Well-posedness and Stability of Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback
Analysis of PDEs
2019-05-30 v2 Functional Analysis
Optimization and Control
Abstract
Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback control and dynamic control via an (exponentially stabilising) nonlinear controller. A design method for nonlinear controllers of linear port-Hamiltonian systems is introduced. As a special case the Euler-Bernoulli beam is considered.
Keywords
Cite
@article{arxiv.1506.02921,
title = {Well-posedness and Stability of Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback},
author = {Björn Augner},
journal= {arXiv preprint arXiv:1506.02921},
year = {2019}
}
Comments
28 pages, submitted to SIAM J. Control Optim Update: corrected version, 29 pages