Fixed-Time Containment Control for Nonlinear Multi-Agent Systems With External Disturbances

This brief investigates the fixed-time containment control (FTCC) of second-order disturbed nonlinear multi-agent systems (MASs). A new nonsingular terminal sliding mode (NTSM) control protocol is devised to ensure the FTCC for disturbed nonlinear MASs. A novel NTSM surface is correspondingly proposed to ensure the fixed-time convergence of the considered systems. The explicit estimation of settling time is given as well, which is irrespective of system initial values. Finally, one numerical example is presented to demonstrate the correctness of the proposed results.