Stability of Sampled-data Systems with Uncertain Time-varying Delays and Its Application to Consensus Control of Multi-agent Systems

Abstract

In this paper, we propose a new stability condition for sampled-data systems with uncertain time-varying delays less than a sampling interval. The derivation is based on the robustness of the corresponding discrete-time systems subject to perturbation caused by an uncertain time-varying delay. Then, we apply the proposed stability condition to a consensus control problem of two-wheeled robots. Numerical simulations and experiments show the validity and usefulness of the derived condition.