Boundary event-triggered FTC of uncertain Euler-Bernoulli beam systems with actuator failures

This work presents an event-triggered fault-tolerant boundary control approach for Euler-Bernoulli beam systems with actuator failures, uncertain system parameters, and external disturbances. Firstly, partial differential equations with boundary conditions are employed to model the system, and an adaptive compensation method is introduced to solve the issue of infinite times actuator faults, encompassing complete and partial faults. By using the relative threshold strategy, the event-triggered fault-tolerant boundary controller is developed to dampen vibration and reduce communication load between actuators and controllers. Simultaneously, the uniformly bounded stability and well-posedness of flexible beam systems are proved by Lyapunov's direct approach and semigroup theory, respectively. Lastly, the validity of the presented algorithm is demonstrated through simulation results.