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Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
Publikationstyp
Conference Paper
Date Issued
2021
Sprache
English
Journal
Volume
54
Issue
19
Start Page
155
End Page
160
Citation
IFAC-PapersOnLine 54 (19): 155-160 (2021)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IFAC
We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomenon towards certain subspaces induced by the dissipation of the dynamics. The theoretical foundations are illustrated by means of numerical examples concerning a Timoshenko beam and the heat equation.
Subjects
Dissipativity
Infinite-dimensional systems
Optimal control
Port-Hamiltonian systems
Turnpike properties
DDC Class
333.7: Natural Resources, Energy and Environment
004: Computer Sciences
510: Mathematics