Temporal finite element formulation of optimal control in mechanisms

DOI10.1016/J.CMA.2010.02.003zbMath1231.70001OpenAlexW1974968975MaRDI QIDQ658781

Anders B. Eriksson, Arne B. Nordmark

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.02.003

zbMATH Keywords

optimal controlbiomechanicsmechanismsdiscretization effectsnumerical implementationmathematical foundation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Control of mechanical systems (70Q05) Biomechanics (92C10) Robot dynamics and control of rigid bodies (70E60)

Related Items (3)

Optimization in simulations of human movement planning ⋮ Optimisation of multiple phase human movements ⋮ Direct multiple shooting and direct collocation perform similarly in biomechanical predictive simulations

Uses Software

• SNOPT

Cites Work

• An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension
• Redundant and force-differentiated systems in engineering and nature
• A numerical procedure for inferring from experimental data the optimization cost functions using a multibody model of the neuro-musculoskeletal system
• Optimization in target movement simulations
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• Efficient forward dynamics simulation and optimization of human body dynamics
• The method of moving asymptotes—a new method for structural optimization
• Optimal stress locations in finite element models
• Second-order optimal control algorithm for complex systems

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