Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems

DOI10.1007/978-3-540-73890-9_6zbMath1137.93037OpenAlexW2114573734MaRDI QIDQ5436762

Alessandro Astolfi, Dina Shona Laila

Publication date: 17 January 2008

Published in: Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-73890-9_6

zbMATH Keywords

discrete-time models for Hamiltonian conservative systemsLyapunov difference

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Hamilton's equations (70H05)

Related Items (1)

Phase portraits of separable Hamiltonian systems

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Cites Work

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• Hamiltonian-conserving discrete canonical equations based on variational difference quotients
• Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems
• Open- and closed-loop dissipation inequalities under sampling and controller emulation
• Time integration and discrete Hamiltonian systems
• Discrete mechanics and variational integrators
• Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment
• A note on input-to-state stabilization for nonlinear sampled-data systems
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Interconnection and damping assignment passivity-based control of mechanical systems with underactuation degree one

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