Flexible structure control by elgenstructure assignment

摘要

This paper presents a generalization to multi input of a technique used for designing control laws of single input flexible structures. The objective consists of assigning the eigenvalue motions due to (scalar) loop gain variations. In the single input case, phase is changed at some frequencies. In the proposed generalization, phase lead and lag is replaced by eigenvector "assignment" which consists of designing a dynamic feedforward having ad hoc eigenstructure. It remains to tune the scalar loop gain. The design problem considered is shown to reduce to solving a set of linear equalities and/or inequalities. A quadratic criterion which enables to minimize energy involved in assignment is also proposed.