43 research outputs found
Funnel control for a moving water tank
We study tracking control for a moving water tank system, which is modelled
using the Saint-Venant equations. The output is given by the position of the
tank and the control input is the force acting on it. For a given reference
signal, the objective is to achieve that the tracking error evolves within a
prespecified performance funnel. Exploiting recent results in funnel control we
show that it suffices to show that the operator associated with the internal
dynamics of the system is causal, locally Lipschitz continuous and maps bounded
functions to bounded functions. To show these properties we consider the
linearized Saint-Venant equations in an abstract framework and show that it
corresponds to a regular well-posed linear system, where the inverse Laplace
transform of the transfer function defines a measure with bounded total
variation.Comment: 11 page
Admissibility of retarded diagonal systems with one-dimensional input space
We investigate infinite-time admissibility of a control operator in a
Hilbert space state-delayed dynamical system setting of the form
, where generates a diagonal
-semigroup, is also diagonal and . Our approach is based on the Laplace embedding
between and the Hardy space . The results are
expressed in terms of the eigenvalues of and and the sequence
representing the control operator.Comment: 25 pages, 2 figure
Structured Perturbations of Semigroup Generators: Theory and Applications
Wir verwenden einen Störungsansatz, um lineare Operatoren und deren Spektral- und Generatoreigenschaften zu untersuchen. Dazu betrachten wir strukturierte Störungen, welche auch im Kontext linearer Systeme mit geschlossenem Feedback betrachtet wurden