Self-triggered Consensus of Multi-agent Systems with Quantized Relative State Measurements

TL;DR

This paper proposes a novel self-triggered consensus approach for multi-agent systems using quantized relative state measurements, ensuring asymptotic consensus with positive inter-event times.

Contribution

It introduces a joint design method combining quantization and self-triggered sampling, utilizing the zooming-in technique and Lambert W-function for explicit sampling time computation.

Findings

Achieves asymptotic consensus in multi-agent systems.

Ensures strictly positive inter-event times.

Effectiveness demonstrated through simulation.

Abstract

This paper addresses the consensus problem of first-order continuous-time multi-agent systems over undirected graphs. Each agent samples relative state measurements in a self-triggered fashion and transmits the sum of the measurements to its neighbors. Moreover, we use finite-level dynamic quantizers and apply the zooming-in technique. The proposed joint design method for quantization and self-triggered sampling achieves asymptotic consensus, and inter-event times are strictly positive. Sampling times are determined explicitly with iterative procedures including the computation of the Lambert $W$-function. A simulation example is provided to illustrate the effectiveness of the proposed method.