Abstract: For formation control convergence problem of a group of nonholonomic mobile robots with multiple uncertainties, a multivariable fixed-time leader-follower formation control method based on radial basis function neural network (RBFNN)is proposed. Adaptive RBFNN is used to compensate for the multiple uncertainties of the system, eliminating the input chattering phenomenon of robust control. The control algorithm is designed using multivariable fixed-time control theory and Lyapunov method. The control method can guarantee the global fixed-time convergence of all the signals in the formation control system. With the presented fixed-time control scheme, the pre-designated mobile robot formation can be achieved within a fixed settling time under arbitrary initial system states. Simulation results demonstrate the effectiveness of the method.