IFIP TC7 System Modeling and Optimization

Session

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Aug 13, 2024, 11:00 AM

Seminarraum 208 (Von-Melle-Park 8)

26. Structure preserving time discretization of port-Hamiltonian systems

Attila Karsai (TU Berlin)

8/13/24, 11:00 AM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

Port-Hamiltonian systems are becoming increasingly important in the modelling of physical systems. The key feature of this class of systems is the coupling of different subsystems using energy as the “lingua franca”. Although obtaining structure preserving space discretizations is quite straightforward, structured time discretizations of pH systems are more challenging. For the latter, the...

39. High-order operator splitting methods for linear port-Hamiltonian systems

Marius Mönch (Trier University - Department IV)

8/13/24, 11:30 AM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

The lecture deals with numerical methods for solving port-Hamiltonian systems. The focus is on operator splitting methods. The aim is to derive high-order methods that preserve the port-Hamiltonian properties. Splitting methods with an order of three and higher have negative step sizes. As a result, the dissipation inequality is no longer preserved. Remedy create force-gradient methods. With...

31. Jet space extensions of infinite-dimensional Hamiltonian systems

Till Preuster (Technische Universität Ilmenau)

8/13/24, 12:00 PM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

Infinite-dimensional Hamiltonian systems offer an energy-based approach to model complex physical phenomena, appearing e.g. in fluid dynamics or mechanics. They are defined via a formally skew-symmetric Hamiltonian operator and are associated with a non-quadratic Hamiltonian energy function. In various applications, however, the Hamiltonian function depends on spatial derivatives of the state....

33. Regularization and stabilization of port-Hamiltonian descriptor systems via output feedback

Volker Mehrmann (TU Berlin)

8/13/24, 4:30 PM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

Regularization and index reduction for singular linear port-Hamilonian descriptor systems via output feedback is discussed. When the system is regularized and has index at most one, then the system is stable and passive, but not necessarily asymptotically stable and strictly passive. It is then shown how output feedback can be used to make the system (robustly) asymptotically stable and...

58. Optimal control of port-Hamiltonian systems

Timm Faulwasser (TU Dortmund)

8/13/24, 5:00 PM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

The framework of port-Hamiltonian (pH) systems allows to deduce structured models for physical systems from various domains. In recent work we have explored how the pH structure can be exploited in the analysis optimal control problems. Specifically, we consider the analysis of minimizing the energy supplied to the system while ensuring a set-point transition. We show that the pH structure...

27. A Toolbox for the Automatic Generation of Port-Hamiltonian Models for Mechanical Structures

Amelie Zeller

8/13/24, 5:30 PM

MS 03: Recent trends in control and numerics of port-Hamiltonian systems

Minisymposium Contribution

Adaptive structures are ultra-lightweight structures with actuation distributed among the structural elements. They enable material savings in high-rise construction of about 50%. Energy-based methods offer advantages in modeling for coupling the mechanical structure with actuators from another domain, such as hydraulic, and also for the design of an energy-based controller or state estimator....