Energy shaping of distributed parameter port-Hamiltonian systems based on finite element approximation

DOI10.1016/j.sysconle.2011.04.016zbMath1236.93087OpenAlexW2017293758MaRDI QIDQ411677

Alessandro Macchelli

Publication date: 30 April 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.04.016

zbMATH Keywords

passivity-based controlCasimir functionsport-Hamiltonian systemsenergy shaping control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20)

Related Items

Explicit simplicial discretization of distributed-parameter port-Hamiltonian systems ⋮ Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems ⋮ On the effects of desired damping matrix and desired Hamiltonian function in the matching equation for port-Hamiltonian systems ⋮ Scalable Reduction of Elastic Continuum for Boundary Energy Control ⋮ Boundary energy shaping of linear distributed port-Hamiltonian systems ⋮ Dirac structures on Hilbert spaces and boundary control of distributed port-Hamiltonian systems ⋮ Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct

Uses Software

• Simulink
• Ode15s

Cites Work

• Unnamed Item
• Stability and stabilization of infinite dimensional systems with applications
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• L\(_2\) gain and passivity techniques in nonlinear control.
• Hamiltonian discretization of boundary control systems
• Interconnection and damping assignment passivity-based control: a survey
• Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation
• Modeling and Control of Complex Physical Systems
• Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
• Achievable Casimirs and its implications on control of port-Hamiltonian systems
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach
• Solving Index-1 DAEs in MATLAB and Simulink
• Dirac Manifolds
• Control by interconnection of mixed port Hamiltonian systems

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