Detalles del recurso

Descripción

This paper provides a necessary and sufficient condition for the reachability of discrete-time Takagi–Sugeno fuzzy systems that is easy to apply, such that it constitutes a practical test. The proposed procedure is based on checking if all the principal minors associated to an appropriate matrix are positive. If this condition holds, then the rank of the reachability matrix associated to the Takagi–Sugeno fuzzy system is full for any possible sequence of premise variables, and thus the system is completely state reachable. On the other hand, if the principal minors are not positive, the property of the matrix being a block P one with respect to a particular partition of a set of integers is studied in order to conclude about the reachability of the Takagi–Sugeno system. Examples obtained using an inverted pendulum are used to show that it is easy to check this condition, such that the reachability analysis can be performed efficiently using the proposed approach.

Pertenece a

Digital.CSIC  

Autor(es)

Witczak, Marcin -  Rotondo, Damiano -  Puig, Vicenç -  Witczak, Piotr - 

Id.: 70418624

Idioma: eng  - 

Versión: 1.0

Estado: Final

Tipo de recurso: Artículo  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: openAccess

Requerimientos técnicos:  Browser: Any - 

Relación: [References] MINECO/ICTI2013-2016/DPI2014-58104-R
[References] MINECO/ICTI2013-2016/DPI2013-48243-C2-1-R
[References] Postprint
[References] http://dx.doi.org/10.1016/j.jfranklin.2015.10.006
[References] Sí

Fecha de contribución: 12-nov-2017

Contacto:

Localización:
* doi: 10.1016/j.jfranklin.2015.10.006
* issn: 0016-0032
* Journal of the Franklin Institute 352(12): 5936-5951 (2015)
* 10.1016/j.jfranklin.2015.10.006

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.