Análisis de Estabilidad de Sistemas Borrosos

[EN] This paper presents a survey on the state of the art of analysis of the stability of fuzzy systems. The difficulties in the analysis of stability of fuzzy systems which are due to the nonlinearity of such systems, are analyzed. The typical stability approaches such as the circle stability crite...

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Detalles Bibliográficos
Autores: Al-Hadithi, Basil M., Matía, Fernando, Jiménez, Agustín
Tipo de recurso: artículo
Fecha de publicación:2009
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:10251/146136
Acceso en línea:https://riunet.upv.es/handle/10251/146136
Access Level:acceso abierto
Palabra clave:Sistemas borrosos
Estabilidad global y asintótica
Modelo borroso afín de Takagi-Sugeno
Global stability
Discrete fuzzy systems
Takagi-Sugeno Affine model
Linear matrix inequalities
Descripción
Sumario:[EN] This paper presents a survey on the state of the art of analysis of the stability of fuzzy systems. The difficulties in the analysis of stability of fuzzy systems which are due to the nonlinearity of such systems, are analyzed. The typical stability approaches such as the circle stability criteron, phase plane method, coniciy method, stability indices and Popov method, are discussed. Lyapunov stability technique is also commented. Attention will be paid to stability analysis based upon the Takagi–Sugeno fuzzy models. Finally, a detailed review will be focused on the stabilty analysis based on piecwise quadratic Lyapunov function using linear matrix inequalities (LMIs).