Port-Hamiltonian Boundary Control Systems in Discrete-Time Modeling and Control Design

• 成果类型: Article
• 署名作者: Macchelli, Alessandro
• 署名单位: University of Bologna
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3593062
• 发表日期: 2026
• 关键词: EXPONENTIAL STABILIZATION; STABILITY; Passivity; formulation

摘要

This article presents a design framework of discrete-time regulators for linear port-Hamiltonian boundary control systems. The contribution is twofold. At first, a discrete-time approximation of the plant dynamics originally described by a linear partial differential equation with boundary actuation is introduced. The discretization is performed in time only. Thus, the distributed nature of the state is maintained. Such a system inherits the passivity of the original one and is well-posed, i.e., the next state always exists. In the second part, instead, the control design problem is tackled. Initially, the characterization of discrete-time, linear controllers in the port-Hamiltonian form that render the closed-loop dynamics asymptotically stable is presented. Then, the control by energy-shaping and damping injection paradigm is extended to deal with this novel class of distributed-parameter systems. A numerical example illustrates the effectiveness of the proposed framework.