Brayton-Moser Formulation of High-Order Distributed Port-Hamiltonian Systems with One-Dimensional Spatial Domain. Issue 2 (2019)

• Record Type: Journal Article
• Authors: Macchelli, Alessandro
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 2(2019)
• Page Start: 46
• Page End: 51
• Publication Date: 2019
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.08.009
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: For a class of distributed port-Hamiltonian systems with dissipation characterised by high-order differential operators, one-dimensional domain, and boundary actuation and sensing, an equivalent Brayton-Moser formulation is obtained. The result is that the state evolution is described by a gradient equation with respect to a storage function, the "mixed-potential, " that has the dimensions of power. This is the main difference with respect to the port-Hamiltonian form, where the dynamic depends on the derivatives up to a certain order and with respect to the spatial coordinate of the gradient of the Hamiltonian function, i.e. of the total energy.