Communication constraints in the consensus problem: Time-varying logarithmic quantization

The continuous multi-agent systems with distributed discrete quantized sampled control are discussed in this paper. For the different structures of graphs, the consensus of the closed-loop systems is studied and sufficient conditions are given to ensure the consensus of the multi-agent systems. A time-varying logarithmic quantizer with dead-zone and saturate bound is first proposed in this paper to deal with the problem of communication constraints. Numerical simulations are presented to show the effectiveness of the main results.