Physics

Geology

Mathematics

Mathematical physics

Boundary (topology)

Distributed computing

Oceanography

String (physics)

Mathematical analysis

Actuator

Paleontology

Artificial intelligence

Vibration

Seismology

Fault (geology)

Control (management)

Disturbance (geology)

Computer science

Vibration control

Quantum mechanics

Bounded function

Control theory (sociology)

Fault tolerance

Dead zone

IEEE Transactions on Cybernetics

This study focuses on an adaptive fault-tolerant boundary control (BC) for a flexible string (FS) in the presence of unknown external disturbances, dead zone, and actuator fault. To tackle these issues, by employing some transformations, a part of the unknown dead zone and external disturbance can be regarded as a composite disturbance. Subsequently, an adaptive fault-tolerant BC is developed by utilizing strict formula derivations to compensate for unknown composite disturbance, dead zone, and actuator fault in the FS system. Under the proposed control strategy, the closed-loop system proves to be uniformly ultimately bounded, and the vibration amplitude is guaranteed to converge ultimately to a small compact set by choosing suitable design parameters. Finally, a numerical simulation is performed to demonstrate the control performance of the proposed scheme.

Adaptive Fault-Tolerant Boundary Control for a Flexible String With Unknown Dead Zone and Actuator Fault