Integration of Bilinear H∞ Control and Adaptive Inverse Control for Semi-Active Vibration Isolation of Structures

This paper is concerned with efficient integration of bilinear H∞ control and adaptive inverse control to attain vibration isolation of structure installed with a semi-active MR damper in which its damping force is controllable by input voltage. The structure with MR damper is expressed by a bilinear dynamic equation. The role of the bilinear H∞ controller is to provide the desired damping force, while the role of the adaptive inverse controller is to compensate the nonlinearity of MR damper by generating the input voltage so that the actual damping force can track the desired damping force. A new model of MR damper is also given and then the input voltage can be analytically calculated to generate the specified damping force. Simulation and experimental results validated the effectiveness of the proposed model-based integrated control approach in vibration isolation of multistory structures.