Dirac Structures for a Class of Port-Hamiltonian Systems in Discrete Time
Alessio Moreschini, S. Monaco, D. Normand‐Cyrot
Abstract
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.
Topics & Concepts
Hamiltonian (control theory)Dirac (video compression format)Port (circuit theory)MathematicsHamiltonian systemControl theory (sociology)InterconnectionTopology (electrical circuits)Mathematical analysisPhysicsComputer scienceQuantum mechanicsEngineeringMathematical optimizationCombinatoricsComputer networkControl (management)NeutrinoArtificial intelligenceElectrical engineeringControl and Stability of Dynamical SystemsATP Synthase and ATPases Research