Introduces velocity turnpike concepts and shows that optimal solutions and turnpike orbits in one mechanical system example both reduce to optimal trim solutions for every finite horizon.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
fields
math.OC 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Establishes asymptotic stability of the MPC closed loop using symmetry-induced motion primitives for a mobile robot and provides guidelines to derive stability guarantees when the optimization criterion is inconsistent with the symmetry action.
citing papers explorer
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Towards Velocity Turnpikes in Optimal Control of Mechanical Systems
Introduces velocity turnpike concepts and shows that optimal solutions and turnpike orbits in one mechanical system example both reduce to optimal trim solutions for every finite horizon.
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Symmetry and Motion Primitives in Model Predictive Control
Establishes asymptotic stability of the MPC closed loop using symmetry-induced motion primitives for a mobile robot and provides guidelines to derive stability guarantees when the optimization criterion is inconsistent with the symmetry action.