Nonlinear Static Output Feedback Design for Polynomial Systems With Non-symmetric Input Saturation Bounds

We apply dissipativity theory to the design of nonlinear static output feedback controllers for polynomial systems whose input signals are subject to possibly non-symmetric saturation bounds. In a new approach that extends recent results in literature, a two-step procedure based on sum-of-squares programming is employed for solving this problem, which had not been addressed thus far in literature. A numerical example demonstrates the applicability of the strategy.

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Publication Details

Journal
IEEE Control Systems Letters
Published
2025-01-01
DOI
https://doi.org/10.1109/lcsys.2025.3579382
Primary Topic
Stability and Control of Uncertain Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Nonlinear Static Output Feedback Design for Polynomial Systems With Non-symmetric Input Saturation Bounds

J.G. Silva, Antonis Papachristodoulou, Gabriel F. Machado, Diego de S. Madeira
IEEE Control Systems Letters
Stability and Control of Uncertain Systems
article

Nonlinear Static Output Feedback Design for Polynomial Systems With Non-symmetric Input Saturation Bounds

J.G. Silva, Antonis Papachristodoulou, Gabriel F. Machado, Diego de S. Madeira
article en

Abstract

We apply dissipativity theory to the design of nonlinear static output feedback controllers for polynomial systems whose input signals are subject to possibly non-symmetric saturation bounds. In a new approach that extends recent results in literature, a two-step procedure based on sum-of-squares programming is employed for solving this problem, which had not been addressed thus far in literature. A numerical example demonstrates the applicability of the strategy.

IEEE Control Systems Letters
Universidade Federal do Ceará (BR), University of Oxford (GB), Science Oxford (GB), University of Sheffield (GB)
Engineering and Physical Sciences Research Council, National Council for Forest Research and Development
Openalex Percentile: Top 85%
Stability and Control of Uncertain Systems
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