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Stabilization of Affine Systems with Polytopic Control Value Sets

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Abstract

The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Sonora, México, México

    Horacio Leyva & Jesús F. Espinoza

  2. Departamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, México, México

    Baltazar Aguirre-Hernández

Authors
  1. Horacio Leyva
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  2. Baltazar Aguirre-Hernández
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  3. Jesús F. Espinoza
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Correspondence to Jesús F. Espinoza.

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Leyva, H., Aguirre-Hernández, B. & Espinoza, J.F. Stabilization of Affine Systems with Polytopic Control Value Sets. J Dyn Control Syst 29, 1929–1941 (2023). https://doi.org/10.1007/s10883-023-09666-w

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  • DOI: https://doi.org/10.1007/s10883-023-09666-w

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