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

Lipo Mo | Zendy; Yintao Wang | Zendy; Tingting Pan | Zendy; Yikang Yang | Zendy

Open Access

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

Author(s) -

Lipo Mo,

Yintao Wang,

Tingting Pan,

Yikang Yang

Publication year - 2017

Publication title -

international journal of distributed sensor networks

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 53

eISSN - 1550-1477

pISSN - 1550-1329

DOI - 10.1177/1550147717726313

Subject(s) - network topology , computer science , consensus , topology (electrical circuits) , multi agent system , estimator , discrete time and continuous time , control theory (sociology) , matrix (chemical analysis) , minimum mean square error , mathematics , control (management) , statistics , materials science , combinatorics , artificial intelligence , composite material , operating system

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.

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