Generalized passivity-based control of bilinear port-Hamiltonian systems (A04)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

Control of networked energy systems requires an extension of the widely applied passivity-based approaches to larger classes of systems. Therefore, we develop passivity notions for bilinear and switched differential-algebraic systems. Although port-Hamiltonian systems are passive, the passivity does not incorporate the systems’ dissipation explicitly and hence the relation between both notions is studied. Moreover, a theory of switched differential-algebraic port-Hamiltonian systems is developed that can be used for control design. The new control approaches are compared for switched power systems and district heating systems.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professor Dr. Hannes Gernandt; Professor Dr. Timo Reis