Adaptive Homography-Based Visual Servo Tracking Control via a Quaternion Formulation

In this paper, an adaptive homography-based visual servo tracking controller is developed for the camera-in-hand problem using a quaternion formulation to represent rotation tracking error. The desired trajectory in the tracking problem is encoded by a sequence of images (e.g., a video sequence), and Lyapunov methods are employed to facilitate the control design and the stability analysis. An adaptive estimation law is designed to compensate for the lack of unknown depth information. Experimental results are provided to demonstrate the performance of the visual servo tracking controller.