Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers

DOI10.1016/j.ejcon.2022.100670zbMath1501.93061OpenAlexW4282944687MaRDI QIDQ2095299

Gent Luta, Damiano Rotondo, John Håvard Ulfsnes Aarvåg

Publication date: 9 November 2022

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100670

zbMATH Keywords

controllabilitylinear matrix inequalitiesswitched systemsquadratic systemsCarleman linearization

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35)

Uses Software

• SeDuMi
• YALMIP
• Robotics

Cites Work

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• On the region of attraction of nonlinear quadratic systems
• Some results on the asymptotic stability of second-order nonlinear systems
• The stability of second-order quadratic differential equations
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• The Carleman Approximation Approach to Solve a Stochastic Nonlinear Control Problem
• Prescribed Performance Adaptive Control for Multi-Input Multi-Output Affine in the Control Nonlinear Systems
• Controller Discretization: A Gap Metric Framework for Analysis and Synthesis
• Understanding Neighborhood of Linearization in Undergraduate Control Education [Focus on Education]

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