LAUSR

This brief concentrates on controller design for flexible string systems subjected to external disturbances, input constraints, and state constraints. The hyperbolic barrier Lyapunov function and auxiliary systems are adopted to develop boundary constrained control with a disturbance observer for restraining vibrations, eliminating input and state constraints, and tackling external disturbances. The suggested control can ensure the input and state constraints and achieve asymptotic stability in the controlled system. With appropriate design parameters, the simulation results obtained verify the control performance.