Global visual-motor estimation for uncalibrated visual servoing

In this paper, we present two methods for the estimation of a globally valid visual-motor model of a robotic manipulator. In conventional uncalibrated visual servoing, the visuo-motor function is approximated locally with a Jacobian. However, for optimal task planning, or nonlinear controller design with global stability guarantee, one needs to know a model that provides some information about the behavior of the system over the whole workspace. Our presented methods remedy this drawback in uncalibrated visual servoing by incrementally building a global estimator based on the movement history. We implement two such methods. The first method is a K-nearest neighborhood regressor over Jacobian that uses previously estimated local models. The second method stores previous movements and computes an estimate of the Jacobian by solving a local least squares problem. Experimental results show that both methods provide better global estimation quality compared to the conventional local estimation method with much lower estimation variance.