Average-Consensus Filter of First-Order Multi-Agent Systems With Disturbances

Abstract

Average-consensus filter problem of assigned constant inputs is investigated for the first-order multi-agent systems with heterogeneous disturbances, and a proportional-integral consensus filter algorithm accompanied with disturbances' observers is designed. By using matrix theory and frequency-domain analysis, sufficient and necessary convergence conditions are obtained for our proposed algorithm without and with identical communication delay, respectively. Numerical simulations illustrate the correctness of theoretical results.