Byzantine Resilience at Swarm Scale: A Decentralized Blocklist Protocol from Inter-robot Accusations
The Weighted-Mean Subsequence Reduced (W-MSR) algorithm, the state-of-the-art method for Byzantine-resilient design of decentralized multi-robot systems, is based on discarding outliers received over Linear Consensus Protocol (LCP). Although W-MSR provides theoretical guarantees relating network connectivity to the convergence of the underlying consensus, W-MSR comes with several limitations: the number of Byzantine robots, 𝐹 , to tolerate should be known a priori, each robot needs to maintain 2𝐹 + 1 neighbors, 𝐹 + 1 robots must independently make local measurements of the consensus property in order for the swarm’s decision to change, and W-MSR is specific to LCP and does not generalize to applications not implemented over LCP. In this work, we pro- pose a Decentralized Blocklist Protocol (DBP) based on inter-robot accusations. Accusations are made on the basis of locally-made observations of misbehavior, and once shared by cooperative robots across the network are used as input to a graph matching algorithm that computes a blocklist. DBP generalizes to applications not implemented via LCP, is adaptive to the number of Byzantine robots, and allows for fast information propagation through the multi- robot system while simultaneously reducing the required network connectivity relative to W-MSR. On LCP-type applications, DBP reduces the worst-case connectivity requirement of W-MSR from (2𝐹 + 1)-connected to (𝐹 + 1)-connected and the minimum number of cooperative observers required to propagate new information from 𝐹 + 1 to just 1 observer. We demonstrate that our approach to Byzantine resilience scales to hundreds of robots on target tracking, time synchronization, and localization case studies.
more »
« less
An official website of the United States government

