Stabilization for feedforward systems with delay in the input
We solve a family of uniform global asymptotic stabilization problems for time varying feedforward systems with a delayed input. Our solution relies on a time-varying change of coordinates and Lyapunov-Krasovskii functionals. It applies under any given constant delay, and provides controllers of arbitrarily small amplitude. We also prove input-to-state stability with respect to additive disturbances on the controllers under certain bounds on the disturbances. We demonstrate our work using a tracking problem for a model that is suitable for high level formation flight of unmanned air vehicles. © 2012 IEEE.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
Mazenc, F., & Malisoff, M. (2012). Stabilization for feedforward systems with delay in the input. Proceedings of the IEEE Conference on Decision and Control, 3892-3897. https://doi.org/10.1109/CDC.2012.6426770