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

Xing, LP Tachibana, E Inoue, Y

Lp. Xing et al., QN control method for building vibration caused by periodic excitation acting on intermediate story, EARTH EN ST, 29(8), 2000, pp. 1079-1091

14

INGLESE

Article

Civil Engineering

EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS

0098-8847 → ACNP

29

8

2000

1079 - 1091

ISI

0098-8847(200008)29:8<1079:QCMFBV>2.0.ZU;2-8

It has been proved in the authors' latest paper that the effective location of active control devices for building vibration caused by periodic excita tion acting on intermediate story is the adjacent three floors to the vibra tion source. However, in terms of the Discrete-Optimizing control method, t he control forces are on-line calculated step-by-step and time-delay must e xist. The degradation of control effect caused by time-delay can not be avo ided. In this paper, QN control method is proposed in order to resolve this practical problem. Since the external excitations which the building structure would experienc e are supposed to be periodic to some degree, Quasi-Newton method is applie d into the close-loop Linear-Quadratic optimal control method and the new c ontrol method is called the 'QN control method'. In this new control method , instead of solving the Riccati equation, the feedback gain matrix is dete rmined by optimizing the quadratic performance index of the structure with the Quasi-Newton method, one of the most commonly used minimization of func tions. The new control law can easily be implemented for time-delay problem s, the degradation can be greatly improved with compensated feedback gain m atrix. As a result, the QN control method is proved to be an efficient meth od to determine the feedback gain matrix. Copyright (C) 2000 John Wiley & S ons, Ltd.