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On the solution of the constrained multiobjective control problem with the receding horizon approach
Kybernetika, Tome 44 (2008) no. 5, pp. 649-663 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     title = {On the solution of the constrained multiobjective control problem with the receding horizon approach},
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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/

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