PARTIAL EIGENSTRUCTURE ASSIGNMENT FOR THE QUADRATIC PENCIL

It is shown in this paper that, by the appropriate choice of gain and input influence matrices, certain eigenpairs of a vibrating system may be assigned while the other eigenpairs remain unchanged. The system under consideration is modelled by a set of second order differential equations and the assignment is carried by multi-input state feedback control. The solution may be of particular interest in the stabilization and control of flexible structures using smart materials, where only a small part of the eigenstructure is to be reassigned and the rest is required to remain unchanged. The method presented is illustrated with a numerical example.