Bounded consensus tracking for sampled‐data second‐order multi‐agent systems with fixed and Markovian switching topology

Abstract

SUMMARYThis paper studies the bounded consensus tracking problems of second‐order multi‐agent systems with fixed and Markovian switching topology in a sampling setting. It is assumed that all the agents can only obtain the approximative value of the leader's acceleration instead of the actual value. Moreover, only a portion of agents can have the access to the leader and obtain the leader's position and velocity directly. By virtue of matrix analysis and perturbation theory, we present necessary and sufficient conditions for boundedness of tracking error system and show the ultimate bound of tracking errors under fixed and Markovian switching topology, respectively. Finally, a simulation example is given to illustrate the effectiveness of the results. Copyright © 2013 John Wiley & Sons, Ltd.

An overview of consensus problems in constrained multi-agent coordination

“…The finite-time consensus problem of heterogeneous multi-agent systems composed of first-order and second-order integrator agents was studied in Zheng and Wang (2012a) with and without velocity measurements. Some other results related with bounded consensus have been obtained, interested readers may refer to Zhong, Liu, and Thomas (2012), Xie (2013), Li and Fang (2012), Wang, Yan, and Wang (2013).…”

Output consensus for heterogeneous multiagent systems with Markovian switching network topologies

“…On the other hand, the environments under which multiagent systems operate are often interfered by random factors, giving rise to time‐varying agent communications in a stochastically switching form. Under this circumstance, consensus in mean square sense has been well studied for homogeneous multiagent systems, including first‐, second‐, and high‐order dynamics and general linear dynamics . However, to our best knowledge, there is no result available in open literature on output consensus of heterogeneous multiagent systems over stochastically switching topologies, which can often be used to model many practical systems.…”

Directed spanning tree–based adaptive protocols for second‐order consensus of multiagent systems

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