Finite-time stabilization of an overhead crane with a flexible cable submitted to an affine tension

The paper is concerned with the finite-time stabilization of a coupled PDE–ODE system describing motion an overhead crane flexible cable. dynamics cable described by wave equation variable coefficient which affine function curvilinear abscissa along Using several changes variables, backstepping transformation, and stable second-order ODE for conveniently chosen variable, we prove that global occurs full constituted platform kernel equations are numerically solved in order to compute nonlinear feedback law, numerical simulations validating our approach presented.