Robust Topology Identification and Control of LTI Networks

TL;DR

This paper introduces a robust method for identifying and controlling the topology of linear dynamic networks, combining adaptive feedback and sliding mode control to handle uncertainties and time-varying structures.

Contribution

It presents a novel scheme that ensures asymptotic follow-up of reference dynamics while robustly handling uncertainties in network topology.

Findings

Effective detection of link failures

Successful tracking of time-varying topology

Achieved dynamic synchronization in simulations

Abstract

This paper reports a robust scheme for topology identification and control of networks running on linear dynamics. In the proposed method, the unknown network is enforced to asymptotically follow a reference dynamics using the combination of Lyapunov based adaptive feedback input and sliding mode control. The adaptive part controls the dynamics by learning the network structure, while the sliding mode part rejects the input uncertainty. Simulation studies are presented in several scenarios (detection of link failure, tracking time varying topology, achieving dynamic synchronization) to give support to theoretical findings.