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
SUPELEC Systems Sciences (E3S)
Automatic Control Dept.
Department of Engineering Cybernetics
Norwegian University of Science and Technology

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

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.

Original language	English
Article number	6878455
Pages (from-to)	831-836
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	3
DOIs	https://doi.org/10.1109/TAC.2014.2346872
Publication status	Published - 1 Mar 2015
Externally published	Yes

Keywords

Optimal control
Predictive control
Quadratic programming
Uncertain systems

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10.1109/TAC.2014.2346872

Cite this

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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",

author = "Nguyen, \{H. N.\} and S. Olaru and Gutman, \{P. O.\} and M. Hovd",

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AU - Hovd, M.

PY - 2015/3/1

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N2 - 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.

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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JF - IEEE Transactions on Automatic Control

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ER -

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

Abstract

Keywords

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