Contributions to Books:
D. Stürzer, A. Arnold, A. Kugi:
"Closed-loop stability analysis of a gantry crane with heavy chain";
in: "ASC Report 16/2016",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
In this paper, we systematically analyze the backstepping based bound-ary control concept developed in  for a gantry crane with heavy chain and payload. The corresponding closed-loop system is formulated as an abstract evolution equa-tion in an appropriate Hilbert space. Conditions for the coeﬃcients of the boundary control are derived, under which the solutions are described by a C0-semigroup of contractions, and are asymptotically stable. By applying Huang´s theorem we can ﬁnally even show that under these conditions the controller renders the closed-loop system exponentially stable.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.