Stabilization of an overhead crane with a variable length flexible cable. (English) Zbl 1119.93043
Summary: This paper deals with the asymptotic stabilization of an hybrid PDE-ODE system which describes an overhead crane with a variable length flexible cable. Stabilizing boundary feedback laws have previously been developed in the case of a cable with fixed length.
MSC:
93C20 | Control/observation systems governed by partial differential equations |
93D15 | Stabilization of systems by feedback |
35L50 | Initial-boundary value problems for first-order hyperbolic systems |
93D20 | Asymptotic stability in control theory |