Mathematical modeling for nonlinear control: a Hamiltonian approach

DOI10.1016/j.matcom.2008.02.011zbMath1157.93314OpenAlexW2060195664MaRDI QIDQ1009989

Kurt Schlacher

Publication date: 3 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.02.011

zbMATH Keywords

Hamiltoniandistributed parameter systemslumped parameter systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51)

Related Items (8)

Distributed port-Hamiltonian modelling for irreversible processes ⋮ Lagrangian and Hamiltonian formulation for infinite-dimensional systems – a variational point of view ⋮ Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators ⋮ On the extraction of the boundary conditions and the boundary ports in second-order field theories ⋮ Scalable Reduction of Elastic Continuum for Boundary Energy Control ⋮ Observer-based self sensing actuation of piezoelastic structures for robust vibration control ⋮ Stability and passivity preserving Petrov-Galerkin approximation of linear infinite-dimensional systems ⋮ Port-Hamiltonian modelling and energy-based control of the Timoshenko beam. An approach based on structural invariants

Cites Work

• Nonlinear control systems: An introduction
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• L\(_2\) gain and passivity techniques in nonlinear control.
• Applied functional analysis. Main principles and their applications
• A maple® package for the calculus of variations based on jet manifolds
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