In the paper a comparative study of selected kinematic path following controllers for a wheeled mobile robot of (2,0) type has been presented. The control strategies are based on one of two approaches to the path parameterizationeither the Serret-Frenet frame with an orthogonal projection or the Serret-Frenet frame with a non-orthogonal projection of a robot on the desired path. The complete control system for the wheeled mobile robot consists of two parts, a kinematic controller and a dynamic controller, because of a presence of nonholonomic constraints. The behaviour of the presented algorithms is demonstrated through computer simulations.

Abstract. In the paper a path following problem for a wheeled mobile robot of (2,0) type has been considered. The kinematic model of the robot was derived with respect to the Serret-Frenet frame. Two kinematic control algorithms -Samson and Morin-Samson -have been tested taking into account their sensitivity to a white noise with a zero mean appearing in the one of state variables. The properties of path following errors have been analysed using statistical techniques. The conclusions related to an acceptable level of noise and a range of applicability of the presented algorithms have been reached.

In the paper a description of a manipulator relative to a desired three-dimensional path was presented. The path is parameterized orthogonally to the Serret-Frenet frame which is moving along the curve. For the path two different time parameterizations were chosen. The control law for the RTR manipulator which ensures realization of the task was specified. Theoretical considerations were illustrated by simulation results.

No abstract

No abstract