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Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

Hoai-Nam Nguyen 1, * Per-Olof Gutman 2 Sorin Olaru 3, 4 Morten Hovd 5
* Corresponding author
1 IFPEN - IFP Energies nouvelles
2 Technion - Israel Institute of Technology [Haifa]
3 L2S - Laboratoire des signaux et systèmes
4 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
5 ITK NTNU - Department of Engineering Cybernetics [Trondheim]
Abstract : A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin. Copyright © 2015 JohnWiley & Sons, Ltd.
Keywords : Constrained control Uncertain systems vertex control Explicit solution
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01397717
Contributor : Françoise Bertrand <>
Submitted on : Wednesday, November 16, 2016 - 11:17:50 AM
Last modification on : Thursday, December 3, 2020 - 10:46:03 AM

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Hoai-Nam Nguyen, Per-Olof Gutman, Sorin Olaru, Morten Hovd. Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints. International Journal of Robust and Nonlinear Control, Wiley, 2016, 26 (12), pp.2652-2667. ⟨10.1002/rnc.3466⟩. ⟨hal-01397717⟩

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