On the stability of T-S fuzzy control for non-linear systems

This work concerns the stability analysis of a non-linear system controlled by a fuzzy T-S control law. It is shown that the closed loop system is in general expressed by a T-S fuzzy system composed of rules with affine linear systems in their consequent parts. The stability of affine T-S systems is...

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Detalles Bibliográficos
Autores: Doulgeri, Zoe, Theocharis, J. B.
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3571
Acceso en línea:https://hdl.handle.net/2099/3571
Access Level:acceso abierto
Palabra clave:Fuzzy control
Non-linear systems
Stability
Sistemes de control
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Descripción
Sumario:This work concerns the stability analysis of a non-linear system controlled by a fuzzy T-S control law. It is shown that the closed loop system is in general expressed by a T-S fuzzy system composed of rules with affine linear systems in their consequent parts. The stability of affine T-S systems is then investigated for a special case using as an example the regulation problem of a single link robot arm. Stability conditions are derived using the indirect and direct Lyapunov method and simulation results are presented.