Cooperative stabilization of linear multi-agent systems with limited communication data rate

For the coordination of multi-agent systems with bandwidth limited digital channels, if there are unmeasurable states in agents' dynamics, then the integrative design of encoding-decoding and control schemes is required for the cooperative stabilization of the whole system. In this paper, the cooperative stabilization for linear discrete-time multi-agent systems is investigated with unmeasurable states and limited communication data rate. A quantized-observer based encoding-decoding and control protocol is proposed. It is shown that under mild conditions on the dynamics of agents and network topology graph, if the communication data rate is sufficiently large, then the dynamic network will achieve cooperative stabilization exponentially by properly choosing the control and observer gains.