Consensus of fractional-order multi-agent systems with uncertain topological structure: A Takagi-Sugeno fuzzy event-triggered control strategy

Abstract

In this paper, the consensus problem of fractional-order multi-agent systems (FOMASs) with uncertain topological structure via designed Takagi-Sugeno fuzzy event-triggered control is investigated. First, Takagi-Sugeno fuzzy event-triggered control for FOMASs is designed to effectively alleviate the congestion of communication capacity. Then, by utilizing the tools including Lyapunov function method, the fractional inequality technique and Laplace transform, some sufficient conditions for the consensus of FOMASs with uncertain topological structure are obtained, and a rigorous proof is given to exclude Zeno behavior for the designed Takagi-Sugeno fuzzy event-triggered control. Finally, two examples are given to not only illustrate the availability of the proposed approach but also show that the designed Takagi-Sugeno fuzzy event-triggered control in this paper is more effective than the previous methods.