Resumen de Estimation and control of oscillators through short-range noisy proximity measurements
Francesco Lo Iudice, José Ángel Acosta Rodríguez, Franco Garofalo, Pietro DeLellis
In this paper, we present a novel estimation and control strategy to balance a formation of discrete-time oscillators on a circle. We consider the case in which each oscillator only gathers noisy proximity measurements, whose range is lower than the desired spacing along the circle, implying that a balanced formation would be completely disconnected. These restrictions pose relevant challenges that are overcome through the symbiotic combination of an estimator that borrows tools from interval analysis and a three-level bang–bang controller. We prove that the formation can be balanced, with an accuracy that can be regulated by tuning a controller parameter. The effectiveness of the proposed strategy is also numerically demonstrated.
