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arXiv · 2608.10158

A New Approach for Feedback Stabilization and its Application for Data-Driven Control of Polynomial Systems

Diego de S. Madeira·Joao Gabriel N. Silva·Wilkley B. Correia·Antonis Papachristodoulou
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Abstract

Inspired by recent developments in dissipativity-based control, this work proposes new sufficient conditions for asymptotic stabilization of nonlinear systems using state feedback. We prove that this new framework is well suited for data-driven control of polynomial systems using noisy measurements, a topic that has lately attracted considerable attention. Two iterative procedures for data-based state feedback design are provided using the proposed framework, that use sum-of-squares (SOS) optimization. Typical limitations of conventional SOS methods based on alternating (D-K) procedures for controller design, such as the need to provide an initialization for a control-Lyapunov function (CLF), are overcome in this paper. Numerical examples demonstrate the applicability and the advantages of the new strategies.

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Diego de S. Madeira, Joao Gabriel N. Silva, Wilkley B. Correia, Antonis Papachristodoulou. 2026-08-10. A New Approach for Feedback Stabilization and its Application for Data-Driven Control of Polynomial Systems. https://arxiv.org/abs/2608.10158

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