Distributed and backstepping boundary controls for port-Hamiltonian systems with symmetries

DOI10.1080/13873954.2016.1232280zbMath1485.93259OpenAlexW2522311325MaRDI QIDQ5035691

Ngoc Minh Trang Vu, Laurent Lefèvre, Rémy Nouailletas

Publication date: 22 February 2022

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13873954.2016.1232280

zbMATH Keywords

reductiondistributed parameter systemsbackstepping controlplasma controlport-Hamiltonian systemspassivity based controlspatial symmetries

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Application models in control theory (93C95) Networked control (93B70)

Cites Work

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• Finite rank distributed control for the resistive diffusion equation using damping assignment
• Boundary energy shaping of linear distributed port-Hamiltonian systems
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
• Interconnection and damping assignment passivity-based control: a survey
• Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
• Boundary Control of PDEs
• Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach
• 4 Compositional Modelling of Distributed-Parameter Systems
• Control by Interconnection and Standard Passivity-Based Control of Port-Hamiltonian Systems
• Exponential Stability of a Class of Boundary Control Systems
• A Strict Control Lyapunov Function for a Diffusion Equation With Time-Varying Distributed Coefficients
• On Casimir Functionals for Infinite-Dimensional Port-Hamiltonian Control Systems