4.1 Article

Stabilization of Discrete Port-Hamiltonian Dynamics via Interconnection and Damping Assignment

Journal

IEEE CONTROL SYSTEMS LETTERS
Volume 5, Issue 1, Pages 103-108

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2020.3000705

Keywords

Damping; Lyapunov methods; Asymptotic stability; Computational modeling; Energy management; Mathematical model; Linear systems; Energy systems; Lyapunov methods; sampled-data control

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This letter discusses interconnection and damping assignment for discrete-time port-Hamiltonian systems. A novel state representation is used to design a nonlinear discrete-time controller, and the solution is explicitly computed in the linear case. The effectiveness of the controller is confirmed through the design on the exact sampled-data model of a mechanical system.
This letter deals with interconnection and damping assignment for discrete-time port-Hamiltonian systems. Based on a novel state representation, suitably shaped to address energy-based control design, the nonlinear discrete-time controller is characterized and the solution is explicitly computed in the linear case. The design worked out on the exact sampled-data model of a mechanical system confirms the effectiveness of the controller.

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