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AUTOMATICA
2002
106views more  AUTOMATICA 2002»
14 years 9 months ago
Controllability of a class of underactuated mechanical systems with symmetry
In this paper we develop results based on geometric mechanics to study the controllability of a class of controlled under-actuated left invariant mechanical systems on Lie groups....
Vikram Manikonda, P. S. Krishnaprasad
76
Voted
CDC
2008
IEEE
169views Control Systems» more  CDC 2008»
14 years 11 months ago
Control of underactuated mechanical systems: Observer design and position feedback stabilization
We identify a class of mechanical systems for which a globally exponentially stable reduced order observer can be designed. The class is characterized by (the solvability of) a set...
Aneesh Venkatraman, Romeo Ortega, Ioannis Sarras, ...
ICRA
1995
IEEE
117views Robotics» more  ICRA 1995»
15 years 1 months ago
Control for an Autonomous Bicycle
The control of nonholonomic and underactuated systems with symmetry is illustrated by the problem of controlling a bicycle. We derive a controller which, using steering and rear-w...
Neil H. Getz, Jerrold E. Marsden
78
Voted
SIAMCO
2008
112views more  SIAMCO 2008»
14 years 9 months ago
Stable Synchronization of Mechanical System Networks
In this paper we address stabilization of a network of underactuated mechanical systems with unstable dynamics. The coordinating control law stabilizes the unstable dynamics with ...
Sujit Nair, Naomi Ehrich Leonard
77
Voted
ICRA
2002
IEEE
114views Robotics» more  ICRA 2002»
15 years 2 months ago
On Mechanical Control Systems with Nonholonomic Constraints and Symmetries
This paper presents a computationally efficient method for deriving coordinate representations for the equations of motion and the affine connection describing a class of Lagrangi...
Francesco Bullo, Milos Zefran