Intermittent observer-based consensus control for multi-agent systems with switching topologies

Abstract

In this paper, we focus on the consensus problem for leaderless and leader-followers multi-agent systems with periodically intermittent control. The dynamics of each agent in the system is a linear system, and the interconnection topology among the agents is assumed to be switching. We assume that each agent can only share the outputs with its neighbours. Therefore, a class of distributed intermittent observer-based consensus protocols are proposed for each agent. First, in order to solve this problem, a parameter-dependent common Lyapunov function is constructed. Using this function, we prove that all agents can access a prescribed value, under the designed intermittent controller and observer, if there are suitable conditions on communication. Second, based on the investigation of the leader-following consensus problem, we design a new distributed intermittent observer-based protocol for each following agent. Finally, we provide an illustrative example to verify the effectiveness of the proposed approach.

Consensus for non‐linear multi‐agent systems modelled by PDEs based on spatial boundary communication

“…Substituting (6) into (11) yields V˙(t) < 0 for all non-zero e(x, t), which ensures the stability of the error system (4) according to stability theories, i.e. the multi-agent system (1) achieves consensus with (2) by Definition 1.…”

“…Consensus, as one of the most important dynamical behaviours of multi-agent systems has been extensively applied to engineering fields such as automatic control, secure communication, and signal and image processing [6]. Many important controllers have been proposed over the past few years such as cluster consensus control [7], adaptive consensus control [8], event-triggered consensus control [9,10], pinning control [11], intermittent observer-based consensus control [12], backstepping tracking control [13], distributed impulsive control [14], aperiodic sampled-data control [15], and H ∞ consensus [16]. Most works of the consensus control methods above consider no spatio-temporal characteristics.…”

Bipartite Synchronization of Multi-Agent Systems With Signed Graph Under Deception Attacks and Application in Speech Communication

“…Altafni first put forward the concept of bipartite synchronization of signed networks, that is, the states of nodes would eventually converge to two parts with the same and opposite modulus [11,12], where the consistency problem of signed network was transformed into a classical consistency problem only under the condition of balanced network structure. At present, there are many control methods to realize the bipartite synchronization of multi-agent systems with signed graph, such as state feedback control [13], sliding mode control [14], distributed control [15], intermittent control [16] and so on. Among them, there are many researches on pinning control, which sets key nodes and designs controllers to achieve control effect.…”