Asynchronous event-triggered control of multi-agent systems with Sigma-Delta quantizer and packet losses

This paper investigates the consensus problem for event-triggered multi-agent systems (MAS) subject to external disturbances, time delays and packet losses as well as Sigma-Delta (ΣΔ) quantizer who has a finite number of quantization level simultaneously. Firstly, we transform this problem into a robust H∞ control by defining an appropriate controlled output. Secondly, we give a criteria to judge the consensusability of asynchronous event-triggered MAS and present a sufficient condition in terms of matrix inequalities to get the state feedback controller׳s parameters. Moreover, the maximal allowable number of successive packet losses is also given, and the algorithm designed here has made considerable contributions to save communication resources. Finally, numerical examples are given to show the effectiveness of the proposed consensus protocol.