2 research outputs found
Cooperative Curve Tracking in Two Dimensions Without Explicit Estimation of the Field Gradient
We design a control law for two agents to successfully track a level curve in
the plane without explicitly estimating the field gradient. The velocity of
each agent is decomposed along two mutually perpendicular directions, and
separate control laws are designed along each direction. We prove that the
formation center will converge to the neighborhood of the level curve with the
desired level value. The algorithm is tested on some test functions used in
optimization problems in the presence of noise. Our results indicate that in
spite of the control law being simple and gradient-free, we are able to
successfully track noisy planar level curves fast and with a high degree of
accuracy.Comment: 4th International Conference on Control, Decision, and Information
Technologies (CoDIT) 201