On the GPI balancing control of an uncertain Jeffcot rotor mode

In this article, we present an on-line piecewise perturbation identification approach, based on algebraic parameter identification methods, for the output feedback control of an unbalanced rotor model with unknown eccentricity parameters, unknown angular velocity and unknown mass. The eccentricity perturbation effects are regarded as unknown perturbations inputs that need to be approximately identified, in a local and online fashion, in order to properly compensate, from the available set of external force control inputs, for their periodic influence on the center of mass dynamics. An adaptive output trajectory tracking controller of the GPI type is proposed for actively balancing towards a desired steady state the perturbed rotor dynamics.