RobustH∞consensus control concerning second-order multi-agent systems with time-varying delays on dynamic topologies
Jia Liu, Zengqiang Chen · International Journal of Computer Mathematics · 2011
Robust H ∞ consensus control for second-order multi-agent systems is addressed. Considering the delayed directed networks with disturbances and uncertainty parameters on dynamic topologies, the consensus protocols are proposed and analysed. By constructing the common Lyapunov–Krasovkii functional, applying the Lyapunov–Krasovkii theory and integral inequality approach, the sufficient condition of consensus protocol convergence is derived, guaranteeing robust H ∞ consensus for given second-order multi-agent systems. Finally, numerical examples are provided to demonstrate the effectiveness of the main results.