by the leaders. Firstly, a distributed intermittent control protocol without considering time delays is proposed for second‐order containment control with intermittent communications. Then, under delayed and intermittent communication, a kind of distributed containment control algorithm is derived for second‐order multiagent systems with time‐varying delays. Based on the Lyapunov function technology and the intermittent control method, some sufficient conditions are presented to guarantee that the second‐order multiagent systems can achieve intermittent containment control under fixed topology. As an extension, similar results are obtained for containment control under switching topology. Finally, numerical simulations are presented to demonstrate the theoretical analysis.

Distributed economic dispatch method for power system based on consensus

“…The authors of [33][34][35] study the time models (continuous time, discrete time and distributed probability stochastic models). The authors of [36,37] [39,40].…”

Formation‐Containment Control of Second‐Order Multiagent Systems via Intermittent Communication

“…In [25], Dong et al discussed the formationcontainment control with identical time-invariant delay in which agents received information all the time. In addition, Wang et al [39] investigated the containment control of second-order multiagent systems with multiple leaders and obtained the conditions for the agents under symmetric topologies and time-varying delay. Different above references, we consider the formation-containment control of second-order multiagent systems with different time-varying delays and gain the convergence conditions under general directed topology.…”

Delay-Induced Containment Control of Second-Order Multi-Agent Systems With Intermittent Sampled Position Data

“…In many cases, owing to some external factors, communication among autonomous agents is often discontinuous or intermittent. Under intermittent communication, the distributed containment control problem was investigated in [27], [28]. Note that the aforementioned studies on second-order containment control typically require velocity measurements.…”