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Stabilization for Feedforward Systems with Delay in the Input

Abstract : 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.
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https://hal.inria.fr/hal-00760656
Contributor : Frederic Mazenc <>
Submitted on : Tuesday, December 4, 2012 - 11:18:12 AM
Last modification on : Thursday, July 9, 2020 - 4:08:01 PM

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  • HAL Id : hal-00760656, version 1

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Frédéric Mazenc, Michael Malisoff. Stabilization for Feedforward Systems with Delay in the Input. 51th IEEE Conference on Decision and Control (CDC'12), Dec 2012, Maui, Hawaii, United States. pp.3892-3897. ⟨hal-00760656⟩

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