Geodesic
Receding-horizon control of constrained uncertain linear systems with disturbances
Kybernetika, Tome 38 (2002) no. 2, p. [169]

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The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs between maximizing the initial feasibility region and guaranteeing ultimate boundedness in the smallest invariant region are investigated.
Classification : 93B50, 93B51, 93C05, 93C55, 93D21
Keywords: constrained linear system; disturbances; discrete-time control system 
@article{KYB_2002__38_2_a2,
     author = {Chisci, Luigi and Falugi, Paola and Zappa, Giovanni},
     title = {Receding-horizon control of constrained uncertain linear systems with disturbances},
     journal = {Kybernetika},
     pages = {[169]},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {2002},
     mrnumber = {1916449},
     zbl = {1265.93107},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a2/}
}
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Chisci, Luigi; Falugi, Paola; Zappa, Giovanni. Receding-horizon control of constrained uncertain linear systems with disturbances. Kybernetika, Tome 38 (2002) no. 2, p. [169]. http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a2/