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Formal Verification of Robotic Behaviors in Presence of Bounded Uncertainties

Abstract : Robotic behaviors are mainly described by differential equations. Those mathematical models are usually not precise enough because of inaccurately known parameters or model simplifications. Nevertheless, robots are often used in critical contexts as medical or military fields. So, uncertainties in mathematical models have to be taken into account in order to produce reliable and safe analysis results. A framework based on interval analysis is proposed to safely verify and analyze robotic behaviors with bounded uncertainties. It follows an interval constraint programming approach, combined with validated numerical integration methods to deal with differential equations. A case study on robust path planning is presented to emphasize the efficiency of the complete framework.
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https://hal.archives-ouvertes.fr/hal-01762205
Contributor : Alexandre Chapoutot Connect in order to contact the contributor
Submitted on : Monday, April 9, 2018 - 5:24:14 PM
Last modification on : Friday, December 3, 2021 - 11:34:10 AM

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  • HAL Id : hal-01762205, version 1

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Julien Alexandre Dit Sandretto, Alexandre Chapoutot, Olivier Mullier. Formal Verification of Robotic Behaviors in Presence of Bounded Uncertainties . Journal of Software Engineering for Robotics, 2017, 8 (1), pp.78-88. ⟨hal-01762205⟩

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