Admissible consensus tracking for descriptor multi-agent systems with exogenous disturbances

This paper is devoted to the problem of admissible consensus tracking for descriptor multi-agent systems with exogenous disturbances, where exogenous disturbances are generated by linear external systems. The dynamics of agents are modeled by continuous-time linear descriptor systems. And the topology of the agents is modeled by a directed graph. For the case of disturbances generated by the external system, the disturbance observer and admissible consensus protocol are proposed, and sufficient conditions for admissible consensus tracking are obtained based on the generalized Riccati equation. At last, a numerical simulation is provided to illustrate the effectiveness of the consensus protocol.