Geodesic
On the solution of the constrained multiobjective control problem with the receding horizon approach
Kybernetika, Tome 44 (2008) no. 5, pp. 649-663.

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This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem of simultaneously minimizing a set of $H_{\infty }$ cost functions for a class of systems subject to bounded disturbances and/or parameter uncertainties. Numeric examples are reported to highlight the stabilizing action of the proposed control laws.
Classification : 34H05, 49J35, 90C29, 90C59, 93B36, 93C10, 93C55, 93D15
Keywords: multiobjective optimization; receding horizon control; robust control; stability 
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     author = {De Vito, Daniele and Scattolini, Riccardo},
     title = {On the solution of the constrained multiobjective control problem with the receding horizon approach},
     journal = {Kybernetika},
     pages = {649--663},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2479310},
     zbl = {1178.93089},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a3/}
}
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De Vito, Daniele; Scattolini, Riccardo. On the solution of the constrained multiobjective control problem with the receding horizon approach. Kybernetika, Tome 44 (2008) no. 5, pp. 649-663. http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a3/