On the solution of the constrained multiobjective control problem with the receding horizon approach
Daniele De Vito; Riccardo Scattolini
Kybernetika (2008)
- Volume: 44, Issue: 5, page 649-663
- ISSN: 0023-5954
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topDe Vito, Daniele, and Scattolini, Riccardo. "On the solution of the constrained multiobjective control problem with the receding horizon approach." Kybernetika 44.5 (2008): 649-663. <http://eudml.org/doc/33955>.
@article{DeVito2008,
abstract = {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.},
author = {De Vito, Daniele, Scattolini, Riccardo},
journal = {Kybernetika},
keywords = {multiobjective optimization; receding horizon control; robust control; stability; multiobjective optimization; receding horizon control; robust control; stability},
language = {eng},
number = {5},
pages = {649-663},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the solution of the constrained multiobjective control problem with the receding horizon approach},
url = {http://eudml.org/doc/33955},
volume = {44},
year = {2008},
}
TY - JOUR
AU - De Vito, Daniele
AU - Scattolini, Riccardo
TI - On the solution of the constrained multiobjective control problem with the receding horizon approach
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 5
SP - 649
EP - 663
AB - 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.
LA - eng
KW - multiobjective optimization; receding horizon control; robust control; stability; multiobjective optimization; receding horizon control; robust control; stability
UR - http://eudml.org/doc/33955
ER -
References
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