H∞-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies.

ABSTRACT: The paper investigates a leader-following scheme for nonlinear multi-agent systems (MASs). The network of agents involves time-delay, unknown leader's states, external perturbations, and switching graph topologies. Two distributed protocols including a consensus protocol and an observer are utilized to reconstruct the unavailable states of the leader in a network of agents. The H∞-based stability conditions for estimation and consensus problems are obtained in the framework of linear-matrix inequalities (LMIs) and the Lyapunov-Krasovskii approach. It is ensured that each agent achieves the leader-following agreement asymptotically. Moreover, the robustness of the control policy concerning a gain perturbation is guaranteed. Simulation results are performed to assess the suggested schemes. I

SUBMITTER: Taghieh A 

PROVIDER: S-EPMC9049309 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature