Adaptive Event-Triggered and Double-Quantized Consensus of Leader–Follower Multiagent Systems With Semi-Markovian Jump Parameters

In practice, many dynamical systems can be modeled by multiagent systems (MASs) with different operating modes. The consensus problem of leader–follower MASs with semi-Markovian jump parameters is investigated in this article. First, to save the bandwidth resources of the MASs, adaptive event-triggered communication and double quantization are introduced to design the consensus protocol, in which the event-triggered threshold is dynamically adjusted instead of being a constant, and not only the data from the agents to the consensus controller but also that from the controller to the agents, are both quantized. Next, a sufficient condition is established to ensure the stability of the consensus error system under the adaptive event-triggered condition, and then the consensus controller is developed by matrix inequality approach. Finally, a numeral example is given to demonstrate the effectiveness of the developed consensus controller.