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

Alessio Moreschini, Mattia Mattioni, S. Monaco, D. Normand‐Cyrot

2020IEEE Control Systems Letters35 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

InterconnectionHamiltonian (control theory)Control theory (sociology)Nonlinear systemPort (circuit theory)Discrete time and continuous timeHamiltonian systemComputer scienceRepresentation (politics)MathematicsPhysicsEngineeringControl (management)Mathematical analysisMathematical optimizationElectronic engineeringQuantum mechanicsTelecommunicationsLawPolitical scienceStatisticsPoliticsArtificial intelligenceControl and Stability of Dynamical SystemsATP Synthase and ATPases ResearchNumerical methods for differential equations
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