Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems

In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS f...

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Detalles Bibliográficos
Autores: Elias, Leandro Jose, Faria, Flavio Andrade, Araujo, R., Magossi, Rafael, Oliveira, Vilma Alves
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/231625
Acceso en línea:http://dx.doi.org/10.1109/TFUZZ.2022.3152836
http://hdl.handle.net/11449/231625
Access Level:acceso abierto
Palabra clave:Control systems
full rank factorization
Fuzzy systems
Nonlinear systems
nonlinear systems
norm bounded uncertainties
Real-time systems
Switched controller
switched fuzzy Lyapunov-like functions
Switches
Symmetric matrices
Uncertainty
Descripción
Sumario:In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and that the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation (PDC) design. The main result is given in terms of linear matrix inequalities (LMIs) which guarantees a <i>H</i><sub></sub> attenuation level of for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared to other published results from the literature.