Data-Based System Representation and Synchronization for Multiagent Systems

TL;DR

This paper introduces data-driven methods for synchronizing continuous-time multiagent systems, applicable to both homogeneous and heterogeneous groups, without requiring detailed model knowledge, validated through simulations.

Contribution

It develops a data-based framework for synchronization error representation and control, extending stabilization techniques to heterogeneous systems without model information.

Findings

Data-based representation of synchronization error dynamics

Feasibility of linear matrix inequalities for stabilization

Successful validation via numerical simulation

Abstract

This paper presents novel solutions of the data-based synchronization problem for continuous-time multiagent systems. We consider the cases of homogeneous and heterogeneous systems. First, we obtain a data-based representation of the synchronization error dynamics for homogeneous systems and show how to extend existing data-based stabilization results to stabilize such error dynamics. The proposed method relies on the solution of a set of linear matrix inequalities that are shown to be feasible. Then, we solve the synchronization problem for heterogeneous systems by means of dynamic controllers. Different from existing results, we do not require model knowledge for the followers and the leader. The theoretical results are finally validated using a numerical simulation.