6 papers
Projected integral control of impedance passive nonlinear systems
Nicolas Vanspranghe, Pietro Lorenzetti, Lassi Paunonen +1
We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considere…
Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
For strongly continous semigroups on Hilbert spaces, we investigate admissibility properties of control and observation operators shifted along continuous scales of spaces built by…
A non-uniform Datko-Pazy theorem for bounded operator semigroups
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
We present a non-uniform analogue of the classical Datko-Pazy theorem. Our main result shows that an integrability condition imposed on orbits originating in a fractional domain of…
Weakly elliptic damping gives sharp decay
Lassi Paunonen, Nicolas Vanspranghe, Ruoyu P. T. Wang
We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is n…
On forwarding techniques for stabilization and set-point output regulation of semilinear infinite-dimensional systems
Nicolas Vanspranghe, Lucas Brivadis, Lassi Paunonen
A stabilizer based on the forwarding technique is proposed for semilinear infinite-dimensional systems in cascade form. Sufficient conditions for local exponentially stability and…
Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups
Nicolas Vanspranghe, Lucas Brivadis
This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a fe…