Adding virtual measurements by signal injection

@article{Combes2015AddingVM,
  title={Adding virtual measurements by signal injection},
  author={Pascal Combes and AlKassem Jebai and François Malrait and Philippe Martin and Pierre Rouchon},
  journal={2016 American Control Conference (ACC)},
  year={2015},
  pages={999-1005}
}
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. 
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