Nonholonomic mechanical systems with symmetry
AM Bloch, PS Krishnaprasad, JE Marsden… - Archive for rational …, 1996 - Springer
This work develops the geometry and dynamics of mechanical systems with nonholonomic
constraints and symmetry from the perspective of Lagrangian mechanics and with a view to …
constraints and symmetry from the perspective of Lagrangian mechanics and with a view to …
A review on bicycle dynamics and rider control
AL Schwab, JP Meijaard - Vehicle system dynamics, 2013 - Taylor & Francis
This paper is a review study in dynamics and rider control of bicycles. The first part gives a
brief overview of the modelling of the dynamics of bicycles and the experimental validation …
brief overview of the modelling of the dynamics of bicycles and the experimental validation …
[图书][B] Nonholonomic mechanics
AM Bloch, AM Bloch - 2015 - Springer
Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …
reason for this importance is that nonintegrability is essential to both the mechanics and the …
Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
JP Meijaard, JM Papadopoulos… - Proceedings of the …, 2007 - royalsocietypublishing.org
We present canonical linearized equations of motion for the Whipple bicycle model
consisting of four rigid laterally symmetric ideally hinged parts: two wheels, a frame and a …
consisting of four rigid laterally symmetric ideally hinged parts: two wheels, a frame and a …
Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem
AM Bloch, NE Leonard… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
We develop a method for the stabilization of mechanical systems with symmetry based on
the technique of controlled Lagrangians. The procedure involves making structured …
the technique of controlled Lagrangians. The procedure involves making structured …
Bicycle dynamics and control: adapted bicycles for education and research
KJ Astrom, RE Klein… - IEEE Control Systems …, 2005 - ieeexplore.ieee.org
In this paper, the dynamics of bicycles is analyzed from the perspective of control. Models of
different complexity are presented, starting with simple ones and ending with more realistic …
different complexity are presented, starting with simple ones and ending with more realistic …
[图书][B] Lagrangian reduction by stages
H Cendra, JE Marsden, TS Rațiu - 2001 - books.google.com
This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a
way that allows the reduction process to be repeated; that is, it develops a context for …
way that allows the reduction process to be repeated; that is, it develops a context for …
[HTML][HTML] On the simulation of shared autonomous micro-mobility
Fast urbanization and climate change require innovative systems for an efficient movement
of people and goods in cities. As trends towards vehicle-sharing, autonomous vehicles, and …
of people and goods in cities. As trends towards vehicle-sharing, autonomous vehicles, and …
Bicycles, motorcycles, and models
DJN Limebeer, RS Sharp - IEEE Control Systems Magazine, 2006 - ieeexplore.ieee.org
The development of bicycles and motorcycles since the first patented running machine, or
draisine, in 1817 is described. Bicycle modeling and control were also discussed. These …
draisine, in 1817 is described. Bicycle modeling and control were also discussed. These …
Bicycle dynamics and control
KJ Åström, RE Klein… - Control Systems …, 2005 - portal.research.lu.se
In this paper, the dynamics of bicycles is analyzed from the perspective of control. Models of
different complexity are presented, starting with simple ones and ending with more realistic …
different complexity are presented, starting with simple ones and ending with more realistic …