Differentially Private Consensus Under Quantized Communication with Dynamic Event-Triggered Mechanism

This study delves into the differentially private consensus problem in multi-agent systems (MASs), leveraging a dynamic event-triggered (DET) mechanism to ensure privacy-preserving consensus under a quantized communication setting. We develop a consensus algorithm for differential privacy communication that employs a uniform quantizer. This approach safeguards the agent's initial or present state against information leaks by relaying quantized data. To reduce the frequency of controller updates, a DET protocol, which is based on an auxiliary variable and local estimations, is implemented to control the data transmission. Subsequently, necessary criteria are established to guarantee mean square consensus performance when an unbounded quantizer is used. In conclusion, simulation examples are included to validate the results obtained.