%0 Journal Article %T Adding virtual measurements by signal injection %A Pascal Combes %A Al Kassem Jebai %A Fran£żois Malrait %A Philippe Martin %A Pierre Rouchon %J Mathematics %D 2015 %I arXiv %X We propose a method to "create" a new measurement output by exciting the system with a high-frequency oscillation. This new "virtual" measurement may be useful to facilitate the design of a suitable control law. The approach is especially interesting when the observability from the actual output degenerates at a steady-state regime of interest. The proposed method is based on second-order averaging and is illustrated by simulations on a simple third-order system. %U http://arxiv.org/abs/1510.00338v1