LQR controller for an in-service floor

Abstract

Of the numerous vibration mitigation technologies available, active vibration control is emerging as a realistic option for mitigation of human-induced vibrations in problem floors. This paper presents the design and implementation of an LQR controller that realizes a single input multiple output (SIMO) control strategy for suppression of human-induced vibrations in an in-service floor at the University of Sheffield. From results of modal testing of the floor structure, a suitable reduced-order model of the structure is derived. This is used to determine the optimal proportional and derivative gains that are implemented in both the analytical and experimental studies for SIMO control. Vibration mitigation performances attained in both the analytical and experimental implementation are presented. The analytical studies predicted a 58.7% reduction in vibration level for SIMO control for a single pedestrian walking across the floor. Experimental implementation yielded a 55% reduction in vibration level for the same.KeywordsActive vibration controlfloor structureshuman-induced vibration