A First-Order H∞ Controller for Robust Vibration Suppression Control in Speed Control Systems considering Explicit Uncertainty

This paper describes a first-order H∞ speed controller which can well regulate load speed without torsional vibration for both speed reference and torque disturbance in a two-mass resonant system. To the strategy for reducing the order of the H∞ controller, the authors apply the state feedback compensation to modify an original resonant plant and disregard the dynamics of the modified plant considering robust stability criterion. Thus, the resulting H∞ controller in speed control systems can be reduced to the just first in order using the modified plant.