Model-Free Source Seeking by a Novel Single-Integrator with Attenuating Oscillations and Better Convergence: Robotic Experiments

The classic extremum seeking control (ESC) system has been used, including in experiments, for over a decade as a mean for model-free, real-time method to steer systems, such as mobile robots, to the source of a scalar physical distribution (signal) using only local measurements of said signal. This is referred to in literature as the (source seeking) problem. Similarly, control-affine ESC systems, which are simpler in structure such as single-integrator, have been used for source seeking as well; however, they were rarely experimented on. Both classic ESC and control-affine ESC methods suffer from persistent oscillations even after the system approaches the source they are seeking. In this paper, we implement, and verify by novel robotic experiments, recent results on control-affine ESC, which enable source seeking with attenuating oscillations. We propose a simple, amended single-integrator design which we use in our experiments. The experiments were conducted for a light source seeking problem. Results imply that the proposed design has significant potential as it also demonstrated much better convergence. We hope this paper encourages expansion of the proposed design in other fields, problems and experiments.