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arXiv · 2511.01457

Data-driven stabilization of nonlinear systems via descriptor embedding

Mohammad Alsalti·Claudio De Persis·Victor G. Lopez·Matthias A. Müller
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Abstract

We introduce the notion of descriptor embedding for nonlinear systems and use it for the data-driven design of stabilizing controllers. Specifically, we provide sufficient data-dependent LMI conditions which, if feasible, return a stabilizing nonlinear controller of the form $u=K(x)Z(x)$ where $K(x)$ belongs to a polytope and $Z$ is a user-defined function. The proposed method is then extended to account for the presence of uncertainties and noisy data. Furthermore, a method to estimate the resulting region of attraction is given using only data. Simulation examples are used to illustrate the results and compare them to existing methods from the literature.

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Mohammad Alsalti, Claudio De Persis, Victor G. Lopez, Matthias A. Müller. 2025-11-03. Data-driven stabilization of nonlinear systems via descriptor embedding. https://arxiv.org/abs/2511.01457

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