Optimal control of port-hamiltonian descriptor systems with minimal energy supply

Publikationstyp
Journal Article
Publikationsdatum
2022
Sprache
English
Author
Faulwasser, Timm 
Maschke, Bernhard
Philipp, Friedrich
Schaller, Manuel
Worthmann, Karl
TORE-URI
https://hdl.handle.net/11420/45663
Enthalten in
SIAM journal on control and optimization 
Volume
60
Issue
4
Start Page
2132
End Page
2158
Citation
SIAM Journal on Control and Optimization 60 (4): 2132-2158 (2022)
Publisher DOI
10.1137/21M1427723
Scopus ID
2-s2.0-85137701514
Publisher
Society for Industrial and Applied Mathematics Publications
We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems. We study the reachability properties of the system and prove that optimal states exhibit a turnpike behavior with respect to the conservative subspace. Further, we derive a input-state turnpike toward a subspace for optimal control of port-Hamiltonian ordinary differential equations with a feed-through term and a turnpike property for the corresponding adjoint states toward zero. In an appendix we characterize the class of dissipative Hamiltonian matrices and pencils.
Schlagworte
differential algebraic equations
dissipativity
port-Hamitonian systems
turnpike properties
DDC Class
530: Physics