Optimization of time-delayed feedback control of seismically excited building structures |
| |
| Authors: | Xue-ping Li Wei-qiu Zhu Zu-guang Ying |
| |
| Institution: | (1) Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, China |
| |
| Abstract: | An optimization method for time-delayed feedback control of partially observable linear building structures subjected to seismic excitation is proposed. A time-delayed control problem of partially observable linear building structure under horizontal ground acceleration excitation is formulated and converted into that of completely observable linear structure by using separation principle. The time-delayed control forces are approximately expressed in terms of control forces without time delay. The control system is then governed by Ito stochastic differential equations for the conditional means of system states and then transformed into those for the conditional means of modal energies by using the stochastic averaging method for quasi-Hamiltonian systems. The control law is assumed to be modal velocity feedback control with time delay and the unknown control gains are determined by the modal performance indices. A three-storey building structure is taken as example to illustrate the proposal method and the numerical results are confirmed by using Monte Carlo simulation. |
| |
| Keywords: | Time-delayed feedback control Stochastic averaging method Hamiltonian Earthquake |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
