Orchestrating front and rear sensors for global stabilization of unicycles
Résumé
We consider mobile robots described through unicycle dynamics equipped with range sensors and cameras, one in the front and one in the back providing measurements of the distance and misalignment to a target. We derive locally asymptotically stabilizing control laws driving the robot to the target position and orientation. The local control laws are combined into a hybrid global stabilizer, switching between control laws relying on the measurements from the front and rear sensors. Using Lyapunov arguments in the local setting as well as in the hybrid systems formulation, we prove global asymptotic stability of the target set for the hybrid closed-loop system. The results are illustrated on numerical examples.
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