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Título del libro: Second International Conference On Innovative Computing, Information And Control, Icicic 2007
Título del capítulo: Robust nash strategies based on integral sliding mode control for a two players uncertain LQ game

Autores UNAM:
LEONID FRIDMAN;
Autores externos:

Idioma:
Inglés
Año de publicación:
2007
Palabras clave:

Game theory; Integral equations; Optimization; Problem solving; Robust control; Uncertainty analysis; Linear quadratic (LQ) differential; Minmax strategy; Robust nash strategies; Sliding mode control


Resumen:

This paper tackles the problem of a two players linear quadratic Multi-Model linear quadratic (LQ) differential game affected with matched uncertainties. Based on a recent result of a Robust Nash equilibrium for a multi-modeled LQ game [8], where the players compose a minmax strategy to deal with the parametric uncertainties (unmatched type) in this paper we add second type or uncertainties of the "matched type". It is shown that for the case of two players game, the matched uncertainties can be rejected from the initial time introducing in the strategies an integral sliding mode control term, obtaining a equivalent game dynamic in which the matched uncertainties have been eliminated. © 2007 IEEE.


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