On the Synthesis of Boundary Control Laws for Distributed Port-Hamiltonian Systems

DOI10.1109/TAC.2016.2595263zbMath1366.93552OpenAlexW2477439613MaRDI QIDQ5282418

Alessandro Macchelli, Yann Le Gorrec, Hector Ramirez, Hans J. Zwart

Publication date: 27 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2016.2595263

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Asymptotic stability in control theory (93D20)

Related Items

On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems, Dissipativity-based boundary control of linear distributed port-Hamiltonian systems, Energy Shaping Control of 1D Distributed Parameter Systems, Stabilization of a class of mixed ODE-PDE port-Hamiltonian systems with strong dissipation feedback, Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control, Infinite dimensional model of a double flexible-link manipulator: the port-Hamiltonian approach, Output feedback stabilization of an underactuated cascade network of interconnected linear PDE systems using a backstepping approach, On control of voltage-actuated piezoelectric beam: a Krasovskii passivity-based approach, Reduced order in domain control of distributed parameter port-Hamiltonian systems via energy shaping, Observer-based boundary control of distributed port-Hamiltonian systems, Port-Hamiltonian formulation and symplectic discretization of plate models. I: Mindlin model for thick plates, Dynamic transmission conditions for linear hyperbolic systems on networks, Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct, Passivity of boundary controlled and observed stochastic port-Hamiltonian systems subject to multiplicative and input noise, Control Design for Linear Port-Hamiltonian Boundary Control Systems: An Overview