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Conference Papers Year : 2020

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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Dates and versions

hal-03406734 , version 1 (25-05-2022)

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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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