Active Vibration Control for Flexible High-Rise Building System based on PDE Model

In this paper, an active boundary vibration control strategy is proposed for single-floor flexible high-rise building system with Active Mass Damper (AMD). Firstly, the system dynamics of the single-floor flexible building equation is described by distributed parameter model consisting of partial differential equation (PDE) and ordinary differential equation (ODE). Secondly, an active boundary controller is designed to suppress the vibration of the flexible building structure, the asymptotic stability of the system is proved by using LaSalle’s Invariance Principle. Finally, the effectiveness of the proposed control method is verified by simulations.