Nonlinear decentralized control of seismically excited civil structures

The dynamic behaviour of civil structures under strong earthquakes is usually nonlinear or inelastic. Conventional control approach is almost based on linear theory, such as the linear quadratic regulator (LQR) design. One of the common characteristics shared by seismically excited civil structures is a distinct subsystem property, which indicates there are only several floors of civil structures with nonlinear or inelastic vibration and the other with linear vibration. In this study, a robust control approach combining decentralized control with adaptive fuzzy control is proposed to treat the nonlinear control for civil structures. The structural system is decomposed into several artificially subsystems, while the different subsystem is adopted the corresponding control algorithm. The input-to-state stability of the entire system can be guaranteed by the proposed control method, and an H infinity performance is achieved through a subsystem with the proposed controller. Numerical examples are presented to demonstrate the effectiveness and robustness of the proposed controller.