Admissible consensus tracking control for nonlinear singular multi-agent systems via sampled-data event-triggered mechanisms.

Abstract

This paper discusses the admissible consensus tracking problem for nonlinear singular multi-agent systems under sampled-data event-triggered mechanisms, where the nonlinear dynamics are unknown. In the sampled-data framework, both static and dynamic event-triggered mechanisms are designed based on the observers, and the dynamic event-triggered mechanism has superior performance. Moreover, in order to eliminate the effect of bounded consensus caused by the double estimation problem, this study proposes a distributed adaptive event-triggered control protocol. This protocol is designed to establish sufficient conditions for achieving admissible consensus tracking of singular multi-agent systems. Finally, the theoretical results are verified by three numerical examples.