Transient performance design for vibration systems with first-order admittance networks

Abstract

This paper investigates the transient performance of vibration systems with the first-order admittance networks¹, where a dominant-pole assignment-based method is adopted. First, necessary and sufficient conditions for assigning a given dominant pole are derived for the multi-degree-of-freedom (DOF) primary system. Typically, for a 1-DOF primary system, the admissible range of the assigned dominant pole together with the relationship between the transient performance indices and dominant poles are analytically obtained. Then, for an $n$-DOF primary system, the admissible range of the dominant pole is derived through optimization procedures, and an algorithm is proposed to find a class of network parameters that match the pre-specified transient performance indices. Finally, the effectiveness and superiority of the proposed method are demonstrated by simulations and experiments.