Passivity Encoding Representations of Nonlinear Systems

• 成果类型: Article
• 署名作者: Karsai, A.; Breiten, T.; Ramme, J.; Schulze, P.
• 署名单位: Technical University of Berlin
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3576535
• 发表日期: 2025
• 关键词: dissipative dynamical-systems; integration

摘要

Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. In addition, algebraically encoding passivity in the system description can be advantageous. For this, port-Hamiltonian systems are a prominent approach. Another possibility is writing the system in suitable coordinates. In this article, we investigate the equivalence between passivity and the feasibility of passivity encoding representations, thereby elaborating upon existing results for port-Hamiltonian systems. Based on our findings, we present a method to construct port-Hamiltonian representations of a passive system if the dynamics and the Hamiltonian are known.