Robust vibration control of uncertain flexible structures based on model reduction

This paper considers robust vibration control of uncertain flexible structures. It firstly uses finite element method (FEM) to formulate the model and then reduces the degrees of freedom by employing mode truncation method. It compares the control effects of different number of modes reserved, and presents the principle of determining the number of modes truncated. Then it chooses the number and optimal place of actuators by using genetic algorithm (GA). Taking into account uncertainties which are caused by model parameter variations, a robust controller is designed to suppress the vibration of the flexible structure. The effectiveness of the methods is illustrated through numerical simulations.