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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 : Wednesday, May 25, 2022 - 8:47:01 AM
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Juan Carlos Arceo Luzanilla, Jimmy Lauber. Copositive Conditions for LMI-Based Controller and Observer Design. 21st IFAC World Congress, Jul 2020, Berlin, Germany. pp.7959-7964, ⟨10.1016/j.ifacol.2020.12.2195⟩. ⟨hal-03406734⟩

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