Consensus for switched networks with unknown but bounded disturbances

TL;DR

This paper addresses the challenge of achieving consensus in networks of dynamic agents with switching topologies under unknown but bounded disturbances, introducing a new $$-consensus problem and providing solutions for convergence within a specified tube.

Contribution

It formulates and solves the $$-consensus problem for switched networks with disturbances, a novel approach in the field.

Findings

Proposed a new $$-consensus framework for disturbed networks.

Achieved asymptotic and finite-time convergence within a specified tube.

Extended consensus protocols to handle unknown bounded disturbances.

Abstract

We consider stationary consensus protocols for networks of dynamic agents with switching topologies. The measure of the neighbors' state is affected by Unknown But Bounded disturbances. Here the main contribution is the formulation and solution of what we call the $\epsilon$-consensus problem, where the states are required to converge in a tube of ray $\epsilon$ asymptotically or in finite time.