ADMM based Distributed State Observer Design under Sparse Sensor Attacks

TL;DR

This paper develops an ADMM-based distributed state observer for discrete-time LTI systems that can withstand sparse sensor attacks, ensuring convergence to the true state despite adversarial corruptions.

Contribution

It introduces a novel ADMM-based algorithm for distributed state estimation resilient to sparse sensor attacks in networked LTI systems.

Findings

Ensures asymptotic convergence of observers to the true state.

Handles sparse sensor attacks effectively.

Provides a scalable distributed estimation method.

Abstract

This paper considers the design of a distributed state-observer for discrete-time Linear Time-Invariant (LTI) systems in the presence of sensor attacks. We assume there is a network of observer nodes, communicating with each other over an undirected graph, each with partial measurements of the output corrupted by some adversarial attack. We address the case of sparse attacks where the attacker targets a small subset of sensors. An algorithm based on Alternating Direction Method of Multipliers (ADMM) is developed which provides an update law for each observer which ensures convergence of each observer node to the actual state asymptotically.