Optimal controller for vibration isolation system with controlled hydraulic damper by piezoelectric stack

Piezoelectric stacks are increasingly applicable in various branches of engineering. Their work is based upon the inverse piezoelectric effect. Piezoelectric stacks are characterised by very good dynamic properties. In the presented paper a piezoelectric stack was used as an element in an operating hydraulic damper. The efficiency of a hydraulic damper was tested in a semi-active vibration isolation system. A mathematical model of a vibration isolation system with a hydraulic damper was presented. In the model it was taken into account that there is a non-linear relationship between force and velocity occurring in a hydraulic damper. Based upon the mathematical model, the synthesis of an optimum controller for vibration isolation system was carried out, taking into account the harmonic character of dependence of excitation signal from the road. Results of the simulated numeric experiments for the vibration isolation system with an optimum controller were presented.

► The mathematical model of vibration reduction system was presented.
► Vibration reduction system was developed using piezoelectric hydraulic damper.
► The synthesis of an optimum controller was made.
► Exemplary characteristics of an analysed system were presented.