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Funnel-based Reachability Control of Unknown Nonlinear Systems using Gaussian Processes

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arxiv 2209.14015 v1 pith:776R7KHR submitted 2022-09-28 eess.SY cs.SY

Funnel-based Reachability Control of Unknown Nonlinear Systems using Gaussian Processes

classification eess.SY cs.SY
keywords controllerreachabilitysystemunknowndynamicalfunnel-basedgaussianprocesses
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This paper aims to synthesize a reachability controller for an unknown dynamical system. We first learn the unknown system using Gaussian processes and the (probabilistic) guarantee on the learned model. Then we use the funnel-based controller synthesis approach using this approximated dynamical system to design the controller for a reachability specification. Finally, the merits of the proposed method are shown using a numerical example.

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