Multiple-input active vibration control by partial pole placement using the method of receptances

•Multiple-input active vibration control.•Partial pole placement.•Assignment of eigenvalues and eigenvectors.•Method of receptances.

The paper addresses the problem of suppressing vibrations by active control. Conventional methods use a mathematical model, e.g. finite elements, as the foundations for the computations of the control gains. Such a model is known to contain inaccuracies and assumptions that may hinder the calculations. An alternative approach, advocated previously by the authors, is to design a controller using vibration measurements, in the form of receptances, typically available from a modal test. The methodology as originally formulated was limited to single-input control. In this paper new theory is described that is applicable to both single-input and multiple-input-multiple-output vibration control of practical engineering structures. The theory is supplemented by a series of illustrative numerical examples.