Robust Consensus of Fractional-Order Singular Uncertain Multi-Agent System Under Undirected Graph

This paper focuses on consensus analysis of fractional-order singular multi-agent systems(FOSMASs) with uncertainties. The definition of consensus or robust consensus of FOSMASs is proposed and the communication network topology is assumed to be an undirected graph. Through a coordinate transformation, the consensus of FOSMASs is converted into stability of fractional-order singular(FOS) linear systems. The consensus conditions are derived by some useful lemmas. Furthermore, the consensus conditions are expressed by linear matrix inequalities(LMIs) via SVD technique. Some simulation examples are given to show how to solve LMIs to get control gains. The simulation results display that the states of FOSMAS can achieve consensus by using the solved control gains.

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