An LMI approach to stabilization of linear port-controlled Hamiltonian systems

DOI10.1016/S0167-6911(01)00195-5zbMath0994.93047OpenAlexW2150915639MaRDI QIDQ1605405

Stephen Prajna, Gjerrit Meinsma, Arjan J. Van der Schaft

Publication date: 15 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00195-5

zbMATH Keywords

linear matrix inequalitiesstabilizationdampingHamiltonian systemsinterconnection assignmentport-controlled systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear inequalities of matrices (15A39) Hamilton's equations (70H05)

Related Items

A constructive procedure for energy shaping of port-Hamiltonian systems ⋮ On the equivalence of two nonlinear control approaches: immersion and invariance and IDA-PBC ⋮ Observer-based boundary control of distributed port-Hamiltonian systems ⋮ Control via interconnection and damping assignment of linear time-invariant systems: a tutorial ⋮ Stability preservation in Galerkin-type projection-based model order reduction ⋮ Interconnection and damping assignment passivity-based control: a survey ⋮ The matching conditions of controlled Lagrangians and IDA-passivity based control

Uses Software

• LMI toolbox

Cites Work

• Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
• L\(_2\) gain and passivity techniques in nonlinear control.
• Impedance Control: An Approach to Manipulation: Part III—Applications
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Linear Matrix Inequalities in System and Control Theory
• Unnamed Item