LQ cooperative distributed MPC to protect two connected buildings from seismic activities

In this paper, we study a linear quadratic (LQ) cooperative distributed MPC based on LQ cooperative game theory and apply it to reduce the vibration of two connected buildings caused by seismic activities. Two connected buildings is a systemwide contains two subsystems connected by a bridge. Dynamics of this systemwide can be written as a composite model that is the combination of decentralized model and interaction model between subsystems. The control purpose is reducing the vibration or regulating the displacements of buildings from their origin. The optimal control action of the LQ cooperative distributed MPC is determined by finding Pareto solution. We simulate this control design to view the response of the system from seismic activities. From the simulation results, the controller reduces the vibration of the system and brings the states to the origin faster than uncontrolled system.