TITLE:
H∞ Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation
AUTHORS:
Shulong Wei, Yuanguang Zheng
KEYWORDS:
Structural Vibration, Active Mass Damper, H∞ Control, Controller Saturation, Linear Matrix Inequality
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 No.11,
November
17,
2023
ABSTRACT: This paper investigates the application of active
mass dampers to mitigate the vibrations of building structures subjected to
unknown external excitations under controller saturation conditions. By
utilizing an H∞ control strategy, the
optimal state feedback controller is derived by solving the linear matrix
inequality problem for controller saturation. Case studies show that the
proposed controller is capable of stabilizing the closed-loop system with good
control performance and effectively suppressing vibrations in building
structures under unknown external excitation. When compared to controllers that
do not consider saturation, the proposed controller requires lower gain and
results in reduced energy consumption. The research findings provide valuable
insights for addressing real-world building structure control problems,
contributing to both theoretical significance and practical applications.