Dirac Structures for a Class of Port-Hamiltonian Systems in Discrete Time

• 成果类型: Article
• 署名作者: Moreschini, Alessio; Monaco, Salvatore; Normand-Cyrot, Dorothee
• 署名单位: Imperial College London; Sapienza University Rome; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3313327
• 发表日期: 2024
• 页码: 1999-2006
• 关键词: Algebraic/geometric methods; energy systems; Modeling; Nonlinear systems

摘要

This article discusses the Dirac structure and the state-space representation of a class of port-Hamiltonian systems that evolve in discrete time. The characterization of the underlying Dirac structure depends on separating the stored energy associated with the system into two distinct components. Moreover, it is shown that power-preserving interconnection and negative output feedback maintain the port-Hamiltonian structure while increasing the dimension of the Dirac structure. Finally, the proposed approach is illustrated by means of an approximated gravity pendulum model.