Theory of the control of structures by low authority controllers

摘要: The novel idea presented is based on the observation that if a structure controlled by distributed systems of sensors and actuators with limited authority, i.e., controller allowed to modify only moderately natural modes frequencies structure, then it should be possible apply root perturbation techniques predict analytically behavior total system. Attention given formula first derived Jacobi for infinitesimal perturbations which neglect induced eigenvector perturbation, more general form Jacobi's formula, first-order structural equations modal state vectors, state-space damper-augmented structures, damping prediction formulas.