Modal control of large flexible space structures using collocated actuators and sensors

摘要

The authors consider the problem of assigning the eigenvalues associated with critical modes of a large flexible space structure into a specified region in the left-half plane via direct velocity feedback control (DVFC) using collocated actuators and sensors. Conditions for the existence of a DVFC using collocated actuators and sensors that can achieve the eigenvalue assignment are derived. When there exist nonunique feasible DVFCs, the one with least Frobenius norm feedback gain is determined. An experimental four-bay truss is used to illustrate the results.