Data-Driven Saturated State Feedback Design for Polynomial Systems Using Noisy Data

• 成果类型: Article
• 署名作者: Madeira, Diego de S.; Correia, Wilkley B.
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3402499
• 发表日期: 2024
• 页码: 7932-7939
• 关键词: Polynomials; State feedback; Nonlinear systems; Noise measurement; Feedback control; vectors; Linear systems; Data-driven control; noisy data; polynomial systems; saturated state feedback; sum-of-squares (SOS)

摘要

In this note, the problem of data-driven saturated state feedback design for polynomial nonlinear systems is solved by means of a sum-of-squares (SOS) approach. This new strategy combines recent results in the dissipativity theory and data-driven feedback control using noisy input-state data. SOS optimization is employed in this work for controller design and to deliver an estimate of the closed-loop domain of attraction under saturated feedback. Numerical examples allow the reader to verify the usefulness of our strategy, which is the first in literature to provide a data-driven and dissipativity-based approach for solving the problem of input saturation for continuous-time polynomial systems.