This paper 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 PDE with boundary actuation is introduced. The discretisation 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, namely the 'next' state always exists. The second result is the characterisation of discrete-time, linear controllers in the port-Hamiltonian form that render the closed-loop dynamics asymptotically stable. A numerical example illustrates the effectiveness of the proposed framework.

Distributed-Parameter Port-Hamiltonian Systems in Discrete-Time / MacChelli A.. - ELETTRONICO. - (2023), pp. 2931-2936. (Intervento presentato al convegno 62nd IEEE Conference on Decision and Control, CDC 2023 tenutosi a sgp nel 2023) [10.1109/CDC49753.2023.10383674].

Distributed-Parameter Port-Hamiltonian Systems in Discrete-Time

MacChelli A.
2023

Abstract

This paper 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 PDE with boundary actuation is introduced. The discretisation 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, namely the 'next' state always exists. The second result is the characterisation of discrete-time, linear controllers in the port-Hamiltonian form that render the closed-loop dynamics asymptotically stable. A numerical example illustrates the effectiveness of the proposed framework.
2023
Proceedings of the IEEE Conference on Decision and Control
2931
2936
Distributed-Parameter Port-Hamiltonian Systems in Discrete-Time / MacChelli A.. - ELETTRONICO. - (2023), pp. 2931-2936. (Intervento presentato al convegno 62nd IEEE Conference on Decision and Control, CDC 2023 tenutosi a sgp nel 2023) [10.1109/CDC49753.2023.10383674].
MacChelli A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/962784
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