Bilateral time-scaling for control of task freedoms of a constrained nonholonomic system

— We explore the control of a nonholonomic robot subject to additional constraints on the state variables. In our problem, the user specifies the path of a subset of the state variables (the task freedoms xP ), i.e. a curve xP (s) where s ∈ [0, 1] is a parametrization that the user chooses. We control the trajectory of the task freedoms by specifying a bilateral time-scaling s(t) which assigns a point on the path for each time t. The time-scaling is termed bilateral because there is no restriction on ˙s(t), the task freedoms are allowed to move backwards along the path. We design a controller that satisfies the user directive and controls the remaining state variables (the shape freedoms xR) to satisfy the constraints. Furthermore, we attempt to reduce the number of control switchings, as these result in relatively large errors in our system state. If a constraint is close to being violated (at a switching point), we back up xP along the path for a small time interval and move x...

• Type: Conference
• Year: 2003
• Where: ICRA
• Authors: Siddhartha S. Srinivasa, Michael Erdmann, Matthew T. Mason
• Keywords: ICRA 2003, Robotics, State Variables, Task Freedom, We Control