Overcoming the dissipation obstacle with bicomplex port-hamiltonian mechanics
C. Hutters (TU Delft - Team Bart De Schutter)
M.B. Mendel (TU Delft - Support Delft Center for Systems and Control)
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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.
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