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Complexity
Volume 2017, Article ID 2513815, 7 pages
https://doi.org/10.1155/2017/2513815
Research Article

RBF Nonsmooth Control Method for Vibration of Building Structure with Actuator Failure

1School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
2Engineering Earthquake Resistance Center, Guangzhou University, Guangzhou 51045, China
3Guangzhou Real Estate Management Vocational School, Guangzhou 510320, China

Correspondence should be addressed to Chunliang Zhang; moc.361@lczhn

Received 13 July 2017; Accepted 30 October 2017; Published 20 December 2017

Academic Editor: Junpei Zhong

Copyright © 2017 Jianhui Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In order to accommodate the actuator failure, the finite-time stable nonsmooth control method with RBF neural network is used to suppress the structural vibration. The traditional designed control methods neglect influence of actuator failure in structural vibration. By Lyapunov stable theory, the designed control method is demonstrated to suppress the building structural vibration with actuator failure. Finally, there are some examples to numerically simulate the three-layer building structure which is affected by El Centro seismic wave. Control effect of nonsmooth control is compared with no control and LQR control. The simulation results demonstrate that the designed control method is great for vibration of building structure with actuator failure and great antiseismic effect.