Distributed Observer-based Quantized Consensus Control for Discrete-time Linear Multi-agent Systems

This paper studies the consensus problem of multi-agent systems in directed interaction topologies with quantized communication. For the case where the agent dynamics is assumed to be general linear system and each agent has access to the local output information, the observer-based protocols with quantized information are adopted; both the full output quantization fashion and the partial output quantization fashion are considered, respectively. It is proved that with appropriate control feedback matrices, the consensus can be achieved under the quantization constraints. Numerical examples are also provided to verify the theoretical results.