Abstract

GARCIA-ALVARADO, Miguel Ángel; RODRIGUEZ-JIMENES, Guadalupe del Carmen; RUIZ-LOPEZ, Irving Israel  and  CARRILLO-AHUMADA, Jesús. ℒ₂ / 𝒟 Control. Cienc. ergo-sum [online]. 2024, vol.31, e231.  Epub Feb 04, 2025. ISSN 2395-8782.  https://doi.org/10.30878/ces.v31n0a16.

The formal conception of ℒ2 / 𝒟 parametric geometric control is presented. The translation to natural language, current applications and its prospective analysis are described. The main purpose of the paper is to extend the knowledge of the ℒ2 / 𝒟 control fundamentals among the Spanish-speaking Latin American academic community, to comment on its parsimony principle (the capacity of the production of optimal control signals with minimum control actions) and to give an overview of future applications such as the control of mechanical ventilators and other biomedical engineering devices.

Keywords : optimal control; robust control; geometric control; chemical engineering; biochemical engineering; biomedical engineering.

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