QN control method for building vibration caused by periodic excitation acting on intermediate story

Abstract

SUMMARYIt has been proved in the authors' latest paper that the e!ective location of active control devices for building vibration caused by periodic excitation acting on intermediate story is the adjacent three #oors to the vibration source. However, in terms of the Discrete-Optimizing control method, the control forces are on-line calculated step-by-step and time-delay must exist. The degradation of control e!ect caused by time-delay can not be avoided. In this paper, QN control method is proposed in order to resolve this practical problem.Since the external excitations which the building structure would experience are supposed to be periodic to some degree, Quasi-Newton method is applied into the close-loop Linear}Quadratic optimal control method and the new control method is called the &QN control method'. In this new control method, instead of solving the Riccati equation, the feedback gain matrix is determined by optimizing the quadratic performance index of the structure with the Quasi-Newton method, one of the most commonly used minimization of functions. The new control law can easily be implemented for time-delay problems, the degradation can be greatly improved with compensated feedback gain matrix. As a result, the QN control method is proved to be an e$cient method to determine the feedback gain matrix.