Consensus and multi-consensus for discrete-time LTI systems☆

Existing consensus control algorithms for networked discrete-time linear systems have slow convergence to consensus trajectories due to limitations on the magnitude of the consensus gain. In this work we propose and analyze a new predictor-based consensus control protocol that recovers the positive features of the continuous-time counterpart in terms of arbitrary rate of convergence to the consensus dynamics. Moreover, it admits a distributed implementation based on multiple consensus steps. Our analysis concerns general weakly connected digraphs and it encompasses both single and multiple consensus. (c) 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).