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....
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, ...
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...
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 ...
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...