Adaptive fuzzy control of a magnetorheological elastomer vibration isolation system with time-varying sinusoidal excitations

Abstract

This paper presents the design method of an adaptive fuzzy controller (AFC) for a magnetorheological elastomer (MRE) vibration isolation system with time-varying sinusoidal excitations. In the first place, Kelvin model of MRE isolator without application of driving current is obtained by acceleration sweep experiments on a shake table, which establishes a foundation for the design of adaptive law. Secondly, a semi-active AFC with factor adjustment mechanism is designed based on the transmissibility curves under zero magnetic application and semi-active fuzzy control theory, which is independent of the isolation system model and adaptive to time-varying excitations in amplitudes and frequencies without adopting complicated fast Fourier transformation (FFT) analyzer. Finally, acceleration responses of the system with AFC to time-varying sinusoidal excitations are evaluated by numerical simulation and physical experiments, which indicate that the AFC could maintain satisfying control effect in the presence of time-varying sinusoidal excitations in amplitudes and frequencies, and is also more optimal than conventional fuzzy controller (FC).