To access the full text documents, please follow this link: http://hdl.handle.net/2117/14555

Port-Hamiltonian Modeling of Systems with Position-Dependent Mass
Jeltsema, Dimitri; Dòria Cerezo, Arnau
Universitat Politècnica de Catalunya. Departament d'Enginyeria Elèctrica; Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia
It is known that straightforward application of the classical Lagrangian and Hamiltonian formalism to systems with mass varying explicitly with position may lead to discrepancies in the formulation of the equations of motion. Systems with mass varying explicitly with position often arise from situations where the partitioning of a closed system of constant mass leads to open subsystems that exchange mass among themselves. One possible solution is to introduce additional non-conservative generalized forces that account for these effects. However, it remains unclear how to systematically interconnect the Lagrangian or Hamiltonian subsystems. In this paper, systems with mass varying explicitly with position and their properties are studied in the port-Hamiltonian modeling framework. The port-Hamiltonian formalism combines the classical Lagrangian and Hamiltonian approach with network modeling and is applicable to various engineering domains. One of the strong aspects of the port-Hamiltonian formalism is that power-preserving interconnections between port- Hamiltonian subsystems results in another port-Hamiltonian system with composite energy and interconnection structure. The motion of a heavy cable being deployed from a reel by the action of gravity is used as an example.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial
Àrees temàtiques de la UPC::Urbanisme::Aspectes socials
Lagrangian functions
Hamiltonian systems
Langrage, Funcions de
Hamilton, Sistemes de
Control, Teoria de
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Article - Draft
info:eu-repo/semantics/conferenceObject
IFAC
         

Show full item record

Related documents

Other documents of the same author

Jeltsema, Dimitri; Dòria Cerezo, Arnau
Espinosa Pérez, Gerardo; Maya Ortiz, Paul; Dòria Cerezo, Arnau; Moreno, Jaime A.
Dòria Cerezo, Arnau; Olm Miras, Josep Maria; di Bernardo, Mario; Quaglia, Massimiliano; Nuño, Emmanuel
Muñoz Aguilar, Raúl Santiago; Rodríguez Cortés, Pedro; Dòria Cerezo, Arnau; Candela García, José Ignacio; Luna Alloza, Álvaro
 

Coordination

 

Supporters