The objective of this paper is focused on solving the trajectory tracking problem of mobile manipulators using three different control strategies, they are: 1) minimum norm PID controller; 2) controller based on linear algebra; 3) sliding mode controller. The controllers are designed from the kinematic model, but they are tested by simulations in a kinematic model and also in a dynamic model to see their performance and robustness. The integral of the absolute value of the error (IAE) performance index is used to check the performance. Stability and errors convergence to zero for all controllers are also considered.