Distributed Adaptive Tracking Control for Lur’e Systems With Event-Triggered Strategy

Abstract

This paper investigates the cooperative tracking control problem of multiagent systems where each agent is described as a Lur'e system. We first consider the case where the leader's control input is zero and design a distributed adaptive event-triggered protocol for the followers to track the leader. We then deal with the general case where the leader contains a bounded control input by proposing a novel event-based protocol, including a nonlinear term to restrain the effect of the leader's input. Both of the proposed event-triggered protocols can guarantee the uniform ultimate boundedness of the tracking error and the adaptive gains without the requirement of any global information of the network. The relationship between the upper bound of the tracking error and the controller parameters is explicitly derived.