Active vibration suppression of a smart beam via a controller designed by using linear quadratic regulator method

In this study, an active vibration suppression of a smart beam having piezoelectric patches which are used both as a sensor and an actuator is investigated by using linear quadratic regulator method. From the experimentally obtained frequency response function, the analytical models of the smart beam around its first resonance frequency region is determined. The free and the forced vibration suppression performances of the designed controllers are then tested and compared in the Simulink environment. Following this, experiments are also conducted for verification purposes. Considering both time and frequency domain, the experimental results are observed to be in good agreement with the results that are obtained from the simulations. The research study finally shows that the sufficient vibration suppression levels are reached in the smart beam structure regarding its first resonance frequency region via the controller designed by using linear quadratic regulator method.