Control por modos deslizantes de orden superior basado en funciones de Lyapunov

Autores/as

DOI:

https://doi.org/10.4995/riai.2022.17013

Palabras clave:

Control integral, Modos deslizantes, Control de estructura variable, Métodos de Lyapunov, Observadores no lineales

Resumen

En este trabajo se presenta una panorámica del desarrollo de los métodos básicos de análisis y diseño de controladores y observadores por modos deslizantes de orden superior. Inicialmente se describen los controladores por retroalimentación de estados con una ley de control discontinua, que generan un modo deslizante de cualquier orden. Posteriormente se presenta una nueva clase de algoritmos por modos deslizantes de orden superior, que consisten en una retroalimentación de estados continua y una acción de control integral discontinua. Se describen también observadores por modos deslizantes, que estiman los estados del sistema en tiempo finito, y que permiten obtener un controlador por retroalimentación de la salida. Todos los diseños presentados se basan en el uso de funciones de Lyapunov (explícitas), que constituyen una contribución importante del grupo de trabajo de los autores en la Universidad Nacional Autónoma de México. La presentación es tutorial y solo se dan los resultados, dejando a un lado la formalización rigurosa y las pruebas matemáticas. Para ello se refiere al lector a la literatura pertinente. Se ilustran los resultados mediante simulaciones y la validación experimental en un sistema de levitación magnética.

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Biografía del autor/a

Jaime A. Moreno, Universidad Nacional Autónoma de México

Coordinador de Eléctrica y Computación, Instituto de Ingeniería

Leonid Fridman, Universidad Nacional Autónoma de México

Departamento de Control y Robótica, División de Ingeniería Eléctrica, Facultad de Ingeniería

Citas

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Publicado

03-06-2022

Cómo citar

Moreno, J. A. y Fridman, L. (2022) «Control por modos deslizantes de orden superior basado en funciones de Lyapunov», Revista Iberoamericana de Automática e Informática industrial, 19(4), pp. 394–406. doi: 10.4995/riai.2022.17013.

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Sección especial: “Aportaciones de investigadores en México al control automático”

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