Distributed asynchronous event-triggered consensus of nonlinear multi-agent systems with disturbances: An extended dissipative approach

This paper investigates the distributed asynchronous event-triggered consensus problem for a class of nonlinear multi-agent systems. The extended dissipative performance index is introduced for solving the consensus problem with disturbances, which can provide H∞, L2−L∞, passivity and dissipative consensus performances by tuning weighting matrices, respectively. Based on model transformation, sufficient consensus conditions are developed and the desired consensus controllers are designed such that the extended dissipative performance can be achieved. Two illustrative examples are utilized to show the effectiveness of the established theoretical method.