Distributed Adaptive Fixed‐Time Dynamic Memory Event‐Triggered Consensus of Switched Nonlinear Multi‐Agent Systems With State and Input Delays

ABSTRACT

In this article, an adaptive fixed‐time event‐triggered (ET) consensus problem is investigated for switched nonlinear time‐delay multi‐agent systems (MASs) under directed graph. In the considered system, each agent's switching signal is allowed to be arbitrary and asynchronous. To solve the problem, a Lyapunov–Krasovskii function is utilized to analyze the effect of the time‐delay on system stability. In addition, the Pade approximation (PA) method is used to deal with the system input delay. Fuzzy logic systems (FLSs) are employed to approximate the unknown functions and a new adaptive fixed‐time control strategy with a dynamic memory event‐triggering mechanism (DMETM) is designed to achieve the consensus objective and save communication resources. It is proved that consensus errors of the controlled system are bounded within a fixed‐time, and the Zeno behavior does not exist. Finally, the effectiveness of the designed strategy is verified via a simulation example.