Further Studies on Sampled-Data Consensus of Multi-Agent Systems With Communication Delays

To lower the computational burden and weaken the impact of uncertainties of controllers on system stability, a novel nonfragile sampled-data control scheme is presented for multi-agent systems (MASs) with communication delays. A modified looped-functional, where some matrices are not required to be positive, is introduced by fully utilizing the state information of some intervals. Furthermore, based on the constructed Lyapunov functional, together with the free weighting matrix method, the improved sufficient conditions for consensus of the MASs are derived in the form of linear matrix inequalities (LMIs). Finally, two numerical simulations are used to illustrate the better performance of the proposed methods than other existing literature.

Automated summary

A novel nonfragile sampled-data control scheme is presented for multi-agent systems with communication delays, aiming to reduce the computational burden and minimize the impact of controller uncertainties on system stability. By utilizing the state information of some intervals, a modified looped-functional is introduced, and the improved sufficient conditions for consensus of the MASs are derived in the form of linear matrix inequalities using the constructed Lyapunov functional and the free weighting matrix method. Two numerical simulations demonstrate the better performance of the proposed methods compared to existing literature.