Finite-time convergence of group flocking for multi-agent systems with mismatched/matched disturbances
In this study, the problem of grouping motion for a second-order multi-agent network with both matched disturbances and mismatched disturbances is investigated, and finite-time convergent algorithm of the dynamic system is proposed. By designing the disturbance observers to eliminate disturbances in the multi-agent systems, a compound communication protocol with active disturbance compensation is presented by means of the sliding-mode control. By applying finite-time stable theory and input-to-state stable theory, the finite-time group convergence of multi-agent systems with multiple disturbances is analysed, and group flocking can be achieved asymptotically with the cooperative controller. The numerical simulations demonstrate the validity of the results.