Multi-overlapping decentralized control of a class of structural vibration systems

A decentralized control problems of a class of vibration control systems of multi-story building structure having multi-overlapping structure is studied. Through the construction of seismic excitation response of the simplified dynamic model, the state space model is constructed. Applying the large system inclusion principle of constraint conditions of the extended system information overlap structure, a large system can be decoupled into a group of pair-wise subsystems. Then, the linear quadratic regulator (LQR) control laws for every pair-wise subsystems are designed, and by coordinating and contracting the pair-wise decentralized controllers from the expanded space to the original space the overlapping decentralized controller for the original system is got. Finally, a simulation example shows the effectiveness of the proposed method.