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The paper addresses the development of a kinematic model for a system composed by a nonholonomic mobile robot and a camera used as feedback sensor to close the control loop. It is shown that the proposed homography-based model takes a particular form that brings to a finite sampled equivalent model. The design of a multirate digital control is then descibed and discussed, showing that exact solutions are obtained. Simulation results are also reported to put in evidence the effectiveness of the proposed approach.

HOMOGRAPHY-BASED MOBILE ROBOT MODELING FOR DIGITAL CONTROL IMPLEMENTATION