Title: Algebraic constraints in port-Hamiltonian systems
14:00 - 15:00
Please contact the organizer for detail
Title: Algebraic constraints in port-Hamiltonian systems
Abstract: Algebraic constraints are ubiquitous in the modeling of complex engineering systems. From a port-based modeling perspective they are encapsulated in the Dirac structure of the port-Hamiltonian formulation. Another way of representing algebraic constraints is by replacing the expression of energy in terms of a Hamiltonian function by a general Lagrangian subspace. I will recall how both types of algebraic constraints can be combined, and how one may convert one type of algebraic constraints into the other; basically by the introduction of Lagrange multipliers. This will be first discussed for linear finite-dimensional port-Hamiltonian systems, and subsequently extended to the nonlinear case. Finally, I will indicate how these ideas can be extended to boundary control port-Hamiltonian systems on a 1-dimensional spatial domain.