Adaptive event‐triggered consensus of singular multi‐agent systems based on asynchronous data sampling

Abstract This paper is devoted to the problem of event‐triggered consensus for a class of singular multi‐agent systems with nonlinear dynamics. Firstly, in consideration of the impossibility to reach all agents in some case, an observer is designed to access these agents' states. Secondly, a novel adaptive event‐triggered scheme is proposed based on asynchronous data sampling. In this scheme, the trigger parameter can be adjusted dynamically in order to reduce information transmissions among agents. Thirdly, by employing Lyapunov stability theory, a sufficient condition on the consensus of singular multi‐agent systems is obtained. Then, the control protocol and event‐triggering scheme are designed by solving a linear matrix inequality condition. Finally, an example is given to illustrate the proposed results.