ACTIVE VIBRATION CONTROL OF A 2-MASS SYSTEM USING MU-SYNTHESIS WITH ADESCRIPTOR FORM REPRESENTATION

A 2-mass system connected by a non-ideal shaft has resonance modes, an d it is difficult to design a controller suppressing the vibration in the face of parameter variation. This paper proposes a method of mu-sy nthesis based on the descriptor form representation to deal with param eter uncertainties independently. First, a class of parameter uncertai nty given in the descriptor form is considered, and the paper shows ho w to achieve robust stability and robust performance for this class of perturbed systems. Then this method is applied to a 2-mass system wit h parameter uncertainties of the torsional constant and the load inert ia. By using this method these two physical uncertainties are treated independently, and a controller is designed to achieve not only robust stability but also robust disturbance suppression. In addition, a two -degree-of-freedom control scheme is used to achieve a good transient response. Simulation results are presented to demonstrate the control effects.