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Copositive Conditions for LMI-Based Controller and Observer Design

Abstract : In this report we illustrate that nonlinear control and observer design can be described as a Positivstellensatz problem, we consider a quadratic candidate function to stabilize nonlinear systems that have been modeled via the nonlinear sector methodology as an exact convex representation. New shape-independent conditions for satisfying positiveness in double sums are established based on the concept of copositivity. The conditions obtained are compared with previous approaches found in the literature via a numerical example.
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https://hal-uphf.archives-ouvertes.fr/hal-03406734
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Submitted on : Thursday, October 28, 2021 - 8:39:00 AM
Last modification on : Wednesday, November 3, 2021 - 3:56:52 AM

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  • HAL Id : hal-03406734, version 1

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Juan Carlos Arceo Luzanilla, Jimmy Lauber. Copositive Conditions for LMI-Based Controller and Observer Design. 21st IFAC World Congress, 2020, Berlin, Germany. pp.7959-7964. ⟨hal-03406734⟩

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