Ground-borne vibration control in a building-like structure using multi-positive position feedback combined with sliding mode control

Abstract

This work deals with the structural and dynamic analysis of a building-like structure consisting of a three-story building with one type of actuators, that is, a passive/active electromechanical actuator. The base of the structure is perturbed using an electromagnetic shaker, which provides forces with a wide range of excitation frequencies, including noisy excitations emulating traffic, underground railways and earthquakes, common in Mexico City. The overall mechanical structure is modeled using Euler-Lagrange method and validated using experimental modal analysis techniques. The active controls laws are synthesized to actively attenuate the noise and vibration system response caused by noise excitation forces acting on the base of the structure. The control scheme is obtained using multi-positive position feedback (MPPF) combined with sliding mode (SM) to improve the closed-loop system response, which is able to simultaneously attenuate the three vibration modes of the primary system. Some simulation and experimental results are included to illustrate the overall system performance.