Fault-Tolerant Control for Euler-Bernoulli Beam Systems by Using Backstepping Approach

This paper investigates a fault-tolerant control issue for a class of Euler-Bernoulli beam systems under process faults inside the beam. The beam is controlled at one end by using the moment actuators and has the "sliding" boundary condition at the opposite end. A new model transformation is developed by an invertible transformation, which converts the Euler-Bernoulli beam system into a heat-like PDE system. Then a novel backstepping based fault-tolerant control law is proposed by the boundary feedback for the heat-like PDE system, followed by the stability analysis for the closed-loop heat-like PDE system. Finally, the stability analysis and well-posedness are shown for the Euler-Bernoulli beam system.