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» Singular Trajectories of Control-Affine Systems
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SIAMCO
2008
56views more  SIAMCO 2008»
13 years 4 months ago
Singular Trajectories of Control-Affine Systems
Abstract. When applying methods of optimal control to motion planning or stabilization problems, some theoretical or numerical difficulties may arise, due to the presence of specif...
Yacine Chitour, Frédéric Jean, Emman...
CDC
2010
IEEE
196views Control Systems» more  CDC 2010»
12 years 11 months ago
Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system
We analyze in this paper controllability aspects for a 4-dimensional quantum system. The "strong regularity" (cf. [1]) has been proven to be sufficient condition for glob...
Mohamed Belhadj, Andreea Grigoriu, Gabriel Turinic...
AUTOMATICA
2005
82views more  AUTOMATICA 2005»
13 years 4 months ago
Hierarchical trajectory refinement for a class of nonlinear systems
Trajectory generation for nonlinear control systems is an important and difficult problem. In this paper, we provide a constructive method for hierarchical trajectory refinement. ...
Paulo Tabuada, George J. Pappas
IJRR
2000
117views more  IJRR 2000»
13 years 4 months ago
Singularity-Consistent Parameterization of Robot Motion and Control
The inverse kinematics problem is formulated as a parameterized autonomous dynamical system problem, and respective analysis is carried out. It is shown that a singular point of w...
Dragomir N. Nenchev, Yuichi Tsumaki, Masaru Uchiya...
ICRA
2009
IEEE
134views Robotics» more  ICRA 2009»
13 years 11 months ago
Singularity avoidance for over-actuated, pseudo-omnidirectional, wheeled mobile robots
— For mobile platforms with steerable standard wheels it is necessary to precisely coordinate rotation and steering angle of their wheels. An established approach to ensure this ...
Christian Pascal Connette, Christopher Parlitz, Ma...