Output Synchronization of Nonlinear Systems under Input Disturbances

TL;DR

This paper develops a distributed control law to achieve synchronization of nonlinear systems with input disturbances, including sinusoidal ones, demonstrating effectiveness through simulations and connecting to dynamic average consensus methods.

Contribution

The paper introduces a novel distributed control approach for nonlinear system synchronization under unknown sinusoidal disturbances, extending existing passivity-based methods.

Findings

Successful synchronization despite disturbances

Effective control law demonstrated via simulations

Connection to dynamic average consensus established

Abstract

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown phases and magnitudes and known frequencies. We design a distributed control law that recovers the synchronization of the nonlinear systems in the presence of the disturbances. Simulation results of Goodwin oscillators illustrate the effectiveness of the control law. Finally, we highlight the connection of the proposed control law to the dynamic average consensus estimator developed in [1].