Discrete maximum principle in Hamel's formalism for nonholonomic optimal control
type: Item
instance of: scholarly article
title: Discrete maximum principle in Hamel's formalism for nonholonomic optimal control
author: Bin Huang
author: Zhonggui Yi
author: Dong-Hua Shi
published in: Meccanica
publication date: 2024-09-12T00:00:00Z
Mathematics Subject Classification ID: 74-XX
zbMATH DE Number: 7912438
zbMATH Keywords: Hamel's formalism
zbMATH Keywords: nonholonomic integrator
zbMATH Keywords: discrete maximum principle
zbMATH Keywords: trajectory optimization
MaRDI profile type: Publication
cites work: Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
cites work: Nonlinear dynamic modeling of tractor-trailer mobile robots with consideration of wheels inertia and their optimal point-to point path planning
cites work: Forward and inverse dynamics of nonholonomic mechanical systems
cites work: Discrete differential geometry and its role in computational modeling of defects and inelasticity
cites work: Q4857368
cites work: A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems
cites work: Q3136889
cites work: Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
cites work: Geometric discretization of nonholonomic systems with symmetries
cites work: Constraint control of nonholonomic mechanical systems
cites work: Discrete Hamiltonian variational mechanics and Hamel's integrators
cites work: Hamel's formalism for infinite-dimensional mechanical systems
cites work: Hamel's formalism for classical field theories
cites work: Quasivelocities and symmetries in non-holonomic systems
cites work: Hamel’s Formalism and Variational Integrators
cites work: Q3136884
cites work: Optimal attitude control of a rigid body using geometrically exact computations on \(SO(3)\)
cites work: Discrete nonholonomic LL systems on Lie groups
cites work: Discrete mechanics and variational integrators
cites work: Discrete mechanics and optimal control: An analysis
cites work: Q5806966
cites work: Survey of Numerical Methods for Trajectory Optimization
cites work: Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
cites work: Geometric Numerical Integration
cites work: Quasi-coordinates from the point of view of Lie algebroid structures
cites work: Minimum-time optimal control of robotic manipulators based on Hamel's integrators
cites work: Geometric phases and robotic locomotion
cites work: Geometric Mechanics
cites work: GPOPS-II
cites work: SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
cites work: Dynamics of Multibody Systems
cites work: Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
cites work: Dynamics of the discrete Chaplygin sleigh
cites work: Discrete variational Hamiltonian mechanics
cites work: Discrete Hamiltonian variational integrators
DOI: 10.1007/S11012-024-01790-6
description: scientific article; zbMATH DE number 7912438