Hierarchical decentralized robust control method of uncertainty structure vibration

Based on the linear matrix inequality, a hierarchical decentralized state-feedback controller was given to resolve the vibration control of an uncertainty building structure. Active control experiments were constructed by a Matlab/xPC real-time control system, and half physical real-time data acquisition and control of a cantilever beam were realized by using piezoelectric materials, showing a favorable performance even if when the mass of a structure changes. The time domain analysis indicates that the vibration attenuates quickly with the increase of a distance away from the vibration source. The experimental result shows that the controller can work very well, and this method has strong robustness.