Global and Semi-global Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Saturation- A Scale-free Protocol Design

Abstract

This paper studies regulated state synchronization of discrete-time homogeneous networks of non-introspective agents in presence of unknown non-uniform input delays. A scale free protocol is designed based on additional information exchange, which does not need any knowledge of the directed network topology and the spectrum of the associated Laplacian matrix. The proposed protocol is scalable and achieves state synchronization for any arbitrary number of agents. Meanwhile, an upper bound for the input delay tolerance is obtained, which explicitly depends on the agent dynamics.

Scale-free collaborative protocol design for state and regulated state synchronization of multi-agent systems with arbitrary fast convergence

“…Therefore, there exist a current research effort focusing on scalability of consensus laws. Recently, we have introduced a new generation of scale-free protocols for synchronization and almost synchronization of MAS, see [10,11] , where the agents are subject to input saturation and external disturbances, respectively. The scale-free framework, utilizing localized information exchange among the neighbors does not require any knowledge of the communication topology and the size of the network.…”

H2 Almost State Synchronization of Homogeneous Multi-agent Systems–A Scale-free Design

“…[12]), dynamic design ( [4], [21], [22], [24], [26], [28]), and the design with additional communication ( [7], [8], and [20]). Recently, scale-free collaborative protocol designs are developed for homogeneous and heterogeneous MAS [2,13] and for MAS subject to actuator saturation [9].…”

Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Delays: A Scale-Free Protocol Design

“…The solvability conditions are studied for general dynamic in [35] and [34]. Recently, scale-free collaborative protocol designs are developed for continuous-time heterogeneous MAS [23] and for homogeneous continues-time MAS with actuator saturation [17].…”