Optimal control of port-hamiltonian descriptor systems with minimal energy supply
Publikationstyp
Journal Article
Date Issued
2022
Sprache
English
Volume
60
Issue
4
Start Page
2132
End Page
2158
Citation
SIAM Journal on Control and Optimization 60 (4): 2132-2158 (2022)
Publisher DOI
Scopus ID
Publisher
Society for Industrial & Applied Mathematics (SIAM)
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.
Subjects
differential algebraic equations
dissipativity
port-Hamitonian systems
turnpike properties
DDC Class
530: Physics