A development of advanced control methods based on robustness, optimality and prediction is an important and challenging task. In recent years, a new control approaches have emerged to replace or augment conventional control engineering methods. The paper presents: design, verification and comparison of three advanced methods (IMC, MPC, PLM) applied in the control of dynamic processes with complex dynamics. In this paper three different methods were tested and applied to the position control of pneumatic servodrives. The presented and tested methods guarantee robust stability and high performance of the pneumatic servodrives control.