In this paper, we study the digital implementation of derivative-dependent control for consensus of the nth-order stochastic multi-agent systems. The consensus controllers that depend on the output and its derivatives up to the order n − 1 are approximated as delayed sampled-data controllers. For the consensus analysis, we propose novel Lyapunov-Krasovskii functionals to derive linear matrix inequalities (LMIs) that allow to find admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.
- Sampled-data control
- Stochastic multi-agent systems