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

[EN] We give an overview of the methods of analysis and design of High-Order Sliding Mode Controllers (HOSM) and observers,  including also those taking advantage of a discontinuous integral action. First, discontinuous state feedback controllers enforcing a sliding mode of arbitrary order are descr...

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Detalles Bibliográficos
Autores: Moreno, Jaime A., Fridman, Leonid
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:español
OAI Identifier:oai:riunet.upv.es:10251/187033
Acceso en línea:https://riunet.upv.es/handle/10251/187033
Access Level:acceso abierto
Palabra clave:Sliding Modes
Variable Structure Control
Lyapunov Methods
Integral Control
Nonlinear Observers
Control integral
Modos deslizantes
Control de estructura variable
Métodos de Lyapunov
Observadores no lineales
Descripción
Sumario:[EN] We give an overview of the methods of analysis and design of High-Order Sliding Mode Controllers (HOSM) and observers,  including also those taking advantage of a discontinuous integral action. First, discontinuous state feedback controllers enforcing a sliding mode of arbitrary order are described. Then a recent class of HOSM  controllers is presented, which consists of a continuousstate feedback controller and a discontinuous integral term. High-order sliding mode observers are also introduced,  which are able to estimate robustly and in finite time the states of the uncertain plant, and they allow the implementation of an output feedback control law. All described designs are based in explicit Lyapunov functions, what is a main contribution of the research group of the authors at the Universidad Nacional Aut´onoma de M´exico, in Mexico City. The paper is tutorial and only the basic  results are presented, leaving aside the rigorous mathematical formulation and proof. For this the appropriate literature is referred to. The results are illustrated using simulations and an experimental validation in a laboratory set up of a magnetic levitation system.