Affiliations: School of Resources and Environmental Engineering,
Jiangxi University of Science and Technology, Ganzhou, Jiangxi, China | Faculty of Electrical Engineering and Automation,
Jiangxi University of Science and Technology, Ganzhou, Jiangxi, China
Note: [] Corresponding author: F.L. Weng, Faculty of Electrical
Engineering and Automation, Jiangxi University of Science and Technology,
Ganzhou 341000, Jiangxi, China. Tel.: +86 797 831 2506; Fax: +86 797 831 2506;
E-mail: [email protected]
Abstract: The problem of robustly active vibration control for a class of
earthquake-excited structural systems with time-delay and saturation in the
control input channel and parameter uncertainties appearing in all the mass,
damping and stiffness matrices is concerned in this paper. The objective of the
designing controllers is to guarantee the robust stability of the closed-loop
system and attenuate the disturbance from earthquake excitation. Firstly, by
using the linear combination of some matrices to deal with the system's
uncertainties, a new system uncertainties description, namely rank-1
uncertainty description, is presented. Then, by introducing a linear varying
parameter, the input saturation model is described as a linear parameter
varying model. Furthermore, based on parameter-dependent Lyapunov theory and
linear matrix inequality (LMI) technique, the LMIs-based conditions for the
closed-loop system to be stable are deduced. By solving those conditions, the
controller, considering the actuator saturation, input delay and parameters
uncertainties, is obtained. Finally, a three-storey linear building structure
under earthquake excitation is considered and simulation results are given to
show the effectiveness of the proposed controllers.
