Visual motion observer-based pose control with panoramic camera via passivity approach

This paper considers the vision-based estimation and control with a panoramic camera via passivity approach. First, a hyperbolic projection of a panoramic camera is presented. Next, using standard body-attached coordinate frames (the world frame, mirror frame, camera frame and object frame), we represent the body velocity of the relative rigid body motion (position and orientation). After that, we propose a visual motion observer to estimate the relative rigid body motion from the measured camera data. We show that the estimation error system with a panoramic camera has the passivity which allows us to prove stability in the sense of Lyapunov. After that, stability and L₂-gain performance analysis for the closed-loop system are discussed. Finally, simulation and experimental results are shown in order to confirm the proposed method.