4.7 Article

On Convergence Rate of Leader-Following Consensus of Linear Multi-Agent Systems With Communication Noises

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 61, Issue 11, Pages 3586-3592

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2522647

Keywords

Convergence rate; leader-following consensus; multi-agent systems; noises; time-varying gain

Funding

  1. National Natural Science Foundation of China [61422310, 61370032, 61528301, 61421004, 61120106010]
  2. Beijing Natural Science Foundation [4162066]
  3. U.S. National Science Foundation [CMMI-1537729]
  4. Directorate For Engineering
  5. Div Of Civil, Mechanical, & Manufact Inn [1537729] Funding Source: National Science Foundation

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This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication noises. Therefore, the common assumption that all agents have the same noise-attenuation gain is not necessary. It has been proved that if all noise-attenuation gains are infinitesimal of the same order, then the mean square leader-following consensus can be reached. Furthermore, the convergence rate of the multi-agent system has been investigated. If the noise-attenuation gains belong to a class of functions which are bounded above and below by t(-beta) (beta is an element of (0, 1)) asymptotically, then the second-moment of the relative state between each follower agent and the leader agent is characterized by a function bounded above by t(-beta) asymptotically.

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