Stabilization of Nonlinear Singular Systems via Takagi–Sugeno Models and Robust Differentiators View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-06

AUTHORS

Juan Carlos Arceo, Raymundo Márquez, Víctor Estrada-Manzo, Miguel Bernal

ABSTRACT

Concerned with descriptor systems, this paper extends recent results on nonquadratic controller design. The proposal employs an exact Takagi–Sugeno model of the descriptor redundancy form and a fully nonquadratic Lyapunov function. Based on these elements, a switching control law is proposed that achieves stabilization up to the modelling area by feeding back the time derivatives of the membership functions: these are obtained from a Levant’s robust differentiator. Conditions thus obtained turned up to be linear matrix inequalities. Via suitable examples, the methodology is shown to outperform previous approaches on the subject. More... »

PAGES

1451-1459

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40815-018-0463-x

DOI

http://dx.doi.org/10.1007/s40815-018-0463-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1101237759


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