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Data-driven stabilization of nonlinear polynomial systems with noisy data

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If you have a question about this talk, please contact Xiaodong Cheng .

Based on Willems et al.’s fundamental lemma, stabilizing controllers for unknown linear systems can be learned using finite-length noisy data by solving linear matrix inequalities. We extend this approach to deal with unknown nonlinear polynomial systems by formulating stability certificates in the form of data-dependent sum of squares programs, whose solution directly provides a stabilizing controller and a Lyapunov function. Some variations of the result are also derived to improve the design and to provide a better understanding of the design approach.

The video recording of this talk can be found via the following link:

https://us06web.zoom.us/rec/share/FYvhbTk9yJegWA1cbL5hXjeXTE9fkfIS9yZQGdFs9cSGAcfHuLn5-2yvnEDklfPn.Ky3d2Ds2IffwxdAl

This talk is part of the CUED Control Group Seminars series.

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