Stabilization with Zero Location Constraints for Delay-Based Non-collocated Vibration Suppression

A generally applicable design of non-collocated vibration absorption by a delayed resonator is proposed. It grounded in the direct assignment imaginary axis zeros transfer function between periodic disturbance force and target. We show that these transmission are characterized as eigenvalues delay differential-algebraic system. Furthermore, stabilizing local controller added to setup order widen range admissible frequencies. These requirements translated into an optimization problem spectral abscissa subjected zero location constraints. The presented approach algorithm validated simulation on three body lumped mass-spring