What's the difference between mpc_local_planner and teb_local_planner and dwa_local_planner?

[ruficol]

Why all three of them can be members of mpc, as you wrote it in the paper.
DWA
For example the dynamic window approach (DWA) [11] can be interpreted as a special receding horizon MPC scheme [12].
TEB
Another approach is the Timed-Elastic-Band (TEB) approach, which was originally derived as a scalarized multi-objective least squares optimization [13]. It can also be derived from a time-optimal control problem as shown in the right of Fig. 1.

[1] C. Rösmann, A. Makarow, and T. Bertram: Online Motion Planning based on Nonlinear Model Predictive Control with Non-Euclidean Rotation Groups, arXiv:2006.03534 '[cs.RO]', June 2020.