Abstract (EN):
This paper addresses the problem of stabilizing to a desired equilibrium point an eye-in-hand system, which consists of a single camera mounted on a rigid body free to move in SE(3). It is assumed that there is a collection of landmarks fixed in the environment and that the image coordinates of those landmarks are provided to the system by an on-board CCD camera. The proposed method addresses not only the problem of stabilization but also that of maintaining feature visibility along the system's trajectory. The resulting solution consists of a feedback control law based on the image coordinates and reconstructed depth information that guarantees i) almost global asymptotic stability of the desired equilibrium point; ii) positive invariance of a conveniently defined subset of SE(3), to enforce feature visibility; and iii) exponential stability of an error vector directly defined in the image plane.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
rita@isr.ist.utl.pt; cjs@isr.ist.utl.pt; hespanha@ece.ucsb.edu; pedro@isr.ist.utl.pt
No. of pages:
6