Overcoming the dissipation obstacle with bicomplex port-hamiltonian mechanics

Hutters, C.; Mendel, M.B.

doi:10.1016/j.ifacol.2020.12.1569

Overcoming the dissipation obstacle with bicomplex port-hamiltonian mechanics

Title

Overcoming the dissipation obstacle with bicomplex port-hamiltonian mechanics

Author

Hutters, C. (TU Delft Team Bart De Schutter)
Mendel, M.B. (TU Delft Support Delft Center for Systems and Control)

Date

2021

Abstract

The dissipation obstacle refers to the problem that there is no general solution to shape the energy of dissipative port-Hamiltonian (pH) systems with the method of Casimir functions. This paper argues that it is caused by lack of a strictly symplectic structure of a dissipative port-Hamiltonian system. We develop a method of bicomplex pH systems that is strictly symplectic and we show how it overcomes the obstacle and allows one to systematically use Casimir functions to shape the energy.

Subject

Dissipation obstacle
Energy shaping
Energy-Casimir method
Hamiltonian mechanics
Port-Hamiltonian systems

To reference this document use:

http://resolver.tudelft.nl/uuid:c58f57d3-5b4a-42a7-b806-4a791be9f58f

DOI

https://doi.org/10.1016/j.ifacol.2020.12.1569

ISSN

1474-6670

Source

IFAC-PapersOnLine, 53 (2020) (2), 5573-5578

Event

21st IFAC World Congress 2020, 2020-07-12 → 2020-07-17, Berlin, Germany