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LMI-Based Dynamic Control of Non-Affine Nonlinear Systems via Takagi-Sugeno Models

Abstract : This paper is concerned with stabilization of non-affine-in-control nonlinear systems, a problem which usually leads to algebraic loops usually broken via dynamical controllers. Conditions in the form of linear matrix inequalities for stabilization of such systems are found by introducing a novel dynamical control scheme based on an exact convex representation of the system nonlinearities. Examples, both physical and numerical, illustrate the proposed methodology as it solves a larger family of stabilization problems.
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https://hal-uphf.archives-ouvertes.fr/hal-03411239
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Submitted on : Tuesday, November 2, 2021 - 9:59:49 AM
Last modification on : Wednesday, November 3, 2021 - 3:53:00 AM

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Thierry-Marie Guerra, Jérémie Guerra, Miguel Bernal. LMI-Based Dynamic Control of Non-Affine Nonlinear Systems via Takagi-Sugeno Models. IEEE WCCI 2018, Jul 2018, Rio de Janeiro, Brazil. pp.1-6, ⟨10.1109/FUZZ-IEEE.2018.8491519⟩. ⟨hal-03411239⟩

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