Nonlinear time-varying actuator fault-tolerant control for a nonlinear high-rise building system with uncertain control direction and output constraints

The high-rise buildings are prone to vibration due to external disturbance. To ensure residents’ lives and property security, the vibration suppression problem of high-rise buildings has attracted extensive attention from researchers. As a large flexible structure, the high-rise building is more accurate in modeling and control using partial differential equations (PDE). Based on the nonlinear PDE model, an adaptive fault-tolerant control law incorporating both Nussbaum function and Barrier Lyapunov function is proposed. Vibration suppression of the high-rise building is achieved under uncertain control direction and nonlinear time-varying actuator faults, while ensuring that the system output remains within a specified range. In addition, it is demonstrated via the Lyapunov method that all closed-loop signals remain uniformly bounded. The effectiveness of control method is verified by numerical simulation.