Constrained control of uncertain, time-varying linear discrete-time systems subject to bounded disturbances

H. N. Nguyen; S. Olaru; P. O. Gutman; M. Hovd

doi:10.1109/TAC.2014.2346872

Constrained control of uncertain, time-varying linear discrete-time systems subject to bounded disturbances

H. N. Nguyen
, S. Olaru
, P. O. Gutman
, M. Hovd

Technion - Israel Institute of Technology
Automatic Control Dept.
Norwegian University of Science and Technology

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

44 Citations (Scopus)

Résumé

The aim of this technical note is twofold. In the first part, robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition. In the second part a novel robust interpolation based control design involving several local unconstrained robust optimal controls is proposed. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and input-to-state stability are given.

langue originale	Anglais
Numéro d'article	6878455
Pages (de - à)	831-836
Nombre de pages	6
journal	IEEE Transactions on Automatic Control
Volume	60
Numéro de publication	3
Les DOIs	https://doi.org/10.1109/TAC.2014.2346872
état	Publié - 1 mars 2015
Modification externe	Oui

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10.1109/TAC.2014.2346872

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abstract = "The aim of this technical note is twofold. In the first part, robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition. In the second part a novel robust interpolation based control design involving several local unconstrained robust optimal controls is proposed. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and input-to-state stability are given.",

keywords = "Optimal control, Predictive control, Quadratic programming, Uncertain systems",

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AB - The aim of this technical note is twofold. In the first part, robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition. In the second part a novel robust interpolation based control design involving several local unconstrained robust optimal controls is proposed. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and input-to-state stability are given.

KW - Optimal control

KW - Predictive control

KW - Quadratic programming

KW - Uncertain systems

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Constrained control of uncertain, time-varying linear discrete-time systems subject to bounded disturbances

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