Work

Stability and Passivity for a Class of Distributed Port-Hamiltonian Networks

Year: 2024

Type: article

Abstract: . We consider a class of infinite dimensional (distributed) dissipative port-Hamiltonian systems whose dynamics is generated by a block operator in a Hilbert space that has a bounded dissipative diagonal and a possibly unbounded skew-adjoint off-diagonal. Sufficient conditions for the strong and exponential stability of the underlying semigroup generators are provided along with the derivation of a power-balance equation for classical solutions of the associated boundary control system. Furthermore, we consider interconnections of several such distributed pH systems and show that Kirchhoff-type interconnections preserve the underlying structure of the considered block operators. The results are illustrated for a power network connecting several prosumers via distributed transmission lines that are modeled based on the telegraph equations.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/22m1539174

Authors: Hannes Gernandt, Dorothea Hinsen

Institutions: University of Wuppertal, Fraunhofer Research Institution for Energy Infrastructures and Geotechnologies IEG, Technische Universität Berlin

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Wenner-Gren Stiftelserna, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung

Award: Verbundprojekt: 05M2022 - EKSSE: Energieeffiziente Koordination und Steuerung des Schienenverkehrs in Echtzeit. Teilvorhaben 2: Energiesparende Trajektorienoptimierung mehrerer Züge unter Unsicherheit.