Theoretical and experimental investigation of model-free adaptive fuzzy sliding mode control for MRE based adaptive tuned vibration absorber

Abstract

In the present study, the performance of model-free adaptive fuzzy sliding mode control (AFSC) for the magnetorheological elastomer based adaptive tuned vibration absorber (MRE ATVA) has been investigated theoretically and experimentally. A room temperature vulcanized silicone rubber and Carbonyl iron particles form the constituents of MRE. Sliding mode and AFSCs have been developed. The boundary layer is applied for sliding surface to reduce chattering effect in the sliding mode control, in case of the AFSC, two fuzzy systems approximate the equivalent control and switching control. The Lyapunov theorem evaluates the asymptotical stability of the developed adaptive control based on fuzzy systems. The performance is compared for both the controls subjected to single frequency excitation. Further, the AFSC has been investigated for variable frequency excitation. The maximum reduction of transmissibility of primary mass is 38.14%. Based on the present study, the model-free AFSC is more effective in tuning the natural frequency of MRE ATVA by 0.5 s with parameter uncertainties and under variable frequency excitation as compared to the boundary layer sliding mode control. 2019 IOP Publishing Ltd.