A global optimization approach for sliding mode tuning and existence maps generation

In this work, global optimization techniques based on interval arithmetic are proposed to analyze and synthesize sliding mode (SM) controllers. The proposed methodology allows generating a series of maps, called subpavings, which put in evidence the required relationships among tuning parameters, di...

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Detalles Bibliográficos
Autores: Rosendo, Juan Luis, Monnet, Dominique, De Battista, Hernán, Ninin, Jordan, Clement, Benoit, Garelli, Fabricio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/137743
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/137743
Access Level:acceso abierto
Palabra clave:Ingeniería Electrónica
Nonlinear control systems
Sliding modes
Robust control design
Global optimization
Interval analysis
Descripción
Sumario:In this work, global optimization techniques based on interval arithmetic are proposed to analyze and synthesize sliding mode (SM) controllers. The proposed methodology allows generating a series of maps, called subpavings, which put in evidence the required relationships among tuning parameters, disturbances and control amplitude to fulfill the sufficient condition of SM in a guaranteed way. The a priori knowledge of the control power necessary to guarantee SM behavior of nonlinear systems despite parameter uncertainties and external disturbances is an advantage of this proposal compared to traditional tuning methods, which usually fall into over-sizing solutions. Although the methodology is developed in the context of conventional first-order SM controllers, it could be extended to any other SM design approach.