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Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances

Author

Listed:
  • Lipo Mo
  • Yintao Wang
  • Tingting Pan
  • Yikang Yang

Abstract

This article deals with the leader-following mean-square consensus problem of discrete-time general linear multi-agent systems with Markovian switching topologies and persistent disturbances. Assume that the communication topology is not connected at any time but the union topology is connected. First, the estimators are designed to calculate the states of agents when external disturbance not exists. Based on the error information between the truth-values and estimated-values of states, the compensators are proposed to subject to the effect of persistent disturbances. And then, a new mean-square consensus control protocol is proposed for each agent. Second, by using the property of permutation matrix, the original closed-loop system is transferred into an equivalent system. Third, sufficient conditions for mean-square consensus are obtained in the form of matrix inequalities. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Lipo Mo & Yintao Wang & Tingting Pan & Yikang Yang, 2017. "Mean-square consensus of discrete-time multi-agent systems with Markovian switching topologies and persistent disturbances," International Journal of Distributed Sensor Networks, , vol. 13(8), pages 15501477177, August.
    • Handle: RePEc:sae:intdis:v:13:y:2017:i:8:p:1550147717726313
    DOI: 10.1177/1550147717726313
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